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Bringmann, P., Feischl, M., Miraci, A., Praetorius, D., & Streitberger, J. (2025). On full linear convergence and optimal complexity of adaptive FEM with inexact solver. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 180, 102–129. https://doi.org/10.1016/j.camwa.2024.12.013

Davoli, E., Gavioli, C., & Pagliari, V. (2025). Homogenization of high-contrast media in finite-strain elastoplasticity. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 81, Article 104198. https://doi.org/10.1016/j.nonrwa.2024.104198

Mielke, A., Rossi, R., & Stephan, A. (2025). On time-splitting methods for gradient flows with two dissipation mechanisms. Calculus of Variations and Partial Differential Equations, 64(2), Article 63. https://doi.org/10.1007/s00526-024-02849-8

Bernkopf, M., Chaumont-Frelet, T., & Melenk, J. M. (2025). Wavenumber-explicit stability and convergence analysis of ℎ𝑝 finite element discretizations of Helmholtz problems in piecewise smooth media. Mathematics of Computation, 94(351), 73–122. https://doi.org/10.1090/mcom/3958

Bužančić, M., Davoli, E., & Velčić, I. (2025). Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: The limiting regimes. Advances in Calculus of Variations, 17(4), 1399–1444. https://doi.org/10.1515/acv-2023-0020

Jüngel, A., & Li, Y. (2025). Existence of global weak solutions to a Cahn–Hilliard cross-diffusion system in lymphangiogenesis. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 45(1), 286–308. https://doi.org/10.3934/dcds.2024093

Karkulik, M., Melenk, J. M., & Rieder, A. (2025). On interpolation spaces of piecewise polynomials on mixed meshes. ESAIM: Mathematical Modelling and Numerical Analysis, 59(1), 231–264. https://doi.org/10.1051/m2an/2024069

Modiz, C., & Körner, A. (2025). Model-based conceptualization of thyroid hormone equilibrium via set point and stability behavior. Journal of Mathematical Biology, 90(1), Article 9. https://doi.org/10.1007/s00285-024-02176-8

Jüngel, A., & Vetter, M. (2024). Degenerate Drift-Diffusion Systems for Memristors. SIAM Journal on Mathematical Analysis, 56(6), 7780–7807. https://doi.org/10.1137/23M1620235

Edthofer, A., Ettel, D., Schneider, G., Körner, A., & Kreuzer, M. (2024). Entropy of difference works similarly to permutation entropy for the assessment of anesthesia and sleep EEG despite the lower computational effort. Journal of Clinical Monitoring and Computing. https://doi.org/10.1007/s10877-024-01258-8

Cancès, C., Cauvin-Vila, J., Chainais-Hillairet, C., & Ehrlacher, V. (2024). Cross-diffusion systems coupled via a moving interface. Interfaces and Free Boundaries. https://doi.org/10.4171/ifb/536

Bahr, B., Faustmann, M., & Melenk, J. M. (2024). An implementation of hp-FEM for the fractional Laplacian. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 176, 324–348. https://doi.org/10.1016/j.camwa.2024.10.005

Nannen, L., & Wess, M. (2024). A Krylov eigenvalue solver based on filtered time domain solutions. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 176, 179–188. https://doi.org/10.1016/j.camwa.2024.10.006

Davoli, E., Di Fratta, G., & Giorgio, R. (2024). A Bourgain–Brezis–Mironescu Formula Accounting for Nonlocal Antisymmetric Exchange Interactions. SIAM Journal on Mathematical Analysis, 56(6), 6995–7013. https://doi.org/10.1137/24M1632577

Davoli, E., Ferreira, R., Fonseca, I., & Iglesias, J. A. (2024). Dyadic partition-based training schemes for TV/TGV denoising. Journal of Mathematical Imaging and Vision, 66(6), 1070–1108. https://doi.org/10.1007/s10851-024-01213-x

Hollaus, K., Hanser, V., & Schöbinger, M. (2024). Effective Material and Static Magnetic Field for the 2-D/1-D-Problem of Laminated Electrical Machines. IEEE Transactions on Magnetics, 60(12), 1–4. https://doi.org/10.1109/TMAG.2024.3466289

Hu, J., Jüngel, A., & Zamponi, N. (2024). Global weak solutions for a nonlocal multispecies Fokker–Planck–Landau system. Kinetic and Related Models. https://doi.org/10.3934/krm.2024007

Melenk, J. M., & Sauter, S. A. (2024). Wavenumber-Explicit hp-FEM Analysis for Maxwell’s Equations with Impedance Boundary Conditions. Foundations of Computational Mathematics, 24(6), 1871–1939. https://doi.org/10.1007/s10208-023-09626-7

Bernkopf, M., & Melenk, J. M. (2024). Optimal convergence rates in L² for a first order system least squares finite element method - part II: Inhomogeneous Robin boundary conditions. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 173, 1–18. https://doi.org/10.1016/j.camwa.2024.07.035

Davoli, E., Gavioli, C., & Lombardini, L. (2024). Existence results for Cahn–Hilliard-type systems driven by nonlocal integrodifferential operators with singular kernels. Nonlinear Analysis, 248, Article 113623. https://doi.org/10.1016/j.na.2024.113623

De Gennaro, D., Diana, A., Kubin, A., & Kubin, A. (2024). Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus. Mathematische Annalen, 390(3), 4429–4461. https://doi.org/10.1007/s00208-024-02863-3

Georgiadis, S., & Jüngel, A. (2024). Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems. Nonlinearity, 37(7), Article 075016. https://doi.org/10.1088/1361-6544/ad4c49

