Demkowicz, L., Melenk, J. M., Badger, J., & Henneking, S. (2024). Stability analysis for electromagnetic waveguides. Part 2: non-homogeneous waveguides. Advances in Computational Mathematics, 50(3), Article 35. https://doi.org/10.1007/s10444-024-10130-x, opens an external URL in a new window

Innerberger, M., Miraçi, A., Praetorius, D., & Streitberger, J. (2024). hp-robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs. ESAIM: Mathematical Modelling and Numerical Analysis, 58(1), 247–272. https://doi.org/10.1051/m2an/2023104, opens an external URL in a new window

Angleitner, N., Faustmann, M., & Melenk, J. M. (2023). H-inverses for RBF interpolation. Advances in Computational Mathematics, 49(6), Article 85. https://doi.org/10.1007/s10444-023-10069-5, opens an external URL in a new window

Faustmann, M., Marcati, C., Melenk, J. M., & Schwab, C. (2023). Exponential Convergence of hp-FEM for the Integral Fractional Laplacian in Polygons. SIAM Journal on Numerical Analysis, 61(6), 2601–2622. https://doi.org/10.1137/22M152493X, opens an external URL in a new window

Banjai, L., Melenk, J. M., & Schwab, C. (2023). hp-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains. IMA Journal of Numerical Analysis, 43(6), 3282–3325. https://doi.org/10.1093/imanum/drac070, opens an external URL in a new window

Helml, V., Innerberger, M., & Praetorius, D. (2023). Plain convergence of goal-oriented adaptive FEM. Computers and Mathematics with Applications, 147, 130–149. https://doi.org/10.1016/j.camwa.2023.07.022, opens an external URL in a new window

Bringmann, P., Carstensen, C., & Streitberger, J. (2023). Local parameter selection in the C⁰ interior penalty method for the biharmonic equation. Journal of Numerical Mathematics. https://doi.org/10.1515/jnma-2023-0028, opens an external URL in a new window

Neunteufel, M., Schöberl, J., & Sturm, K. (2023). Numerical shape optimization of the Canham-Helfrich-Evans bending energy. Journal of Computational Physics, 488, Article 112218. https://doi.org/10.1016/j.jcp.2023.112218, opens an external URL in a new window

Becker, R., Brunner, M., Innerberger, M., Melenk, J. M., & Praetorius, D. (2023). Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. ESAIM: Mathematical Modelling and Numerical Analysis, 57(4), 2193–2225. https://doi.org/10.1051/m2an/2023036, opens an external URL in a new window

Faustmann, M., Stephan, E. P., & Wörgötter, D. (2023). Two-level error estimation for the integral fractional Laplacian. Computational Methods in Applied Mathematics, 23(3), 603–621. https://doi.org/10.1515/cmam-2022-0195, opens an external URL in a new window

Faustmann, M., Marcati, C., Melenk, J. M., & Schwab, C. (2023). Exponential convergence of hp-FEM for the integral fractional Laplacian. In Book of Abstract: 9th International Conference on High Order Finite Element and Isogeometric Methods (pp. 47–47).

Brunner, M., Innerberger, M., Miraçi, A., Praetorius, D., Streitberger, J., & Heid, P. (2023). Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs. IMA Journal of Numerical Analysis, 44(3), 1560–1596. https://doi.org/10.1093/imanum/drad039, opens an external URL in a new window

Innerberger, M., & Praetorius, D. (2023). MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs. Applied Mathematics and Computation, 442, Article 127731. https://doi.org/10.1016/j.amc.2022.127731, opens an external URL in a new window

Bringmann, P. (2023). How to prove optimal convergence rates for adaptive least-squares finite element methods. Journal of Numerical Mathematics, 31(1), 43–58. https://doi.org/10.1515/jnma-2021-0116, opens an external URL in a new window

Angleitner, N., Faustmann, M., & Melenk, J. M. (2023). Exponential meshes and H-matrices. Computers and Mathematics with Applications, 130, 21–40. https://doi.org/10.1016/j.camwa.2022.11.011, opens an external URL in a new window

Di Fratta, G., Jüngel, A., Praetorius, D., & Slastikov, V. (2023). Spin-diffusion model for micromagnetics in the limit of long times. Journal of Differential Equations, 343, 467–494. https://doi.org/10.1016/j.jde.2022.10.012, opens an external URL in a new window

Bahr, B., Faustmann, M., Marcati, C., Melenk, J. M., & Schwab, C. (2023). Exponential Convergence of hp-FEM for the Integral Fractional Laplacian in 1D. In J. M. Melenk, I. Perugia, J. Schöberl, & C. Schwab (Eds.), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1 : Selected Papers from the ICOSAHOM Conference, Vienna, Austria, July 12-16, 2021 (pp. 291–306). Springer. https://doi.org/10.1007/978-3-031-20432-6_18, opens an external URL in a new window

Banjai, L., Melenk, J. M., & Schwab, C. (2023). Exponential convergence of hp FEM for spectral fractional diffusion in polygons. Numerische Mathematik, 153. https://doi.org/10.1007/s00211-022-01329-5, opens an external URL in a new window

Becker, R., Gantner, G., Innerberger, M., & Praetorius, D. (2023). Goal-oriented adaptive finite element methods with optimal computational complexity. Numerische Mathematik, 153, 111–140. https://doi.org/10.1007/s00211-022-01334-8, opens an external URL in a new window

Bernkopf, M., & Melenk, J. M. (2023). Optimal convergence rates in L² for a first order system least squares finite element method. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 57(1), 107–141. https://doi.org/10.1051/m2an/2022026, opens an external URL in a new window

Cuyt, A., Melenk, J. M., Sauter, S. A., & Xu, Y. (2023). Mini-Workshop: Multivariate Orthogonal Polynomials: New synergies with Numerical Analysis. Oberwolfach Reports, 20(3), 2489–2534. https://doi.org/10.4171/owr/2023/43, opens an external URL in a new window

Di Fratta, G., Pfeiler, C.-M., Praetorius, D., & Ruggeri, M. (2023). The Mass-Lumped Midpoint Scheme for Computational Micromagnetics: Newton Linearization and Application to Magnetic Skyrmion Dynamics. Computational Methods in Applied Mathematics, 23(1), 145–175. https://doi.org/10.1515/cmam-2022-0060, opens an external URL in a new window

Melenk, J. M., & Wörgötter, D. (2023). Wavenumber-explicit regularity theory for the time-harmonic Maxwell equations in piecewise smooth media. Oberwolfach Reports, 43, 12–15.

Melenk, J. M., Perugia, I., Schöberl, J., & Schwab, C. (Eds.). (2023). Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1 (Vol. 137). Springer. https://doi.org/10.1007/978-3-031-20432-6, opens an external URL in a new window

Rieder, A. (2023). Double exponential quadrature for fractional diffusion. Numerische Mathematik, 153, 359–410. https://doi.org/10.1007/s00211-022-01342-8, opens an external URL in a new window

Faustmann, M., Marcati, C., Melenk, J. M., & Schwab, C. (2022). Weighted Analytic Regularity for the Integral Fractional Laplacian in Polygons. SIAM Journal on Mathematical Analysis, 54(6), 6323–6357. https://doi.org/10.1137/21M146569X, opens an external URL in a new window

Amad, A. A. S., Ledger, P. D., Betcke, T., & Praetorius, D. (2022). Benchmark computations for the polarization tensor characterization of small conducting objects. Applied Mathematical Modelling, 111, 94–107. https://doi.org/10.1016/j.apm.2022.06.024, opens an external URL in a new window

Melenk, J. M., & Rieder, A. (2022). An exponentially convergent discretization for space–time fractional parabolic equations using 𝘩𝘱-FEM. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drac045, opens an external URL in a new window

Faustmann, M., Melenk, J. M., & Parvizi, M. (2022). 𝘏-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. Advances in Computational Mathematics, 48(5), Article 59. https://doi.org/10.1007/s10444-022-09965-z, opens an external URL in a new window

Feischl, M. (2022). Inf-sup stability implies quasi-orthogonality. Mathematics of Computation, 91(337), 2059–2094. https://doi.org/10.1090/mcom/3748, opens an external URL in a new window

Rieder, A., Sayas, F.-J., & Melenk, J. M. (2022). Time domain boundary integral equations and convolution quadrature for scattering by composite media. Mathematics of Computation, 91(337), 2165–2195. https://doi.org/10.1090/mcom/3730, opens an external URL in a new window

Gangl, P., & Sturm, K. (2022). Automated computation of topological derivatives with application to nonlinear elasticity and reaction–diffusion problems. Computer Methods in Applied Mechanics and Engineering, 398, Article 115288. https://doi.org/10.1016/j.cma.2022.115288, opens an external URL in a new window

Erath, C., Mascotto, L., Melenk, J. M., Perugia, I., & Rieder, A. (2022). Mortar Coupling of 𝘩𝘱-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation. Journal of Scientific Computing, 92(1), Article 2. https://doi.org/10.1007/s10915-022-01849-0, opens an external URL in a new window

Di Fratta, G., Monteil, A., & Slastikov, V. (2022). Symmetry Properties of Minimizers of a Perturbed Dirichlet Energy with a Boundary Penalization. SIAM Journal on Mathematical Analysis, 54(3), 3636–3653. https://doi.org/10.1137/21M143011X, opens an external URL in a new window

Gantner, G., Praetorius, D., & Schimanko, S. (2022). Stable Implementation of Adaptive IGABEM in 2D in MATLAB. Computational Methods in Applied Mathematics, 22(3), 563–590. https://doi.org/10.1515/cmam-2022-0050, opens an external URL in a new window

Faustmann, M., Karkulik, M., & Melenk, J. M. (2022). Local Convergence of the FEM for the Integral Fractional Laplacian. SIAM Journal on Numerical Analysis, 60(3), 1055–1082. https://doi.org/10.1137/20M1343853, opens an external URL in a new window

Kovacs, A., Exl, L., Kornell, A., Fischbacher, J., Hovorka, M., Gusenbauer, M., Breth, L., Oezelt, H., Praetorius, D., Süss, D., & Schrefl, T. (2022). Magnetostatics and micromagnetics with physics informed neural networks. Journal of Magnetism and Magnetic Materials, 548, Article 168951. https://doi.org/10.1016/j.jmmm.2021.168951, opens an external URL in a new window

Doppler, C., Feischl, M., Ganhör, C., Puh, S., Müller, M., Kotnik, M., Mimler, T., Sonnleitner, M., Bernhard, D., & Wechselberger, C. (2022). Low-entry-barrier point-of-care testing of anti-SARS-CoV-2 IgG in the population of Upper Austria from December 2020 until April 2021—a feasible surveillance strategy for post-pandemic monitoring? Analytical and Bioanalytical Chemistry, 414(10), 3291–3299. https://doi.org/10.1007/s00216-022-03966-z, opens an external URL in a new window

Faustmann, M., Melenk, J. M., & Parvizi, M. (2022). Caccioppoli-type estimates and H-matrix approximations to inverses for FEM-BEM couplings. Numerische Mathematik, 150, 849–892. https://doi.org/10.1007/s00211-021-01261-0, opens an external URL in a new window

Auer, F. K., Auzinger, W., Burkotová, J., Rachůnková, I., & Weinmüller, E. B. (2022). On nonlinear singular BVPs with nonsmooth data. Part 2: Convergence of collocation methods. Applied Numerical Mathematics, 171, 149–175. https://doi.org/10.1016/j.apnum.2021.08.016, opens an external URL in a new window

Auzinger, W., Burdeos, K., Fallahpour, M., Koch, O., Mendoza, R., & Weinmüller, E. (2022). A numerical continuation method for parameter-dependent boundary value problems using bvpsuite 2.0. Journal of Numerical Analysis, Industrial and Applied Mechanics (JNAIAM), 16(1–2), 1–13.

Auzinger, W., Dubois, J., Held, K., Hofstätter, H., Jawecki, T., Kauch, A., Koch, O., Kropielnicka, K., Singh, P., & Watzenböck, C. (2022). Efficient Magnus-type integrators for solar energy conversion in Hubbard models. Journal of Computational Mathematics and Data Science, 2(100018), 100018. https://doi.org/10.1016/j.jcmds.2021.100018, opens an external URL in a new window

Becker, R., Brunner, M., Innerberger, M., Melenk, J. M., & Praetorius, D. (2022). Rate-optimal goal-oriented adaptive finite element method for semilinear elliptic PDEs. Computers & Mathematics with Applications, 118, 18–35. https://doi.org/10.1016/j.camwa.2022.05.008, opens an external URL in a new window

Becker, R., Innerberger, M., & Praetorius, D. (2022). Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems. SIAM Journal on Numerical Analysis, 60(3), 1450–1471. https://doi.org/10.1137/21m1458077, opens an external URL in a new window

Buffa, A., Gantner, G., Giannelli, C., Praetorius, D., & Vázquez, R. (2022). Mathematical Foundations of Adaptive Isogeometric Analysis. Archives of Computational Methods in Engineering, 29, 4479–4555. https://doi.org/10.1007/s11831-022-09752-5, opens an external URL in a new window

Davoli, E., Di Fratta, G., Praetorius, D., & Ruggeri, M. (2022). Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction. Mathematical Models and Methods in Applied Sciences, 32(05), 911–939. https://doi.org/10.1142/s0218202522500208, opens an external URL in a new window

Gambi, J. M., García del Pino, M. L., Mosser, J., & Weinmüller, E. (2022). Trailing formations of lightweight spacecrafts to deflect NEAs by means of laser ablation. Acta Astronautica, 190, 241–250. https://doi.org/10.1016/j.actaastro.2021.10.006, opens an external URL in a new window

Gantner, G., & Praetorius, D. (2022). Adaptive BEM for elliptic PDE systems, Part I: Abstract framework for weakly-singular integral equations. Applicable Analysis, 101(6), 2085–2118. https://doi.org/10.1080/00036811.2020.1800651, opens an external URL in a new window

Gantner, G., & Praetorius, D. (2022). Adaptive BEM for elliptic PDE systems, Part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations. Computers & Mathematics with Applications, 117, 74–96. https://doi.org/10.1016/j.camwa.2022.04.006, opens an external URL in a new window

Gantner, G., & Praetorius, D. (2022). Plain convergence of adaptive algorithms without exploiting reliability and efficiency. IMA Journal of Numerical Analysis, 42(2), 1434–1453. https://doi.org/10.1093/imanum/drab010, opens an external URL in a new window

Mauser, N. J., Pfeiler, C.-M., Praetorius, D., & Ruggeri, M. (2022). Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics. Applied Numerical Mathematics, 180, 33–54. https://doi.org/10.1016/j.apnum.2022.05.008, opens an external URL in a new window

Oezelt, H., Qu, L., Kovacs, A., Fischbacher, J., Gusenbauer, M., Beigelbeck, R., Praetorius, D., Masao, Y., Shoji, T., Kato, A., Chantrell, R., Winklhofer, M., Zimanyi, G., & Schrefl, T. (2022). Full-spin-wave-scaled stochastic micromagnetism for mesh-independent simulations of ferromagnetic resonance and reversal. Npj Computational Materials, 8(35). https://doi.org/10.1038/s41524-022-00719-5, opens an external URL in a new window

Akrivis, G., Feischl, M., Kovács, B., & Lubich, C. (2021). HIGHER-ORDER LINEARLY IMPLICIT FULL DISCRETIZATION OF THE LANDAU–LIFSHITZ–GILBERT EQUATION. Mathematics of Computation, 90(329), 995–1038. https://doi.org/10.1090/mcom/3597, opens an external URL in a new window

Gambi, J. M., Garcia del Pino, M. L., Mosser, J., & Weinmüller, E. (2021). Computational Modeling and Simulation to Increase Laser Shooting Accuracy of Autonomous LEO Trackers. Photonics, 8(2), Article 55. https://doi.org/10.3390/photonics8020055, opens an external URL in a new window

Achleitner, F., Kuehn, C., Melenk, J. M., & Rieder, A. (2021). Metastable Speeds in the Fractional Allen-Cahn Equation. Applied Mathematics and Computation, 408(126329), 126329. https://doi.org/10.1016/j.amc.2021.126329, opens an external URL in a new window

Amodio, P., Arnold, A., Levitina, T., Settanni, G., & Weinmüller, E. B. (2021). On the Abramov approach for the approximation of whispering gallery modes in prolate spheroids. Applied Mathematics and Computation, 409(125599), 125599. https://doi.org/10.1016/j.amc.2020.125599, opens an external URL in a new window

Angleitner, N., Faustmann, M., & Melenk, J. M. (2021). Approximating inverse FEM matrices on non-uniform meshes with H-matrices. Calcolo, 58(31). https://doi.org/10.1007/s10092-021-00413-w, opens an external URL in a new window

Auzinger, W., Březinová, I., Grosz, A., Hofstätter, H., Koch, O., & Sato, T. (2021). Efficient adaptive exponential time integrators for nonlinear Schrödinger equations with nonlocal potential. Journal of Computational Mathematics and Data Science, 1(100014), 100014. https://doi.org/10.1016/j.jcmds.2021.100014, opens an external URL in a new window