Gopalakrishnan, J., Neunteufel, M., Schöberl, J., & Wardetzky, M. (2024). On the improved convergence of lifted distributional Gauss curvature from Regge elements. Results in Applied Mathematics, 24, Article 100511. https://doi.org/10.1016/j.rinam.2024.100511

Hohenegger, M., Settanni, G., Weinmüller, E., & Wolde, M. (2024). Numerical treatment of singular ODEs using finite difference and collocation methods. Applied Numerical Mathematics, 205, 184–194. https://doi.org/10.1016/j.apnum.2024.07.002

Bringmann, P. (2024). Review and computational comparison of adaptive least-squares finite element schemes. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 172, 1–15. https://doi.org/10.1016/j.camwa.2024.07.022

Kristiansen, K. U., & Szmolyan, P. (2024). A dynamical systems approach to WKB-methods: The simple turning point. Journal of Differential Equations, 406, 202–254. https://doi.org/10.1016/j.jde.2024.06.006

Davoli, E., Nik, K., Stefanelli, U., & Tomassetti, G. (2024). An existence result for accretive growth in elastic solids. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 34(11), 2169–2190. https://doi.org/10.1142/S0218202524500465

D’Elia, L., Eleuteri, M., & Zappale, E. (2024). Homogenization of supremal functionals in the vectorial case (via Lp-approximation). Analysis and Applications, 22(07), 1255–1302. https://doi.org/10.1142/S0219530524500179

Hanser, V., Schöbinger, M., & Hollaus, K. (2024). Effective material modeling for laminated iron cores with a T, ϕ - ϕ formulation. IEEE Transactions on Magnetics, 60(10), Article 7402307. https://doi.org/10.1109/TMAG.2024.3447126

Wess, M., Kapidani, B., Codecasa, L., & Schöberl, J. (2024). Mass lumping the dual cell method to arbitrary polynomial degree for acoustic and electromagnetic waves. Journal of Computational Physics, 513, Article 113196. https://doi.org/10.1016/j.jcp.2024.113196

Dareiotis, K., & Gerencsér, M. (2024). Path-by-path regularisation through multiplicative noise in rough, Young, and ordinary differential equations. Annals of Probability, 52(5), 1864–1902. https://doi.org/10.34726/8356

Davoli, E., Di Fratta, G., Fiorenza, A., & Happ, L. (2024). A modular Poincaré–Wirtinger inequality for Sobolev spaces with variable exponents. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 31(5), Article 81. https://doi.org/10.1007/s00030-024-00977-w

Jelbart, S. (2024). Rate and Bifurcation Induced Transitions in Asymptotically Slow-Fast Systems. SIAM Journal on Applied Dynamical Systems, 23(3), 1836–1869. https://doi.org/10.1137/24M1632000

Jüngel, A., & Wang, B. (2024). Structure-preserving semi-convex-splitting numerical scheme for a Cahn-Hilliard cross-diffusion system in lymphangiogenesis. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 34(10), 1905–1932. https://doi.org/10.1142/S0218202524500398

Arnold, A., & Körner, J. (2024). High-order WKB-based method for the 1D stationary Schrödinger equation in the semi-classical limit. In AIP Conference Proceedings (pp. 220002-1-220002–220004). AIP Publishing. https://doi.org/10.1063/5.0213306

Jüngel, A., & Massimini, A. (2024). Analysis of a Poisson–Nernst–Planck–Fermi system for charge transport in ion channels. Journal of Differential Equations, 395, 38–68. https://doi.org/10.1016/j.jde.2024.02.046

Bužančić, M., Davoli, E., & Velčić, I. (2024). Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure. Calculus of Variations and Partial Differential Equations, 63(4), Article 93. https://doi.org/10.1007/s00526-024-02693-w

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

Arnold, A., Geevers, S., Perugia, I., & Ponomarev, D. (2024). On the limiting amplitude principle for the wave equation with variable coefficients. Communications in Partial Differential Equations. https://doi.org/10.1080/03605302.2024.2341070

Davoli, E., Di Fratta, G., & Pagliari, V. (2024). Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. https://doi.org/10.1017/prm.2024.47

Davoli, E., D’Elia, L., & Ingmanns, J. (2024). Stochastic Homogenization of Micromagnetic Energies and Emergence of Magnetic Skyrmions. Journal of Nonlinear Science, 34(2), Article 30. https://doi.org/10.1007/s00332-023-10005-3

Fellner, M., & Jüngel, A. (2024). Existence analysis of a cross-diffusion system with nonlinear Robin boundary conditions for vesicle transport in neurites. Nonlinear Analysis, 241, Article 113494. https://doi.org/10.1016/j.na.2024.113494

Gambi, J. M., Phipps, C., Garcia del Pino, M. L., Mosser, J., Weinmüller, E., & Alderete, M. (2024). Deflection of dangerous middle-size LEO debris with autonomous space-based laser brooms via surgical actions. Acta Astronautica, 217, 75–88. https://doi.org/10.1016/j.actaastro.2024.01.021

Ricco, S., & Torricelli, A. (2024). A necessary condition for extremality of solutions to autonomous obstacle problems with general growth. Nonlinear Analysis: Real World Applications, 76, Article 104005. https://doi.org/10.1016/j.nonrwa.2023.104005

Kubin, A., Lussardi, L., & Morandotti, M. (2024). Direct Minimization of the Canham–Helfrich Energy on Generalized Gauss Graphs. Journal of Geometric Analysis, 34, Article 121. https://doi.org/10.1007/s12220-024-01564-2