Auzinger, W., Hofstätter, H., Koch, O., & Quell, M. (2021). Adaptive Time Propagation for Time-Dependent Schrödinger Equations. International Journal of Applied and Computational Mathematics, 7, Article 6. https://doi.org/10.1007/s40819-020-00937-9, opens an external URL in a new window

Auzinger, W., Obelovska, K., Dronyuk, I., Pelekh, K., & Stolyarchuk, R. (2021). A Continuous Model for States in CSMA/CA-Based Wireless Local Networks Derived from State Transition Diagrams. In M. Saraswat, S. Roy, C. Chowdhury, & A. H. Gandomi (Eds.), Proceedings of International Conference on Data Science and Applications (pp. 571–579). Lecture Notes in Networks and Systems, Springer. https://doi.org/10.1007/978-981-16-5348-3_45, opens an external URL in a new window

Baumann, P., & Sturm, K. (2021). Adjoint-based methods to compute higher-order topological derivatives with an application to elasticity. Engineering Computations, 39(1), 60–114. https://doi.org/10.1108/ec-07-2021-0407, opens an external URL in a new window

Becker, R., Innerberger, M., & Praetorius, D. (2021). Optimal convergence rates for goal-oriented FEM with quadratic goal functional. Computational Methods in Applied Mathematics, 21(2), 267–288. https://doi.org/10.1515/cmam-2020-0044, opens an external URL in a new window

Bespalov, A., Praetorius, D., & Ruggeri, M. (2021). Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM. IMA Journal of Numerical Analysis, 42(3), 2190–2213. https://doi.org/10.1093/imanum/drab036, opens an external URL in a new window

Bespalov, A., Praetorius, D., & Ruggeri, M. (2021). Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin FEM. SIAM/ASA Journal on Uncertainty Quantification, 9(3), 1184–1216. https://doi.org/10.1137/20m1342586, opens an external URL in a new window

Bohn, J., & Feischl, M. (2021). Recurrent neural networks as optimal mesh refinement strategies. Computers and Mathematics with Applications, 97, 61–76. https://doi.org/10.1016/j.camwa.2021.05.018, opens an external URL in a new window

Dick, J., & Feischl, M. (2021). A quasi-Monte Carlo data compression algorithm for machine learning. Journal of Complexity, 67(101587), 101587. https://doi.org/10.1016/j.jco.2021.101587, opens an external URL in a new window

Edalatzadeh, M. S., Kalise, D., Morris, K. A., & Sturm, K. (2021). Optimal Actuator Design for the Euler-Bernoulli Vibration Model Based on LQR Performance and Shape Calculus. IEEE Control Systems Letters, 6, 1334–1339. https://doi.org/10.1109/lcsys.2021.3093215, opens an external URL in a new window

Faustmann, M., Melenk, J. M., & Parvizi, M. (2021). On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion. ESAIM: Mathematical Modelling and Numerical Analysis, 55(2), 595–625. https://doi.org/10.1051/m2an/2020079, opens an external URL in a new window

Faustmann, M., Melenk, J. M., & Praetorius, D. (2021). Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Mathematics of Computation, 90(330), 1557–1587. https://doi.org/10.1090/mcom/3603, opens an external URL in a new window

Feischl, M., & Scaglioni, A. (2021). Convergence of adaptive stochastic collocation with finite elements. Computers and Mathematics with Applications, 98, 139–156. https://doi.org/10.1016/j.camwa.2021.07.001, opens an external URL in a new window

Gangl, P., & Sturm, K. (2021). Topological derivative for PDEs on surfaces. SIAM Journal on Control and Optimization, 60(1), 81–103. https://doi.org/10.1137/20m1339040, opens an external URL in a new window

Gantner, G., Haberl, A., Praetorius, D., & Schimanko, S. (2021). Rate optimality of adaptive finite element methods with respect to the overall computational costs. Mathematics of Computation, 90(331), 2011–2040. https://doi.org/10.1090/mcom/3654, opens an external URL in a new window

Haberl, A., Praetorius, D., Schimanko, S., & Vohralík, M. (2021). Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver. Numerische Mathematik, 147(3), 679–725. https://doi.org/10.1007/s00211-021-01176-w, opens an external URL in a new window

Heid, P., Praetorius, D., & Wihler, T. P. (2021). Energy contraction and optimal convergence of adaptive iterative linearized finite element methods. Computational Methods in Applied Mathematics, 21(2), 407–422. https://doi.org/10.1515/cmam-2021-0025, opens an external URL in a new window

Innerberger, M., & Praetorius, D. (2021). Instance-optimal goal-oriented adaptivity. Computational Methods in Applied Mathematics, 21(1), 109–126. https://doi.org/10.1515/cmam-2019-0115, opens an external URL in a new window

Jawecki, T. (2021). A study of defect-based error estimates for the Krylov approximation of phi-functions. Numerical Algorithms, 90(1), 323–361. https://doi.org/10.1007/s11075-021-01190-x, opens an external URL in a new window

Kurz, S., Pauly, D., Praetorius, D., Repin, S., & Sebastian, D. (2021). Functional a posteriori error estimates for boundary element methods. Numerische Mathematik, 147(4), 937–966. https://doi.org/10.1007/s00211-021-01188-6, opens an external URL in a new window

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Markus Melenk, J., & Rieder, A. (2021). hp-FEM for the fractional heat equation. IMA Journal of Numerical Analysis, 41(1), 412–454. https://doi.org/10.1093/imanum/drz054, opens an external URL in a new window

Melenk, J. M., & Rieder, A. (2021). On superconvergence of Runge-Kutta convolution quadrature for the wave equation. Numerische Mathematik, 147(1), 157–188. https://doi.org/10.1007/s00211-020-01161-9, opens an external URL in a new window

Melenk, J. M., & Sauter, S. A. (2021). wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Foundations of Computational Mathematics, 21(1), 125–241. https://doi.org/10.1007/s10208-020-09452-1, opens an external URL in a new window

Rieder, A., Sayas, F.-J., & Melenk, J. M. (2021). Runge-Kutta approximation for C₀-semigroups in the graph norm with applications to time domain boundary integral equations. Partial Differential Equations and Applications, 1(6), Article 49. https://doi.org/10.1007/s42985-020-00051-x, opens an external URL in a new window

Erath, C., Gantner, G., & Praetorius, D. (2020). Optimal convergence behavior of adaptive FEM driven by simple (h − h/2)-type error estimators. Computers and Mathematics with Applications, 79(3), 623–642. https://doi.org/10.1016/j.camwa.2019.07.014, opens an external URL in a new window

Feischl, M., & Schwab, Ch. (2020). Exponential convergence in H1 of hp-FEM for Gevrey regularity with isotropic singularities. Numerische Mathematik, 144, 323–346. https://doi.org/10.1007/s00211-019-01085-z, opens an external URL in a new window

Albuquerque, Y. F., Laurain, A., & Sturm, K. (2020). A shape optimization approach for electrical impedance tomography with pointwise measurements. Inverse Problems, 36(9), 095006. https://doi.org/10.1088/1361-6420/ab9f87, opens an external URL in a new window

Amodio, P., Budd, C. J., Koch, O., Rottschäfer, V., Settanni, G., & Weinmüller, E. (2020). Near critical, self-similar, blow-up solutions of the generalised Korteweg-de Vries equation: asymptotics and computations. Physica D: Nonlinear Phenomena, 401(132179), 132179. https://doi.org/10.1016/j.physd.2019.132179, opens an external URL in a new window

Di Fratta, G., Innerberger, M., & Praetorius, D. (2020). Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics. Nonlinear Analysis: Real World Applications, 55(103122), 103122. https://doi.org/10.1016/j.nonrwa.2020.103122, opens an external URL in a new window

Di Fratta, G., Pfeiler, C.-M., Praetorius, D., Ruggeri, M., & Stiftner, B. (2020). Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation. IMA Journal of Numerical Analysis, 40(4), 2802–2838. https://doi.org/10.1093/imanum/drz046, opens an external URL in a new window

Feischl, M., & Peterseim, D. (2020). Sparse Compression of Expected Solution Operators. SIAM Journal on Numerical Analysis, 58(6), 3144–3164. https://doi.org/10.1137/20m132571x, opens an external URL in a new window

Feischl, M., & Schwab, Ch. (2020). Exponential convergence in H1 of hp-FEM for Gevrey regularity with isotropic singularities. Numerische Mathematik, 144(2), 323–346. https://doi.org/10.1007/s00211-019-01085-z, opens an external URL in a new window