Bringmann, P., Ketteler, J., & Schedensack, M. (2024). Discrete Helmholtz Decompositions of Piecewise Constant and Piecewise Affine Vector and Tensor Fields. Foundations of Computational Mathematics. https://doi.org/10.1007/s10208-024-09642-1

Chen, X., Jüngel, A., Lin, X., & Liu, L. (2024). Large-time asymptotics for degenerate cross-diffusion population models with volume filling. Journal of Differential Equations, 386, 1–15. https://doi.org/10.1016/j.jde.2023.12.017

Fellner, M., & Jüngel, A. (2024). A coupled stochastic differential reaction–diffusion system for angiogenesis. Journal of Computational and Applied Mathematics, 438, Article 115570. https://doi.org/10.1016/j.cam.2023.115570

Gerencsér, M., & Singh, H. (2024). Strong convergence of parabolic rate 1 of discretisations of stochastic Allen-Cahn-type equations. Transactions of the American Mathematical Society, 377(3), 1851–1881. https://doi.org/10.1090/tran/9029

Ma, C., & Melenk, J. M. (2024). Exponential Convergence of a Generalized FEM for Heterogeneous Reaction-Diffusion Equations. MULTISCALE MODELING & SIMULATION, 22(1), 256–282. https://doi.org/10.1137/22M1522231

O’Donovan, M., Farrell, P., Moatti, J., Streckenbach, T., Koprucki, T., & Schulz, S. (2024). Impact of random alloy fluctuations on the carrier distribution in multicolor (In,Ga)N/GaN quantum well systems. Physical Review Applied, 21(2), Article 024052. https://doi.org/10.1103/PhysRevApplied.21.024052

Thibault-Greugny, E., Fages, F., Radulescu, O., Szmolyan, P., & Stamatas, G. N. (2024). A skin microbiome model with AMP interactions and analysis of quasi-stability vs stability in population dynamics. Theoretical Computer Science, 983, Article 114294. https://doi.org/10.1016/j.tcs.2023.114294

Achleitner, F., Arnold, A., Mehrmann, V., & Nigsch, E. (2024). Hypocoercivity in Hilbert spaces. Journal of Functional Analysis, 228(2), Article 110691. https://doi.org/10.1016/j.jfa.2024.110691

Arnold, A., & Toshpulatov, G. (2024). Exponential stability and hypoelliptic regularization for the kinetic Fokker-Planck equation with confining potential. Journal of Statistical Physics, 191, Article 51. https://doi.org/10.1007/s10955-024-03263-2

Bringmann, P., Brunner, M., Praetorius, D., & Streitberger, J. (2024). Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs. Journal of Numerical Mathematics. https://doi.org/10.1515/jnma-2023-0150

Bringmann, P., Carstensen, C., & Streitberger, J. (2024). Local parameter selection in the C⁰ interior penalty method for the biharmonic equation. Journal of Numerical Mathematics, 32(3), 257–273. https://doi.org/10.1515/jnma-2023-0028

Bringmann, P., Miraçi, A., & Praetorius, D. (2024). Chapter Four - Iterative solvers in adaptive FEM: Adaptivity yields quasi-optimal computational runtime. ADVANCES IN APPLIED MECHANICS, 59, 147–212. https://doi.org/10.1016/bs.aams.2024.08.002

Brugnano, L., Iavernaro, F., & Weinmüller, E. (2024). Weighted least squares collocation methods. Applied Numerical Mathematics, 203, 113–128. https://doi.org/10.1016/j.apnum.2024.05.017

Davoli, E., Gavioli, C., & Pagliari, V. (2024). A homogenization result in finite plasticity. Calculus of Variations and Partial Differential Equations, 63(3), Article 72. https://doi.org/10.1007/s00526-024-02673-0

Davoli, E., Kružík, M., & Pagliari, V. (2024). Homogenization of high-contrast composites under differential constraints. Advances in Calculus of Variations, 17(2), 277–318. https://doi.org/10.1515/acv-2022-0009

Djurdjevac, A., Kremp, H., & Perkowski, N. (2024). Weak error analysis for a nonlinear SPDE approximation of the Dean–Kawasaki equation. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS. https://doi.org/10.1007/s40072-024-00324-1

Doppler, S., Lederer, P. L., Schöberl, J., & von Wahl, H. (2024). A discontinuous Galerkin approach for atmospheric flows with implicit condensation. Journal of Computational Physics, 499, Article 112713. https://doi.org/10.1016/j.jcp.2023.112713

Eckhardt, J., & Kostenko, O. (2024). Trace formulas and inverse spectral theory for generalized indefinite strings. Inventiones Mathematicae. https://doi.org/10.1007/s00222-024-01287-9

Faustmann, M., & Rieder, A. (2024). FEM-BEM coupling in fractional diffusion. IMA Journal of Numerical Analysis, Article drae026. https://doi.org/10.1093/imanum/drae026

Feischl, M., & Hackl, H. (2024). Adaptive image compression via optimal mesh refinement. Computational Methods in Applied Mathematics, 24(2), 325–343. https://doi.org/10.1515/cmam-2023-0097

Fellner, A., Wenger, C., Heshmat, A., & Rattay, F. (2024). Auditory nerve fiber excitability for alternative electrode placement in the obstructed human cochlea: electrode insertion in scala vestibuli versus scala tympani. Journal of Neural Engineering, 21(4), Article 046034. https://doi.org/10.1088/1741-2552/ad6597

Gawlik, E., & Neunteufel, M. (2024). Finite element approximation of scalar curvature in arbitrary dimension. Mathematics of Computation. https://doi.org/10.1090/mcom/4038