Führer, T., & Praetorius, D. (2020). A short note on plain convergence of adaptive least-squares finite element methods. Computers and Mathematics with Applications, 80(6), 1619–1632. https://doi.org/10.1016/j.camwa.2020.07.022, opens an external URL in a new window

Gangl, P., & Sturm, K. (2020). A simplified derivation technique of topological derivatives for quasi-linear transmission problems. ESAIM: Control, Optimisation and Calculus of Variations, 26, 106. https://doi.org/10.1051/cocv/2020035, opens an external URL in a new window

Gangl, P., & Sturm, K. (2020). Asymptotic analysis and topological derivative for 3D quasi-linear magnetostatics. ESAIM: Control, Optimisation and Calculus of Variations, 55, 853–875. https://doi.org/10.1051/m2an/2020060, opens an external URL in a new window

Gangl, P., Sturm, K., Neunteufel, M., & Schöberl, J. (2020). Fully and semi-automated shape differentiation in NGSolve. Structural and Multidisciplinary Optimization, 63(3), 1579–1607. https://doi.org/10.1007/s00158-020-02742-w, opens an external URL in a new window

Gantner, G., & Praetorius, D. (2020). Adaptive IGAFEM with optimal convergence rates: T-splines. Computer Aided Geometric Design, 81(101906), 101906. https://doi.org/10.1016/j.cagd.2020.101906, opens an external URL in a new window

Gantner, G., Praetorius, D., & Schimanko, S. (2020). Adaptive isogeometric boundary element methods with local smoothness control. Mathematical Models and Methods in Applied Sciences, 30(02), 261–307. https://doi.org/10.1142/s0218202520500074, opens an external URL in a new window

Innerberger, M., Worm, P., Prauhart, P., & Kauch, A. (2020). Electron-light interaction in nonequilibrium -- exact diagonalization for time dependent Hubbard Hamiltonians. European Physical Journal Plus, 135(922). https://doi.org/10.1140/epjp/s13360-020-00919-2, opens an external URL in a new window

Jawecki, T., Auzinger, W., & Koch, O. (2020). Computable upper error bounds for Krylov approximations to matrix exponentials and associated phi-functions. BIT Numerical Mathematics, 60(1), 157–197. https://doi.org/10.1007/s10543-019-00771-6, opens an external URL in a new window

Karkulik, M., Melenk, J. M., & Rieder, A. (2020). Stable decompositions of hp-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D. ESAIM: Mathematical Modelling and Numerical Analysis, 54(1), 145–180. https://doi.org/10.1051/m2an/2019041, opens an external URL in a new window

Khodadadian, A., Noii, N., Parvizi, M., Abbaszadeh, M., Wick, T., & Heitzinger, C. (2020). A Bayesian estimation method for variational phase-field fracture problems. Computational Mechanics, 66(4), 827–849. https://doi.org/10.1007/s00466-020-01876-4, opens an external URL in a new window

Khodadadian, A., Parvizi, M., & Heitzinger, C. (2020). An adaptive multilevel Monte-Carlo algorithm for the stochastic drift-diffusion-Poisson system. Computer Methods in Applied Mechanics and Engineering, 368(113163), 113163. https://doi.org/10.1016/j.cma.2020.113163, opens an external URL in a new window

Mascotto, L., Melenk, J. M., Perugia, I., & Rieder, A. (2020). FEM-BEM mortar coupling for the Helmholtz equation in three dimensions. Computers and Mathematics with Applications, 80(11), 2351–2378. https://doi.org/10.1016/j.camwa.2020.04.014, opens an external URL in a new window

Melenk, J. M., & Rojik, C. (2020). On commuting p-version projection-based interpolation on tretrahedra. Mathematics of Computation, 89(321), 45–87. https://doi.org/10.1090/mcom/3454, opens an external URL in a new window

Melenk, J. M., Sauter, S. A., & Torres, C. (2020). Wave number-Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems. SIAM Journal on Numerical Analysis, 58(4), 2119–2143. https://doi.org/10.1137/19m1253952, opens an external URL in a new window

Pfeiler, C.-M., & Praetorius, D. (2020). Dörfler marking with minimal cardinality is a linear complexity problem. Mathematics of Computation, 89(326), 2735–2752. https://doi.org/10.1090/mcom/3553, opens an external URL in a new window

Pfeiler, C.-M., Ruggeri, M., Stiftner, B., Exl, L., Hochsteger, M., Hrkac, G., Schöberl, J., Mauser, N. J., & Praetorius, D. (2020). Computational micromagnetics with Commics. Computer Physics Communications, 248(106965), 106965. https://doi.org/10.1016/j.cpc.2019.106965, opens an external URL in a new window

Praetorius, D., Ruggeri, M., & Stephan, E. P. (2020). The saturation assumption yields optimal convergence of two-level adaptive BEM. Applied Numerical Mathematics, 152, 105–124. https://doi.org/10.1016/j.apnum.2020.01.014, opens an external URL in a new window

Schattauer, C., Linhart, L., Fabian, T., Jawecki, T., Auzinger, W., & Libisch, F. (2020). Graphene quantum dot states near defects. Physical Review B, 102(155430). https://doi.org/10.1103/physrevb.102.155430, opens an external URL in a new window

Sturm, K. (2020). First-order differentiability properties of a class of equality constrained optimal value functions with applications to shape optimization. Journal of Nonsmooth Analysis and Optimization. https://doi.org/10.46298/jnsao-2020-6034, opens an external URL in a new window

Sturm, K. (2020). Topological sensitivities via a Lagrangian approach for semilinear problems. Nonlinearity, 33(9), 4310–4337. https://doi.org/10.1088/1361-6544/ab86cb, opens an external URL in a new window

Gambi, J. M., Garcia del Pinto, M. L., Mosser, J., & Weinmüller, E. (2019). Numerical Approach for the Computation of Preliminary Post-Newtonian Corrections for Laser Links in Space. International Journal of Aerospace Engineering, 2019, 1–7. https://doi.org/10.1155/2019/3723018, opens an external URL in a new window

Auzinger, W., Březinová, I., Hofstätter, H., Koch, O., & Quell, M. (2019). Practical Splitting Methods for the Adaptive Integration of Nonlinear Evolution Equations. Part II: Comparison of Local Error Estimation and Step-Selection Strategies for Nonlinear Schrödinger and Wave Equations. Computer Physics Communications, 234, 55–71. https://doi.org/10.1016/j.cpc.2018.08.003, opens an external URL in a new window

Auzinger, W., Hofstätter, H., & Koch, O. (2019). Non-existence of generalized splitting methods with positive coefficients of order higher than four. Applied Mathematics Letters, 97, 48–52. https://doi.org/10.1016/j.aml.2019.05.017, opens an external URL in a new window

Auzinger, W., Hofstätter, H., & Koch, O. (2019). Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations. Journal of Computational and Applied Mathematics, 356, 339–357. https://doi.org/10.1016/j.cam.2019.02.011, opens an external URL in a new window

Auzinger, W., Hofstätter, H., Koch, O., Kropielnicka, K., & Singh, P. (2019). Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime. Applied Mathematics and Computation, 362(124550), 124550. https://doi.org/10.1016/j.amc.2019.06.064, opens an external URL in a new window

Auzinger, W., Hofstätter, H., Koch, O., Quell, M., & Thalhammer, M. (2019). A Posteriori Error Estimation for Magnus-Type Integrators. ESAIM: Mathematical Modelling and Numerical Analysis, 53(1), 197–218. https://doi.org/10.1051/m2an/2018050, opens an external URL in a new window

Banjai, L., Melenk, J. M., Nochetto, R. H., Otárola, E., Salgado, A. J., & Schwab, C. (2019). Tensor FEM for spectral fractional diffusion. Foundations of Computational Mathematics, 19(4), 901–962. https://doi.org/10.1007/s10208-018-9402-3, opens an external URL in a new window

Bespalov, A., Betcke, T., Haberl, A., & Praetorius, D. (2019). Adaptive BEM with optimal convergence rates for the Helmholtz equation. Computer Methods in Applied Mechanics and Engineering, 346, 260–287. https://doi.org/10.1016/j.cma.2018.12.006, opens an external URL in a new window

Bespalov, A., Praetorius, D., Rocchi, L., & Ruggeri, M. (2019). Convergence of adaptive stochastic Galerkin FEM. SIAM Journal on Numerical Analysis, 57(5), 2359–2382. https://doi.org/10.1137/18m1229560, opens an external URL in a new window

Bespalov, A., Praetorius, D., Rocchi, L., & Ruggeri, M. (2019). Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs. Computer Methods in Applied Mechanics and Engineering, 345, 951–982. https://doi.org/10.1016/j.cma.2018.10.041, opens an external URL in a new window