Hanser, V., Schöbinger, M., & Hollaus, K. (2024). A T, Φ−Φ Multiscale Finite Element Formulation for Eddy Current Problems in Open Magnetic Circuits. In Proceedings 2024 IEEE 21st Biennial Conference on Electromagnetic Field Computation (CEFC). IEEE 21st Biennial Conference on Electromagnetic Field Computation (CEFC 2024), Jeju, Korea (the Republic of). https://doi.org/10.1109/CEFC61729.2024.10585740

Hollaus, K., Hanser, V., & Schöbinger, M. (2024). Effective Material and Static Magnetic Field for the 2D/1D-Problem of Laminated Electrical Machines. In Proceedings 2024 IEEE 21st Biennial Conference on Electromagnetic Field Computation (CEFC). IEEE 21st Biennial Conference on Electromagnetic Field Computation (CEFC 2024), Jeju, Korea (the Republic of). https://doi.org/10.1109/CEFC61729.2024.10586159

Hollaus, K., Schöbinger, M., & Türk, C. (2024). Modeling of a Winding by Segmentation and a Two Domain Method. In Proceedings 2024 IEEE 21st Biennial Conference on Electromagnetic Field Computation (CEFC). IEEE 21st Biennial Conference on Electromagnetic Field Computation (CEFC 2024), Jeju, Korea (the Republic of). https://doi.org/10.1109/CEFC61729.2024.10585917

Horvath, C., Körner, A., & Modiz, C. (2024). Data-Based Model Identification of the Hypothalamus-Pituitary-Thyroid Complex. In M. Mujica Mota & P. Scala (Eds.), Simulation for a Sustainable Future. EUROSIM 2023. Communications in Computer and Information Science (pp. 119–133). https://doi.org/10.1007/978-3-031-68435-7_9

Huo, X., & Jüngel, A. (2024). Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier-Stokes Equations Modeling Vascular Network Formation. Journal of Mathematical Fluid Mechanics, 26(1), Article 11. https://doi.org/10.1007/s00021-023-00840-5

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

Jüngel, A., Portisch, S., & Zurek, A. (2024). A convergent finite-volume scheme for nonlocal cross-diffusion systems for multi-species populations. ESAIM: Mathematical Modelling and Numerical Analysis, 58(2), 759–792. https://doi.org/10.1051/m2an/2024016

Langer, M., & Woracek, H. (2024). Karamata’s theorem for regularized Cauchy transforms. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1–61. https://doi.org/10.1017/prm.2023.128

Lemaire, S., & Moatti, J. (2024). Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches. Mathematics in Engineering, 6(1), 100–136. https://doi.org/10.3934/mine.2024005

Melenk, J. M., & Rojik, C. (2024). A note on the shift theorem for the Laplacian in polygonal domains. Applications of Mathematics, 69(5), 653–693. https://doi.org/10.21136/AM.2024.0049-24

Neunteufel, M., & Schöberl, J. (2024). The Hellan–Herrmann–Johnson and TDNNS methods for linear and nonlinear shells. COMPUTERS & STRUCTURES, 305, Article 107543. https://doi.org/10.1016/j.compstruc.2024.107543

Nigsch, E., & Ortner, N. (2024). Quasinormable Fréchet spaces and M. W. Wong’s inequality. Journal of Pseudo-Differential Operators and Applications, 15(2), Article 40. https://doi.org/10.1007/s11868-024-00606-1

Schöbinger, M., & Hollaus, K. (2024). Effective Interface Condition for Electromagnetic Shielding Using the T-Φ-Formulation in 3D. In Proceedings 2024 IEEE 21st Biennial Conference on Electromagnetic Field Computation (CEFC). IEEE 21st Biennial Conference on Electromagnetic Field Computation (CEFC 2024), Jeju, Korea (the Republic of). https://doi.org/10.1109/CEFC61729.2024.10586151

Simonov, S., & Woracek, H. (2024). Local spectral multiplicity of selfadjoint couplings with general interface conditions. Integral Equations and Operator Theory, 96(2), Article 18. https://doi.org/10.1007/s00020-024-02767-6

Sky, A., Neunteufel, M., Lewintan, P., Zilian, A., & Neff, P. (2024). Novel H (sym Curl)-conforming finite elements for the relaxed micromorphic sequence. Computer Methods in Applied Mechanics and Engineering, 418, Article 116494. https://doi.org/10.1016/j.cma.2023.116494

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

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

Pircher, C., Bachler, M., Ahlström, C., Mayer, C. C., & Hametner, B. (2023). Fit for Duty Assessment of Driver Fatigue based on Statistical Modelling of Cardiovascular Parameters. Simulation Notes Europe, 33(4), 157–166. https://doi.org/10.11128/sne.33.tn.10663

Lederer, P. L., Mooslechner, X., & Schöberl, J. (2023). High-order projection-based upwind method for implicit large eddy simulation. Journal of Computational Physics, 493, Article 112492. https://doi.org/10.1016/j.jcp.2023.112492

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

Sky, A., Neunteufel, M., Hale, J. S., & Zilian, A. (2023). A Reissner–Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations. Computer Methods in Applied Mechanics and Engineering, 416, Article 116291. https://doi.org/10.34726/5288

Achleitner, F., Arnold, A., & Carlen, E. (2023). The hypocoercivity index for the short time behavior of linear time-invariant ODE systems. Journal of Differential Equations, 371, 83–115. https://doi.org/10.1016/j.jde.2023.06.027

Helmer, C., & Jüngel, A. (2023). Existence analysis for a reaction-diffusion Cahn–Hilliard-type system with degenerate mobility and singular potential modeling biofilm growth. Discrete and Continuous Dynamical Systems - Series A, 43(10), 3839–3861. https://doi.org/10.3934/dcds.2023069

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

Iuorio, A., Jankowiak, G., Szmolyan, P., & Wolfram, M.-T. (2023). Canards in a bottleneck. PHYSICA D-NONLINEAR PHENOMENA, 451, Article 133768. https://doi.org/10.1016/j.physd.2023.133768

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Franka, M., Edthofer, A., Körner, A., Widmann, S., Fenzl, T., Schneider, G., & Kreuzer, M. (2023). An in-depth analysis of parameter settings and probability distributions of specific ordinal patterns in the Shannon permutation entropy during different states of consciousness in humans. Journal of Clinical Monitoring and Computing. https://doi.org/10.1007/s10877-023-01051-z

Letz, T., Hörandtner, C., Braunisch, M. C., Gundel, P., Matschkal, J., Bachler, M., Lorenz, G., Körner, A., Schaller, C., Lattermann, M., Holzinger, A., Heemann, U., Wassertheurer, S., Schmaderer, C., & Mayer, C. C. (2023). Automatic ECG-based detection of left ventricular hypertrophy and its predictive value in haemodialysis patients. Physiological Measurement, 44(7), Article 075002. https://doi.org/10.1088/1361-6579/acdfb3

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Achleitner, F., Arnold, A., & Mehrmann, V. (2023). Hypocoercivity and controllability in linear semi-dissipative Hamiltonian ordinary differential equations and differential-algebraic equations. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 103(7), Article e202100171. https://doi.org/10.1002/zamm.202100171

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Arnold, A., Klein, C., & Ujvari, B. (2022). WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment. BIT Numerical Mathematics, 62(1), 1–22. https://doi.org/10.1007/s10543-021-00868-x

Arnold, A., Schmeiser, C., & Signorello, B. (2022). Propagator norm and sharp decay estimates for Fokker-Planck equations with linear drift. Communications in Mathematical Sciences, 20(4), 1047–1080. https://doi.org/10.4310/cms.2022.v20.n4.a5

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

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

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

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

Bellingeri, C., Friz, P. K., & Gerencsér, M. (2022). Singular paths spaces and applications. Stochastic Analysis and Applications, 40(6), 1126–1149. https://doi.org/10.1080/07362994.2021.1988641

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

Chen, L., Holzinger, A., Jüngel, A., & Zamponi, N. (2022). Analysis and mean-field derivation of a porous-medium equation with fractional diffusion. Communications in Partial Differential Equations, 47(11), 2217–2269. https://doi.org/10.1080/03605302.2022.2118608

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

Davoli, E., Kružík, M., & Pelech, P. (2022). Separately global solutions to rate-independent processes in large-strain inelasticity. Nonlinear Analysis, 215(112668), 112668. https://doi.org/10.1016/j.na.2021.112668

Detmann, B., Gavioli, C., Krejčí, P., Lamač, J., & Namlyeyeva, Y. (2022). A model for lime consolidation of porous solids. Nonlinear Analysis: Real World Applications, 65(103483), 103483. https://doi.org/10.1016/j.nonrwa.2021.103483

Dow, D., Gopalakrishnan, J., Schöberl, J., & Wintersteiger, C. (2022). Convergence analysis of some tent-based schemes for linear hyperbolic systems. Mathematics of Computation, 91(334), 699–733. https://doi.org/10.1090/mcom/3686

Fellner, A., Heshmat, A., Werginz, P., & Rattay, F. (2022). A finite element method framework to model extracellular neural stimulation. Journal of Neural Engineering, 19(2), 022001. https://doi.org/10.1088/1741-2552/ac6060

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

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

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

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

Hanser, V., Schobinger, M., & Hollaus, K. (2022). Efficient Computation of Eddy Current Losses in Laminated Cores with Air Gaps by the Multiscale FEM. In 2022 23rd International Conference on the Computation of Electromagnetic Fields (COMPUMAG) : a selection of extended papers022 23rd International Conference on the Computation of Electromagnetic Fields (COMPUMAG). 2022 23rd International Conference on the Computation of Electromagnetic Fields (COMPUMAG), Cancun, Mexico. IEEE. https://doi.org/10.1109/COMPUMAG55718.2022.9827497

Hanser, V., Schobinger, M., & Hollaus, K. (2022). Multiscale Finite Element Formulations for the Eddy Current Problem in Open Magnetic Circuits. In S. BARMADA, Elsherbeni Atef, & Aaen Peter (Eds.), Proceedings 2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC) (pp. 1–2). IEEE. https://doi.org/10.1109/CEFC55061.2022.9940851

Hofstätter, H., & Koch, O. (2022). An approximate eigensolver for self-consistent field calculations. Numerical Algorithms, 66, 609–641. https://doi.org/10.1007/s11075-013-9751-6

Hollaus, K., & Schobinger, M. (2022). Multiscale Finite Element Formulations for 2D/1D Problems. In S. BARMADA, Elsherbeni Atef, & Aaen Peter (Eds.), Proceedings 2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC) (pp. 1–2). IEEE. https://doi.org/10.1109/CEFC55061.2022.9940831

Hollaus, K., & Schobinger, M. (2022). Nonlinear Eddy Currents in Laminations, Multiscale Finite Element Method, Harmonic Balance Method and Model Order Reduction. In S. BARMADA, Elsherbeni Atef, & Aaen Peter (Eds.), Proceedings 2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC) (pp. 1–2). IEEE. https://doi.org/10.1109/CEFC55061.2022.9940707