Betcke, T., Haberl, A., & Praetorius, D. (2019). Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra. Journal of Computational Physics, 397(108837), 108837. https://doi.org/10.1016/j.jcp.2019.07.036, opens an external URL in a new window

Di Fratta, G., Führer, T., Gantner, G., & Praetorius, D. (2019). Adaptive Uzawa algorithm for the Stokes equation. ESAIM: Mathematical Modelling and Numerical Analysis, 53(6), 1841–1870. https://doi.org/10.1051/m2an/2019039, opens an external URL in a new window

Dick, J., Feischl, M., & Schwab, C. (2019). Improved efficiency of a multi-index FEM for computational uncertainty quantification. SIAM Journal on Numerical Analysis, 57(4), 1744–1769. https://doi.org/10.1137/18m1193700, opens an external URL in a new window

Erath, C., & Praetorius, D. (2019). Adaptive vertex-centered finite volume methods for general second-order linear elliptic PDEs. IMA Journal of Numerical Analysis, 39(2), 983–1008. https://doi.org/10.1093/imanum/dry006, opens an external URL in a new window

Erath, C., & Praetorius, D. (2019). Optimal adaptivity for the SUPG finite element method. Computer Methods in Applied Mechanics and Engineering, 353, 308–327. https://doi.org/10.1016/j.cma.2019.05.028, opens an external URL in a new window

Feischl, M. (2019). Optimality of a standard adaptive finite element method for the Stokes problem. SIAM Journal on Numerical Analysis, 57(3), 1124–1157. https://doi.org/10.1137/17m1153170, opens an external URL in a new window

Führer, T., Gantner, G., Praetorius, D., & Schimanko, S. (2019). Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods. Computer Methods in Applied Mechanics and Engineering, 351, 571–598. https://doi.org/10.1016/j.cma.2019.03.038, opens an external URL in a new window

Führer, T., Haberl, A., Praetorius, D., & Schimanko, S. (2019). Adaptive BEM with inexact PCG solver yields almost optimal computational costs. Numerische Mathematik, 141(4), 967–1008. https://doi.org/10.1007/s00211-018-1011-1, opens an external URL in a new window

Gopalakrishnan, J., Schöberl, J., & Wintersteiger, C. (2019). An explicit Mapped Tent Pitching scheme for hyperbolic systems. In M. Kaltenbacher, J. M. Melenk, L. Nannen, & F. Toth (Eds.), Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation (pp. 272–273). Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. https://doi.org/10.34726/waves2019, opens an external URL in a new window

Hrkac, G., Pfeiler, C.-M., Praetorius, D., Ruggeri, M., Segatti, A., & Stiftner, B. (2019). Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics. Advances in Computational Mathematics, 45(3), 1329–1368. https://doi.org/10.1007/s10444-019-09667-z, opens an external URL in a new window

Kapidani, B., & Schöberl, J. (2019). A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in open domians. In M. Kaltenbacher, J. M. Melenk, L. Nannen, & F. Toth (Eds.), Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation (pp. 432–433). Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. https://doi.org/10.34726/waves2019, opens an external URL in a new window

Karkulik, M., & Melenk, J. M. (2019). H-matrix approximability of inverses of discretizations of the fractional Laplacian. Advances in Computational Mathematics, 45(5–6), 2893–2919. https://doi.org/10.1007/s10444-019-09718-5, opens an external URL in a new window

Kraus, J., Pfeiler, C.-M., Praetorius, D., Ruggeri, M., & Stiftner, B. (2019). Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics. Journal of Computational Physics, 398(108866), 108866. https://doi.org/10.1016/j.jcp.2019.108866, opens an external URL in a new window

Nannen, L., Tichy, K., & Wess, M. (2019). Complex Scaled Infinite Elements for Wave Equations in Heterogeneous Open Systems. In M. Kaltenbacher, J. M. Melenk, L. Nannen, & F. Toth (Eds.), Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation (pp. 520–521). Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. https://doi.org/10.34726/waves2019, opens an external URL in a new window

Taus, M., Zepeda-Núnez, L., Hewett, R. J., & Demanent, L. (2019). L-Sweeps: a scalable parallel preconditioner for the high-frequency Helmholtz equation. In M. Kaltenbacher, J. M. Melenk, L. Nannen, & F. Toth (Eds.), Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation (pp. 250–251). Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. https://doi.org/10.34726/waves2019, opens an external URL in a new window

Tung, M. M., & Weinmüller, E. B. (2019). Acoustic Metamaterial Models on the (2+1)D Schwarzschild Plane. Journal of Computational and Applied Mathematics, 346, 162–170. https://doi.org/10.1016/j.cam.2018.07.009, opens an external URL in a new window

Melenk, J. M., & Wörgötter, D. (2024, May 16). Wavenumber-explicit analysis of Maxwell’s equations in piecewise smooth media. Semiclapp, Nice, France. https://doi.org/10.34726/6365, opens an external URL in a new window

Scaglioni, A., An, X., Dick, J., Feischl, M., & Tran, T. (2024, May 16). Sparse grid approximation of stochastic dynamic micromagnetics. Austrian Numerical Analysis Days 2024, Innsbruck, Austria.

Miraci, A. (2024, May 3). Role of hp-robust solvers in optimal complexity of AFEM. Numerical Analysis and Scientific Computing Seminar (2024), Manchester, United Kingdom of Great Britain and Northern Ireland (the).

Miraci, A. (2024, April 24). Parameter-robust convergence and optimal complexity of AFEM. Seminar in the Framework of the PDE Afternoon (2024), Wien, Austria.

Feischl, M. (2024, April 5). Optimality of adaptive discretizations. The ABCs of Sparsity and Singular Structures, Aachen, Germany.

Sturm, K. (2024, March 26). The topological state derivative with an applications to Dirichlet control. Seminar talk “Thema: Optimierung,” Duisburg, Germany.

Scaglioni, A., An, X., Dick, J., Feischl, M., & Tran, T. (2024, March 21). Sparse grid approximation of nonlinear SPDEs: The Landau–Lifshitz–Gilbert problem. Annaul retreat CRC Wave phenomena, Bad Herrenalb, Germany.

Feischl, M. (2024, March 4). Stochastic collocation for dynamic micromagnetism. Advanced Finite Elements Methods for Nonlinear PDEs 2024, China.

Praetorius, D., Gantner, G., Innerberger, M., Miraci, A., & Streitberger, J. (2024, February 28). Optimal complexity of adaptive FEM for nonlinear PDEs. Numerical Analysis Seminar at the University of Hongkong (2024), Hong Kong, China.

Scaglioni, A., An, X., Dick, J., Feischl, M., & Tran, T. H. (2024, February 27). Sparse grid approximation of stochastic dynamic micromagnetics. SIAM Conference on Uncertainty Quantification (UQ24), Trieste, Italy.

Feischl, M., & Hackl, H. (2024, January 18). Optimal mesh coarsening with constraints. 7th Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2024), Concepcion, Chile.

Melenk, J. M., Bahr, B., Faustmann, M., Marcati, C., & Schwab, C. (2024, January 10). hp-FEM for the integral fractional Laplacian in polygons. Conference on Advanced Numerical Methods for Non-local Problems 2024, Istanbul, Turkey.

Bringmann, P. (2023, November 16). Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methods. BI.discrete23: Numerical Analysis Workshop, Bielefeld, Germany.

Feischl, M. (2023, November 15). Adaptive approximation of stochastic processes. BI.discrete Workshop, Bielefeld, Germany.

Melenk, J. M. (2023, October 17). hp-FEM for the integral fractional Laplacian in polygons. International Workshop on Computational Mathematics (IWCM 2023), Hangzhou, China.

Sturm, K., Baumann, P., Mazari, I., Blauth, S., & Gangl, P. (2023, September 26). A second order level-set algorithm and the topological state derivatve. Kaiserslautern Applied and Industrial Mathematics Days – KLAIM 2023, Germany.

Melenk, J. M., & Wörgötter, D. (2023, September 25). Wavenumber-explicit regularity theory for the time-harmonic Maxwell equations in piecewise smooth media. Mini-Workshop: Multivariate Orthogonal Polynomials: New synergies with Numerical Analysis, Oberwolfach, Germany.

Feischl, M., & Scaglioni, A. (2023, September 19). Stochastic collocation for dynamic micromagnetism. ÖMG Tagung 2023 : Meeting of the Austrian Mathematical Society, Graz, Austria.

Feischl, M. (2023, September 5). High-dimensional and adaptive approximation of micromagnetics. European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2023), Lissabon, Portugal.