Hollaus, K., & Schöberl, J. (2022). A Higher Order Multi-Scale FEM With A for 2-D Eddy Current Problems in Laminated Iron. IEEE Transactions on Magnetics, 51(3), Article 7093479. https://doi.org/10.1109/TMAG.2014.2360075

Jüngel, A., & Zamponi, N. (2022). Analysis of a fractional cross-diffusion system for multi-species populations. Journal of Differential Equations, 322, 237–267. https://doi.org/10.1016/j.jde.2022.03.028

Jüngel, A., Stefanelli, U., & Trussardi, L. (2022). A minimizing-movements approach to GENERIC systems. Mathematics in Engineering, 4(1), 1–18. https://doi.org/10.3934/mine.2022005

Kogler, L., & Schöberl, J. (2022). An algebraic multigrid method for elasticity based on an auxiliary topology with edge matrices. Numerical Linear Algebra with Applications, 29(1), Article e2408. https://doi.org/10.1002/nla.2408

Körner, J., Arnold, A., & Döpfner, K. (2022). WKB-based scheme with adaptive step size control for the Schr ̈odinger equation in the highly oscillatory regime. Journal of Computational and Applied Mathematics, 404(113905), 113905. https://doi.org/10.1016/j.cam.2021.113905

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

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

Pagliari, V., Papafitsoros, K., Raită, B., & Vikelis, A. (2022). Bilevel Training Schemes in Imaging for Total Variation ‒ Type Functionals with Convex Integrands. SIAM Journal on Imaging Sciences, 15(4), 1690–1728. https://doi.org/10.1137/21M1467328

Ponomarev, D. (2022). A Note on the Appearance of the Simplest Antilinear ODE in Several Physical Contexts. AppliedMath, 2(3), 433–445. https://doi.org/10.3390/appliedmath2030024

Popper, N., Bicher, M., Breitenecker, F., Glock, B., Hafner, I., Mujica Mota, M., Mušic, G., Rippinger, C., Rössler, M., Schneckenreither, G., Urach, C., Wastian, M., Zauner, G., & Zechmeister, M. (2022). Methods for Integrated Simulation - 10 Concepts to Integrate. Simulation Notes Europe, 32(4), 225–236. https://doi.org/10.11128/sne.32.on.10627

Pruckner, R., & Woracek, H. (2022). A growth estimate for the monodromy matrix of a canonical system. Journal of Spectral Theory, 12(4), 1623–1657. https://doi.org/10.4171/JST/437

Rattay, F., & Tanzer, T. (2022). A simple model considering spiking probability during extracellular axon stimulation. PLOS ONE, 17(4), e0264735. https://doi.org/10.1371/journal.pone.0264735

Rattay, F., & Tanzer, T. (2022). Impact of electrode position on the dynamic range of a human auditory nerve fiber. Journal of Neural Engineering, 19(1), 016025. https://doi.org/10.1088/1741-2552/ac50bf

Schobinger, M., Tarek, M. T. B., Sozer, Y., Tsukerman, I., & Hollaus, K. (2022). Magnetic Microwire Materials Route Magnetic Flux in Screens and Cores of Electrical Machines. In Proceedings 2022 23rd International Conference on the Computation of Electromagnetic Fields (COMPUMAG) (pp. 1–4). IEEE. https://doi.org/10.1109/COMPUMAG55718.2022.9827508

Winkler, S., Körner, A., & Breitenecker, F. (2021). Modelling framework for artificial hybrid dynamical systems. Nonlinear Analysis: Hybrid Systems, 42, Article 101072. https://doi.org/10.1016/j.nahs.2021.101072

Neunteufel, M., Pechstein, A. S., & Schöberl, J. (2021). Three-field mixed finite element methods for nonlinear elasticity. Computer Methods in Applied Mechanics and Engineering, 382, Article 113857. https://doi.org/10.1016/j.cma.2021.113857

Sky, A., Neunteufel, M., Münch, I., Schöberl, J., & Neff, P. (2021). A hybrid H¹ x H(curl) finite element formulation for a relaxed micromorphic continuum model of antiplane shear. Computational Mechanics, 68, 1–24. https://doi.org/10.1007/s00466-021-02002-8

Leumüller, M., Auinger, B., Schöberl, J., & Hollaus, K. (2021). Enhanced Technique for Metascreens Using the Generalized Finite Element Method. IEEE Transactions on Magnetics, 57(6), Article 7401704. https://doi.org/10.1109/tmag.2021.3065118

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

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

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

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

Melching, D., Neunteufel, M., Schöberl, J., & Stefanelli, U. (2021). A finite-strain model for incomplete damage in elastoplastic materials. Computer Methods in Applied Mechanics and Engineering, 374, Article 113571. https://doi.org/10.1016/j.cma.2020.113571

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

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

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

Arnold, A., Einav, A., Signorello, B., & Wöhrer, T. (2021). Large-time convergence of the non-homogeneous Goldstein-Taylor equation. Journal of Statistical Physics, 182, Article 41. https://doi.org/10.1007/s10955-021-02702-8

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

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

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

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

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

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

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

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

Braukhoff, M., & Jüngel, A. (2021). Entropy-dissipating finite-difference schemes for nonlinear fourth-order parabolic equations. AIMS Mathematics, 26, 3335–3355. https://doi.org/10.3934/dcdsb.2020234

Bresciani, M. (2021). Linearized von Karman theory for incompressible magnetoelastic plates. Mathematical Models and Methods in Applied Sciences, 31(10), 1987–2037. https://doi.org/10.1142/s0218202521500445

Butkovsky, O., Dareiotis, K., & Gerencsér, M. (2021). Approximation of SDEs: a stochastic sewing approach. Probability Theory and Related Fields, 181(4), 975–1034. https://doi.org/10.1007/s00440-021-01080-2

Cesaroni, A., & Pagliari, V. (2021). Convergence of nonlocal geometric flows to anisotropic mean curvature motion. Discrete and Continuous Dynamical Systems - Series A, 41(10), 4987. https://doi.org/10.3934/dcds.2021065

Chen, L., Daus, E. S., Holzinger, A., & Jüngel, A. (2021). Rigorous Derivation of Population Cross-Diffusion Systems from Moderately Interacting Particle Systems. Journal of Nonlinear Science, 31(94). https://doi.org/10.1007/s00332-021-09747-9

Chen, X., & Jüngel, A. (2021). When do cross-diffusion systems have an entropy structure? Journal of Differential Equations, 278, 60–72. https://doi.org/10.1016/j.jde.2020.12.037

Christiansen, J. S., Eichinger, B., & VandenBoom, T. (2021). Finite-Gap CMV Matrices: Periodic Coordinates and a Magic Formula. International Mathematics Research Notices, 2021(18), 14016–14085. https://doi.org/10.1093/imrn/rnz213

Damanik, D., Eichinger, B., & Yuditskii, P. (2021). Szegö’s theorem for canonical systems: the Arov gauge and a sum rule. Journal of Spectral Theory, 11(3), 1255–1277. https://doi.org/10.4171/jst/371

Danczul, T., & Schöberl, J. (2021). A reduced basis method for fractional diffusion operators II. Journal of Numerical Mathematics, 29(4), 269–287. https://doi.org/10.1515/jnma-2020-0042

Dareiotis, K., Gerencsér, M., & Gess, B. (2021). Porous media equations with multiplicative space-time white noise. Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, 57(4). https://doi.org/10.1214/20-aihp1139

Daus, E. S., Jüngel, A., & Zurek, A. (2021). Convergence of a finite-volume scheme for a degenerate-singular cross-diffusion system for biofilms. IMA Journal of Numerical Analysis, 41(2), 935–973. https://doi.org/10.1093/imanum/draa040

Davoli, E., Ferreira, R., & Kreisbeck, C. (2021). Homogenization in BV of a model for layered composites in finite crystal plasticity. Advances in Calculus of Variations, 14(3), 441–473. https://doi.org/10.1515/acv-2019-0011

Davoli, E., Kružík, M., Piovano, P., & Stefanelli, U. (2021). Magnetoelastic thin films at large strains. Continuum Mechanics and Thermodynamics, 33(2), 327–341. https://doi.org/10.1007/s00161-020-00904-1

Davoli, E., Molchanova, A., & Stefanelli, U. (2021). Equilibria of charged hyperelastic solids. SIAM Journal on Mathematical Analysis, 54(2), 1470–1487. https://doi.org/10.1137/21m1413286

Davoli, E., Roubček, T., & Stefanelli, U. (2021). A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains. Mathematics and Mechanics of Solids, 26(10), 1483–1497. https://doi.org/10.1177/1081286521990418

Davoli, E., Scarpa, L., & Trussardi, L. (2021). Local asymptotics for nonlocal convective Cahn-Hilliard equations with W^{1,1} kernel and singular potential. Journal of Differential Equations, 289, 35–58. https://doi.org/10.1016/j.jde.2021.04.016

Davoli, E., Scarpa, L., & Trussardi, L. (2021). Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms. Archive for Rational Mechanics and Analysis, 239(1), 117–149. https://doi.org/10.1007/s00205-020-01573-9

Dhariwal, G., Huber, F., Jüngel, A., Kuehn, C., & Neamţu, A. (2021). Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method. Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, 57(1). https://doi.org/10.1214/20-aihp1088

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

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

Eichinger, B., & Yuditskii, P. (2021). Pointwise Remez inequality. Constructive Approximation, 54(3), 529–554. https://doi.org/10.1007/s00365-021-09562-1

Emrich, S., & Popper, N. (2021). How an Agent-Based Population Model Became a Key-Element of the Austrian Effort Against COVID-19. ERCIM News, 124, 32–33.

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

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

Favre, G., Jüngel, A., Schmeiser, C., & Zamponi, N. (2021). Existence analysis of a degenerate diffusion system for heat-conducting gases. Nonlinear Differential Equations and Applications, 28(41). https://doi.org/10.1007/s00030-021-00700-z

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

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

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

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

Hafner, I., & Popper, N. (2021). An Overview of the State of the Art in Co-Simulation and Related Methods. SNE Simulation Notes Europe, 31(4), 185–200. https://doi.org/10.11128/sne.31.on.10582

Hafner, I., & Popper, N. (2021). Investigation on Stability Properties of Hierarchical Co-Simulation. SNE Simulation Notes Europe, 31(1), 17–24. https://doi.org/10.11128/sne.31.tn.10553

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

Heitzinger, C., & Morales Escalant, J. A. (2021). Homogenization of Boundary Layers in the Boltzmann--Poisson System. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 19(1), 506–532. https://doi.org/10.1137/18m1193888

Helmer, C., & Jüngel, A. (2021). Analysis of Maxwell-Stefan systems for heat conducting fluid mixtures. Nonlinear Analysis: Real World Applications, 59(103263), 103263. https://doi.org/10.1016/j.nonrwa.2020.103263

Heshmat, A., Sajedi, S., Schrott-Fischer, A., & Rattay, F. (2021). Polarity Sensitivity of Human Auditory Nerve Fibers Based on Shape and Cochlear Implant Stimulation Strategy and Array. Frontiers in Neuroscience, 15. https://doi.org/10.3389/fnins.2021.751599