Brunner, M., Becker, R., Innerberger, M., Melenk, J. M., & Praetorius, D. (2023, September 4). Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs. European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2023), Lissabon, Portugal.

Streitberger, J., Bringmann, P., Brunner, M., Miraci, A., & Praetorius, D. (2023, September 4). Cost-optimal goal-oriented adaptive FEM for linear elliptic PDEs. European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2023), Lissabon, Portugal.

Bringmann, P. (2023, August 31). Least-squares finite element methods - An introduction. Indian Institute of Technology Bombay (IITB): Department of Mathematics Seminar 2023, Mumbai, India.

Melenk, J. M., Sauter, S., & Wörgötter, D. (2023, August 25). Wavenumber-explicit hp-FEM analysis for Maxwell’s equations in piecewise smooth media. Christoph Schwab @60 - Seminar for Applied Mathematics 2023, Zürich, Switzerland.

Baumann, P., Mazari, I., & Sturm, K. (2023, August 24). Topology optimisation with general dilatations via the topological state derivative. 10th International Congress on Industrial and Applied Mathematics : ICIAM 2023 Tokyo, Tokyo, Japan.

Melenk, J. M., Bernkopf, M., Bertrand, F., Chaumont-Frelet, T., & Nicaise, S. (2023, August 17). Wavenumber-explicit convergence analysis for the time-harmonic elastic wave equation. International Conference on Spectral and High Order Methods (ICOSAHOM 2023), Seoul, Korea (the Democratic People’s Republic of).

Melenk, J. M., Rojik, C., Sauter, S., & Wörgötter, D. (2023, August 15). p-version projection-based interpolation and time-harmonic Maxwell’s equations in piecewise smooth media. International Conference on Spectral and High Order Methods (ICOSAHOM 2023), Seoul, Korea (the Democratic People’s Republic of).

Melenk, J. M., Bernkopf, M., Bertrand, F., Chaumont-Frelet, T., Nicaise, S., Sauter, S., & Wörgötter, D. (2023, July 27). Wavenumber-explicit hp-FEM analysis for vector-valued wave propagation problems. PoWER2023: Propagation of Waves, European Researchers, Turin, Italy.

Rieder, A. (2023, July 26). A p-version of convolution quadrature in wave propagation. POWER 2023, Torino, Italy.

Faustmann, M., Marcati, C., Melenk, J. M., & Schwab, C. (2023, June 29). Exponential convergence of hp-FEM for the integral fractional Laplacian. 29th Biennial Conference on Numerical Analysis, Glasgow, United Kingdom of Great Britain and Northern Ireland (the).

Praetorius, D., Brunner, M., Heid, P., Innerberger, M., Miraci, A., & Streitberger, J. (2023, June 13). Adaptive FEM for linear elliptic PDEs: Optimal complexity. FoCM 2023, Paris, France.

Melenk, J. M., Bahr, B., Faustmann, M., Parvizi, M., & Praetorius, D. (2023, June 12). AFEM for the fractional Laplacian. Foundations of Computational Mathematics (FoCM 2023), Paris, France.

Brunner, M., Praetorius, D., Becker, R., Innerberger, M., & Melenk, J. M. (2023, June 8). Goal-oriented adaptivity for semilinear elliptic PDEs. Jena-Augsburg-Meeting (JAM) on Numerical Analysis, Augsburg, Germany.

Bringmann, P. (2023, May 3). Discontinuous least-squares finite element methods with built-in a posteriori error estimation. Forschungsseminar Numerische Mathematik der Friedrich-Schiller-Universität Jena 2023, Jena, Germany.

Streitberger, J., Brunner, M., Heid, P., Innerberger, M., Miraci, A., & Praetorius, D. (2023, April 27). Adaptive FEM for linear elliptic PDEs: optimal complexity. Austrian Numerical Analysis Day 2023, Wien, Austria.

Miraci, A., Brunner, M., Heid, P., Innerberger, M., Praetorius, D., & Streitberger, J. (2023, March 22). Adaptive FEM for linear elliptic PDEs: Optimal complexity. Finite Element Workshop 2023, Jena, Germany.

Melenk, J. M., Banjai, L., Rieder, A., & Schwab, Ch. (2023, March 9). hp-FEM for the spectral fractional Laplacian in polygons. Nonlocal Equations: Analysis and Numerics 2023, Bielefeld, Germany.

Faustmann, M., & Rieder, A. (2023, March 8). FEM-BEM Coupling in Fractional Diffusion. Nonlocal Equations: Analysis and Numerics, Germany.

Melenk, J. M., Bernkopf, M., & Chaumont-Frelet, T. (2023, February 17). Wavenumber-explicit hp-FEM analysis for the Helmholtz equation in heterogeneous media. Numerikkolloquium der Universität Tübingen 2023, Tübingen, Germany.

Melenk, J. M., Faustmann, M., Schwab, Ch., & Marcati, C. (2022, November). weighted analytic regularity for the integral fractional Laplacian. BAIL 2022, Argentina.

Melenk, J. M., Faustmann, M., Schwab, Ch., & Marcati, C. (2022, November). weighted analytic regularity for the integral fractional Laplacian. Journees singulieres, France.

Melenk, J. M., Faustmann, M., Schwab, Ch., & Marcati, C. (2022, November). weighted analytic regularity for the integral fractional Laplacian. one world numerical analysis seminar, Germany.

Melenk, J. M., Schwab, Ch., & Banjai, L. (2022, November). hp-FEM for the spectral fracational Laplacian. BAIL 2022, Argentina.

Faustmann, M., Marcati, C., Melenk, J. M., & Schwab, Ch. (2022, September 15). Weighted analytic regularity and hp-FEM for the integral fractional Laplacian. Chemnitz FE Symposium 2022, Herrsching, Germany.

Melenk, J. M., Banjai, L., Schwab, Ch., & Rieder, A. (2022, September). hp-FEM for the spectral fractional Laplacian. CMAM-9 (TU Wien), Austria.

Melenk, J. M., Faustmann, M., & Karkulik, M. (2022, September). local error analysis for nonlocal operators. Chemnitz FEM Symposium 2022 (Herrsching), Germany.

Melenk, J. M., Sauter, S. A., chaumont-frelet, & Bernkopf, M. (2022, September). wavenumber-explicit analysis of heterogeneous Helmholtz problems. Oberwolfach meeting semiclassical analysis meets numerical analysis, Germany.

Faustmann, M., Marcati, C., Melenk, J. M., & Schwab, Ch. (2022, August 31). Weighted analytic regularity for the integral fractional Laplacian in polygons. Computational Methods in Applied Mathematics 2022, Wien, Austria.

Melenk, J. M., Faustmann, M., & Karkulik, M. (2022, August). local error analysis for nonlocal operators. Boundary Elements and Friends, Innsbruck, Austria.

Melenk, J. M., Sauter, S. A., Chaumont-Frelet, & Bernkopf, M. (2022, August). wavenumber-explicit analysis of heterogeneous Helmholtz problems. WAVES 2022, Paris, France.

Melenk, J. M., Sauter, S. A., chaumont-frelet, & Bernkopf, M. (2022, May). wavenumber-explicit analysis of heterogeneous Helmholtz problems. Colloquium of the Oden Institute, Austin, TX, United States of America (the).

Melenk, J. M., Sauter, S. A., chaumont-frelet, & Bernkopf, M. (2022, May). wavenumber-explicit analysis of heterogeneous Helmholtz problems. Colloquium of the mathematics department of Texas A&M University, College Station, TX, United States of America (the).

Melenk, J. M., Sauter, S. A., chaumont-frelet, & Bernkopf, M. (2022, March). wavenumber-explicit analysis of heterogeneous Helmholtz problems. CSRC Colloquium, Peking, China.

Melenk, J. M., Faustmann, M., Schwab, Ch., & Marcati, C. (2022, February). weighted analytic regularity for the integral fractional Laplacian. BI-discrete 2022, Bielefeld, Germany.

Melenk, J. M., Faustmann, M., Schwab, Ch., & Marcati, C. (2022, February). weighted analytic regularity for the integral fractional Laplacian. nonlocal operators at NUS, Singapore, Singapore.

Melenk, J. M., Sauter, S. A., & chaumont-frelet. (2022, February). wavenumber-explicit analysis of heterogeneous Helmholtz problems. Conference on Mathematics of Wave Phenomena (2022), Karlsruhe, Germany.

Auzinger, W., Grosz, A., Hofstätter, H., & Koch, O. (2022). Adaptive Time Propagation of the MCTDHF Equations. SDIDE 2022 - 6th Workshop on Stability and Discretization Issues in Differential Equations, Budapest, Hungary.

Auzinger, W., Held, K., Kauch, A., Watzenböck, C., & Koch, O. (2022). Adaptive Magnus-type integrators for the simulation of solar cells. Austrian Numerical Analysis Day 2022, Linz, Austria.

Bahr, B. H., Faustmann, M., Melenk, J. M., & Praetorius, D. (2022). Adaptive FEM for fractional diffusion. ESI Workshop “Adaptivity, High Dimensionality and Randomness,” Wien, Austria.

Becker, R., Brunner, M., Innerberger, M., Melenk, J. M., & Praetorius, D. (2022). Goal-oriented adaptive finite element method for semilinear elliptic PDEs. RMMM 2022 - Reliable Methods of Mathematical Modeling, Lausanne, Switzerland.

Becker, R., Gantner, G., Innerberger, M., & Praetorius, D. (2022). Goal-oriented adaptive finite element methods with optimal computational complexity. Mathematisches Kolloquium, TH Aachen, Austria.

Becker, R., Innerberger, M., & Praetorius, D. (2022). Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems. RMMM 2022 - Reliable Methods of Mathematical Modeling, Lausanne, Switzerland.

Brunner, M., Gantner, G., Innerberger, M., & Praetorius, D. (2022). Adaptive FEM with quasi-optimal cost for nonlinear PDEs. GATIPOR Workshop 2022 on Interplay of discretization and algebraic solvers: a posteriori error estimates and adaptivity, Paris, France.

Faustmann, M., Marcati, C., Melenk, J. M., & Schwab, C. (2022). Analytic Regularity and hp-FEM for the Integral Fractional Laplacian. 19th European Finite Element Fair, Espo, Finland.

Praetorius, D. (2022). On optimal computational costs of AFEM. CC2LX - Workshop on Finite Element Methods and Adaptivity, TU Wien, Austria.

Auer, F., Auzinger, W., Burkotova, J., Fallahpour, M., Rachunkova, I., & Weinmüller, E. (2021). Numerical Solution of Singular ODEs with Nonsmooth Data. ICNAAM 2021 - 19th International Conference on Numerical Analysis and Applied Mathematics, Rhodos, Greece.

Banjai, L., Melenk, J. M., & Schwab, C. (2021). hp-FEM for the spectral fractional Laplacian in polygons. world congress of computational mechanics 2020, Paris, EU.

Becker, R., Gantner, G., Innerberger, M., & Praetorius, D. (2021). Goal-oriented adaptive finite element methods with optimal computational complexity. Recent Advances in the Numerical Approximation of Partial Differential Equations (RANAPDE 2021), Milan, Italy (online), EU.

Becker, R., Innerberger, M., & Praetorius, D. (2021). Optimal convergence rates for goal-oriented FEM with quadratic goal functional. Online Conference “14th World Congress in Computational Mechanics and ECCOMAS Congress (WCCM-ECCOMAS 2020),” Paris, France, EU.

Bespalov, A., Praetorius, D., & Ruggeri, M. (2021). Rate optimality of an adaptive multilevel stochastic Galerkin finite element method. Congress of the Italian Society of Industrial and Applied Mathematics (SIMAI 2020+2021), Parma, Italy, EU.

Faustmann, M., Karkulik, M., Melenk, J. M., & Praetorius, D. (2021). Finite Element Method for Fractional Diffusion - Recent Results. DMV-ÖMG Jahrestagung 2021, virtuelle Tagung - Zoom / Passau, EU.

Gambi, J. M., Garcia del Pino, M. L., Mosser, J., & Weinmüller, E. (2021). Computational procedure to increase the shooting accuracy of swarms od space-based laser trackers to deflect NEOs by means of ablation. 7th IAA PLANETARY DEFENSE CONFERENCE 2021, Wien, Austria.

Weinmüller, E., Gambi, J. M., Garcia del Pino, M. L., & Mosser, J. (2021). Computational Procedure to Increase the Shooting Accuracy of Swarms of Space-based Laser Trackers to Deflect NEOS by Means of Ablation. 7th IAA Planetary Defense, Wien, Austria.

Banjai, L., Melenk, J. M., & Schwab, C. (2020). hp-FEM for the spectral fractional Laplacian. Recent progress in nonlocal modelling, analysis, and computation, Bejing, China.

Bespalov, A., Praetorius, D., & Ruggeri, M. (2020). Error estimation and adaptive algorithms for multilevel stochastic Galerkin FEM. 20th Biennial Computational Techniques and Applications Conference (CTAC 2020), Sydney, Australia.

Bespalov, A., Praetorius, D., & Ruggeri, M. (2020). Error estimation and adaptive algorithms for multilevel stochastic Galerkin FEM. Chemnitz Finite Element Symposium 2020 (online edition), Chemnitz, Germany.

Di Fratta, G., Innerberger, M., Praetorius, D., Pfeiler, C.-M., & Ruggeri, M. (2020). Chiral magnetic skyrmions and computational micromagnetism. 19th GAMM Seminar on Microstructures, Freiburg, EU.

Di Fratta, G., Innerberger, M., Praetorius, D., Pfeiler, C.-M., & Ruggeri, M. (2020). Chiral magnetic skyrmions and computational micromagnetism. Universität Würzburg, Oberseminar des Lehrstuhls für Mathematik in den Naturwissenschaften, Würzburg, Germany.

Faustmann, M., Karkulik, M., Melenk, J. M., Parvizi, M., & Praetorius, D. (2020). The Fractional Laplacian - Adaptive FEM, Preconditioning and Local Errors. USM Seminar, Valparaiso (online), Chile.

Faustmann, M., Melenk, J. M., & Karkulik, M. (2020). Local convergence of the FEM for the integral fractional Laplacian. 4th Conference on Numerical Methods for Fractional-Derivative Problems, Peking (online), China.

Tsarev, S., Kytmanov, A., & Auzinger, W. (2020). Discrete orthogonal polynomials: anomalies of time series and boundary effects of polynomial filters. Workshop at Novosibirsk State University, Novosibirsk, Russian Federation (the).

Auzinger, W., Burkotova, J., Rachunkova, I., & Wenin, V. (2019). Numerical exploration of impulsive boundary value problems. Workshop on Numerical Solution of Integral and Differential Equations (NSIDE 2019), Gdansk, Poland.

Auzinger, W., Grosz, A., Hofstätter, H., & Koch, O. (2019). Efficient adaptive time integrators for high-dimensional Schrödinger equations. Workshop on Numerical Solution of Integral and Differential Equations (NSIDE 2019), Gdansk, Poland.

Auzinger, W., Hofstätter, H., & Koch, O. (2019). Precise local error control for symmetric one-step schemes applied to nonlinear evolution equations. SciCADE 2019, International Conference on Scientific Computation and Differential Equations, Innsbruck, Austria.

Auzinger, W., Hofstätter, H., Jawecki, T., Koch, O., Kropielnicka, K., & Singh, P. (2019). Adaptive exponential methods. SciCADE 2019, International Conference on Scientific Computation and Differential Equations, Innsbruck, Austria.

Auzinger, W., Hofstätter, H., Koch, O., Kropielnicka, K., & Singh, P. (2019). Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime. ParNum 2019, Dubrovnik, Croatia.

Auzinger, W., Jawecki, T., & Koch, O. (2019). Computable upper error bounds for Krylov subspace approximations to matrix exponentials. SciCADE 2019, International Conference on Scientific Computation and Differential Equations, Innsbruck, Austria.

Banjai, L., Melenk, J. M., & Schwab, C. (2019). hp-FEM for the spectral fractional Laplacian in polygons. oberwolfach conference on innovative discretization techniques, oberwolfach, Germany.

Bespalov, A., Praetorius, D., Rocchi, L., & Ruggeri, M. (2019). Convergence of adaptive stochastic Galerkin FEM for elliptic parametric PDEs. MAFELAP 2019 - The Mathematics of Finite Elements and Applications, Uxbridge, United Kingdom of Great Britain and Northern Ireland (the).

Faustmann, M. (2019). Wie das Dezimalsystem nach Europa kam. TUforMath, Wien, Austria.

Faustmann, M., Melenk, J. M., & Praetorius, D. (2019). OEMG jahrestagung. OEMG Jahrestagung 2019, Dornbirn, Austria.

Faustmann, M., Melenk, J. M., Parvizi, M., & Praetorius, D. (2019). Optimal adaptivity and preconditioning for the fractional Laplacian. 15th Austrian Numerical Analysis Day, Graz, Austria.

Faustmann, M., Melenk, J. M., Parvizi, M., & Praetorius, D. (2019). Optimal adaptivity and preconditioning for the fractional Laplacian. GAMM 2019, Wien, Austria.