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

Jain, P., Molchanova, A., Singh, M., & Vodopyanov, S. (2021). On grand Sobolev spaces and pointwise description of Banach function spaces. Nonlinear Analysis: Theory, Methods and Applications, 202(112100), 112100. https://doi.org/10.1016/j.na.2020.112100

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

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Jüngel, A., & Zurek, A. (2021). A convergent structure-preserving finite-volume scheme for the Shigesada-Kawasaki-Teramoto population system. SIAM Journal on Mathematical Analysis, 59(4), 2286–2309. https://doi.org/10.1137/20m1381058

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Stadlbauer, B., Mitscha-Baude, G., & Heitzinger, C. (2020). Modeling single-molecule stochastic transport for {DNA} exo-sequencing in nanopore sensors. Nanotechnology, 31(7), 075502. https://doi.org/10.1088/1361-6528/ab513e

Stadlbauer, B., Mitscha-Eibl, G., & Heitzinger, C. (2020). Modeling single-molecule stochastic transport in nanopore sensors. Nanotechnology, 31(7), 075502. https://doi.org/10.1088/1361-6528/ab513e

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Taghizadeh, L., Karimi, A., & Heitzinger, C. (2020). Uncertainty quantification in epidemiological models for the COVID-19 pandemic. Computers in Biology and Medicine, 125(104011), 104011. https://doi.org/10.1016/j.compbiomed.2020.104011

Taghizadeh, L., Karimi, A., Presterl, E., & Heitzinger, C. (2020). Bayesian inversion for a biofilm model including quorum sensing. Computers in Biology and Medicine, 117, Article 103582. https://doi.org/10.1016/j.compbiomed.2019.103582

Taghizadeh, L., Karimi, A., Stadlbauer, B., Weninger, W. J., Kaniusas, E., & Heitzinger, C. (2020). Bayesian inversion for electrical-impedance tomography in medical imaging using the nonlinear Poisson-Boltzmann equation. Computer Methods in Applied Mechanics and Engineering, 365(112959), 112959. https://doi.org/10.1016/j.cma.2020.112959

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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

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Blankrot, B., & Heitzinger, C. (2019). Design of aperiodic demultiplexers and optical diodes by optimizing photonic crystals. OSA Continuum, 2(7), 2244. https://doi.org/10.1364/osac.2.002244

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Cornel, D., Buttinger-Kreuzhuber, A., Konev, A., Horváth, Z., Wimmer, M., Heidrich, R., & Waser, J. (2019). Interactive Visualization of Flood and Heavy Rain Simulations. In Computer Graphics Forum (pp. 25–39). Computer Graphics Forum.

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Dehghan, M., Abbaszadeh, M., Khodadadian, A., & Heitzinger, C. (2019). Galerkin proper orthogonal decomposition reduced order method (POD-ROM) for solving the generalized Swif}-Hohenberg equation. International Journal of Numerical Methods for Heat and Fluid Flow, 29(8), 2642–2665. https://doi.org/10.1108/hff-11-2018-0647

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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

Dlotko, P., Kapidani, B., Pitassi, S., & Specogna, R. (2019). Fake Conductivity or Cohomology: Which to Use When Solving Eddy Current Problems With h -Formulations? IEEE Transactions on Magnetics, 55(6), 1–4. https://doi.org/10.1109/tmag.2019.2906099

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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

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

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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

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

Gerstenmayer, A., & Jüngel, A. (2019). Comparison of a finite-element and finite-volume scheme for a degenerate cross-diffusion system for ion transport. Journal of Computational and Applied Mathematics, 35, Article 108. https://doi.org/10.1007/s40314-019-0882-9

Gopalakrishnan, J., Lederer, P. L., & Schöberl, J. (2019). A mass conserving mixed stress formulation for the Stokes equations. IMA Journal of Numerical Analysis, 40(3), 1838–1874. https://doi.org/10.1093/imanum/drz022

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Hametner, B., Bauer, A., & Wassertheurer, S. (2019). Unveiling the Vascular Mechanisms Behind Long‐Term Effects of Coarctation Treatment Using Pulse Wave Dynamics. Journal of the American Heart Association Cardiovascular and Cerebrovascular Disease, 8(7). https://doi.org/10.1161/jaha.119.012278

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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

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Kapidani, B., Codecasa, L., & Specogna, R. (2019). The Time-Domain Cell Method Is a Coupling of Two Explicit Discontinuous Galerkin Schemes With Continuous Fluxes. IEEE Transactions on Magnetics, 56(1), 1–4. https://doi.org/10.1109/tmag.2019.2952015

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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

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, Article 108866. https://doi.org/10.1016/j.jcp.2019.108866

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Lenzi, E. K., Evangelista, L. R., Taghizadeh, L., Pasterk, D., Zola, R. S., Sandev, T., Heitzinger, C., & Petreska, I. (2019). The reliability of Poisson-Nernst-Planck anomalous models for impedance spectroscopy. Communications in Mathematical Sciences, 123(37), 7885–7892. https://doi.org/10.1021/acs.jpcb.9b06263

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Mirsian, S., Khodadadian, A., Hedayati, M., Manzour-ol-Ajdad, A., Kalantarinejad, R., & Heitzinger, C. (2019). A new method for selective functionalization of silicon nanowire sensors and Bayesian inversion for its parameters. Biosensors and Bioelectronics, 142(111527), 111527. https://doi.org/10.1016/j.bios.2019.111527

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