Faustmann, M., Melenk, J. M., Parvizi, M., & Praetorius, D. (2019). Optimal adaptivity and preconditioning for the fractional Laplacian. WONAPDE 2019 - Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción, Chile.

Führer, T., Haberl, A., Praetorius, D., & Schimanko, S. (2019). Adaptive BEM with inexact PCG solver yields almost optimal computational costs. MAFELAP 2019 - The Mathematics of Finite Elements and Applications, Uxbridge, United Kingdom of Great Britain and Northern Ireland (the).

Führer, T., Praetorius, D., & Schimanko, S. (2019). Adaptive BEM with inexact PCG solver yields almost optimal computational costs. Universität Bayreuth, Bayreuth, Germany, Austria.

Gantner, G., & Praetorius, D. (2019). A posteriori error estimation and convergence of adaptive isogeometric methods. 7th International Conference on Isogeometric Analysis, München, Germany.

Gantner, G., Haberl, A., Praetorius, D., & Schimanko, S. (2019). Rate optimal adaptive FEM with inexact solver for nonlinear operators. WONAPDE 2019 - Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción, Chile.

Gantner, G., Haberlik, D., & Praetorius, D. (2019). Axioms of adaptivity revisited: Optimal adaptive IGAFEM. WONAPDE 2019 - Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción, Chile.

Gantner, G., Haberlik, D., & Praetorius, D. (2019). Optimal adaptivity for isogeometric finite and boundary element methods. Seminar on Numerical Analysis (Inria), Paris, France.

Gantner, G., Praetorius, D., & Schimanko, S. (2019). Rate optimal adaptive FEM with inexact solver for nonlinear operators. BI.discrete - Numerical Analysis in Bielefeld, Bielefeld, Germany.

Gutleb, T. S., Mauser, N., Ruggeri, M., & Stimming, H. P. (2019). Computational semi-relativistic quantum mechanics: the Pauli equation. CSRC seminar, Beijing, China.

Innerberger, M., & Praetorius, D. (2019). Instance-Optimal Goal-Oriented Adaptivity. RMMM 2019 - Reliable Methods of Mathematical Modeling, TU Wien, Austria.

Jawecki, T. (2019). Computable upper error bounds for Krylov subspace approximations to matrix exponentials. Numerical Analysis Group Internal Seminar, Oxford, United Kingdom of Great Britain and Northern Ireland (the).

Jawecki, T. (2019). Performance evaluation of the Magnus-Lanczos method. TU-D Workshop 2019, Langenlois, Austria.

Kurz, S., Pauly, D., Praetorius, D., Repin, S., & Sebastian, D. (2019). Functional a posteriori error estimates for boundary element methods. 17th workshop on Fast boundary element methods in industrial applications, Söllerhaus, Hirschegg, Austria.

Kurz, S., Pauly, D., Praetorius, D., Repin, S., & Sebastian, D. (2019). Functional a posteriori error estimates for boundary element methods. RMMM 2019 - Reliable Methods of Mathematical Modeling, TU Wien, Austria.

Melenk, J. M. (2019). AFEM for fractional Laplacian. MAFELAP 2019 - The Mathematics of Finite Elements and Applications, Uxbridge, United Kingdom of Great Britain and Northern Ireland (the).

Melenk, J. M. (2019). AFEM for fractional Laplacian. Nonlocal Operators, Edinburgh, United Kingdom of Great Britain and Northern Ireland (the).

Melenk, J. M. (2019). High order least squares for Helmholtz equation. WONAPEDE, Concepcion, Chile.

Melenk, J. M. (2019). hp-FEM for Maxwell’s equation. HOFEIM 2019, Pavia, Italy.

Melenk, J. M. (2019). hp-FEM for fractional Laplacian. GAMM 2019, Wien, Austria.

Melenk, J. M. (2019). hp-FEM for fractional diffusion. MAFELAP 2019 - The Mathematics of Finite Elements and Applications, Uxbridge, United Kingdom of Great Britain and Northern Ireland (the).

Pfeiler, C.-M., & Praetorius, D. (2019). Dörfler marking with minimal cardinality is a linear complexity problem. 15th Austrian Numerical Analysis Day, Graz, Austria.

Pfeiler, C.-M., & Praetorius, D. (2019). Dörfler marking with minimal cardinality is a linear complexity problem. DMV-Jahrestagung 2019, KIT Karlsruhe, Germany.

Pfeiler, C.-M., & Praetorius, D. (2019). Dörfler marking with minimal cardinality is a linear complexity problem. RMMM 2019 - Reliable Methods of Mathematical Modeling, TU Wien, Austria.

Pfeiler, C.-M., & Praetorius, D. (2019). Dörfler marking with minimal cardinality is a linear complexity problem. WONAPDE 2019 - Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción, Chile.

Pfeiler, C.-M., Ruggeri, M., Stiftner, B., Exl, L., Hochsteger, M., Hrkac, G., Schöberl, J., Mauser, N. J., & Praetorius, D. (2019). Computational studies of nonlinear skyrmion dynamics. HMM 2019 - 12th International Symposium on Hysteresis Modeling and Micromagnetics, Heraklion, Crete, Greece.

Praetorius, D., Ruggeri, M., & Stephan, E. P. (2019). The saturation assumption yields optimal convergence of two-level adaptive BEM. 17th workshop on Fast boundary element methods in industrial applications, Söllerhaus, Hirschegg, Austria.

Praetorius, D., Schimanko, S., & Gantner, G. (2019). Rate optimal adaptive FEM with inexact solver for nonlinear operators. ENUMATH 2019 - European Numerical Mathematics and Advanced Applications Conference 2019, Egmond aan Zee, Netherlands (the).

Ruggeri, M. (2019). Numerical analysis of the Landau-Lifshitz-Gilbert equation. Pattern and Topology in Micromagnetics, Heraklion, Crete, Greece.

Schimanko, S., Praetorius, D., Führer, T., & Haberl, A. (2019). Adaptive BEM with inexact PCG solver yields almost optimal computational costs. SIAM Conference on Computational Science and Engineering (CSE 2019), Spokane, Washington, United States of America (the).

Weinmüller, E. (2019). Analysis of the singular BVPs, linear problem with constant coefficient matrix. Vortrag an University of Philippines, Diliman, Manila, Philippines (the).

Weinmüller, E. (2019). Analysis of the singular BVPs, linear problem with variable coefficient matrix. Vortrag an University of Philippines, Diliman, Manila, Philippines (the).

Weinmüller, E. (2019). Collocation - an efficient tool for solving singular ODEs and DAEs. MNPS 2019, Moskau, Russian Federation (the).

Weinmüller, E. (2019). Error estimation, grid adaptation, Matlab code bvpsuite, applications. Vortrag an University of Philippines, Diliman, Manila, Philippines (the).

Weinmüller, E. (2019). Numerical Treatment of Implicit singular BVPs in ODEs. European Women in Mathematics, Leipzig, EU.

Weinmüller, E. (2019). Numerical approach by finite differences and collocatuion. Vortrag an University of Philippines, Diliman, Manila, Philippines (the).

Weinmüller, E. (2019). Self-similar, blow-up solutions of the generalized Korteweg-de Vries Equation near criticality. SIAM Conference on Applications of Dynamical Systems, Snowbird, Austria.

Weinmüller, E., Budd, Ch., Koch, O., & Rottschäfer, V. (2019). Blow-up in the generalized Korteweg-de Vries equation. 1st PUC-Bath Workshop on Nonlinear PDEs and Application, Santiago de Chile, Chile.

Weinmüller, E., Budd, Ch., Koch, O., & Rottschäfer, V. (2019). Things that go bang in the night: Short history of blow-up and how to compute it. Tutorial Workshop Geometry, Compatibility and Structure Preservation in computational differential equations, Isaak Newton Institute, Cambridge, United Kingdom of Great Britain and Northern Ireland (the).

Weinmüller, E., Burdeos, K., Fallahpour, M., & Mendoza, R. (2019). Path-following for parameter-dependent boundary value problems in singular ordinary differential equations. 8th SEAMS-UGM 2019, Yogyakarta, Indonesia.

Weinmüller, E., Burkotova, J., & Rachunkova, I. (2019). Collocation for solving BVPs with nonsmooth data. ICNAAM 2019, Rhodos, Greece.

Weinmüller, E., Burkotova, J., & Rachunkova, I. (2019). Convergence of collocation for singular BVPs with nonsmooth data. Workshop on Numerical Solution of Integral and Differential Equations (NSIDE 2019), Gdansk, Poland.