2024

Below we have also listed the Preprints from past years.
Authors Title Link
A. Arnold, G. Toshpulatov Trend to equilibrium and hypoelliptic regularity for the relativistic Fokker-Planck equation [arXiv:2406.15139, opens an external URL in a new window]
L. Chen, A. Holzinger, A. Jüngel Fluctuations around the mean-field limit for attractive Riesz potentials in the moderate regime [arXiv:2405.15128, opens an external URL in a new window]
K. Schuh, P. A. Whalley Convergence of kinetic Langevin samplers for non-convex potentials [arXiv:2405.09992, opens an external URL in a new window]
M. Melenk, D. Woergoetter Wavenumber-explicit regularity theory for the time-harmonic Maxwell equations in piecewise smooth media [OWR 20.3, opens an external URL in a new window]
A. Jüngel, K. Schuh Long-time behavior for discretization schemes of Fokker–Planck equations via couplings [arXiv:2403.10111, opens an external URL in a new window]
E. Davoli, K. Nik, U. Stefanelli, G. Tomassetti An existence result for accretive growth in elastic solids [arXiv:2403.08307, opens an external URL in a new window]
A. Arnold, J. Körner WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation [arXiv:2402.18406, opens an external URL in a new window]
L. Nannen, M. Wess A Krylov Eigenvalue Solver Based on Filtered Time Domain Solutions [arXiv:2402.08515, opens an external URL in a new window]
E. A. Nigsch, N. Ortner Quasinormable Fréchet spaces and M. W. Wong's inequality [arXiv:2402.08044, opens an external URL in a new window]
[published, opens an external URL in a new window]
M. Brunner, D. Praetorius, J. Streitberger Optimal cost of (goal-oriented) adaptive FEM for general second-order linear elliptic PDEs Proceedings of ENUMATH 2023
M. Brunner, D. Praetorius, J. Streitberger Cost-optimal adaptive FEM for semilinear elliptic PDEs Proceedings of ENUMATH 2023
A. Miraçi, D. Praetorius, J. Streitberger Parameter-robust full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs [arXiv:2401.17778, opens an external URL in a new window]
E. Davoli, C. Gavioli, L. Lombardini Existence results for Cahn-Hilliard type systems driven by nonlocal integrodifferential operators with singular kernels [arXiv:2401.15738, opens an external URL in a new window]
M. Halla, M. Kachanovska, M. Wess Radial perfectly matched layers and infinite elements for the anisotropic wave equation [arXiv:2401.13483, opens an external URL in a new window]
J. Gopalakrishnan, M. Neunteufel, J. Schöberl, M. Wardetzky On the improved convergence of lifted distributional Gauss curvature from Regge elements [arXiv:2401.12734, opens an external URL in a new window]
A. Arnold, C. Klein, J. Körner, M. Melenk Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime [arXiv:2401.10141, opens an external URL in a new window]
E. Davoli, G. Di Fratta, R. Giorgio A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions [arXiv:2401.10104, opens an external URL in a new window]
M. Brunner, D. Praetorius, J. Streitberger Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs [arXiv:2401.06486, opens an external URL in a new window]
A. Jüngel, Y. Li Existence of global weak solutions to a Cahn–Hilliard cross-diffusion system in lymphangiogenesis [arXiv:2401.05180, opens an external URL in a new window]

Authors Title Reference
M. Wess, B. Kapidani, L. Codecasa, J. Schöberl Mass lumping the dual cell method to arbitrary polynomial degree for acoustic and electromagnetic waves [arXiv:2312.14716, opens an external URL in a new window]
[published, opens an external URL in a new window]
E. Davoli, U. Stefanelli Level sets of eikonal functions are John regular [arXiv:2312.17635, opens an external URL in a new window]
J. S. Christiansen, B. Eichinger, O. Rubin Extremal polynomials and polynomial preimages [arXiv:2312.12992, opens an external URL in a new window]
C. Horvath, A. Körner, C. Modiz Data-based Model Identification of the Hypothalamus-Pituitary-Thyroid Complex [arXiv:2312.11179, opens an external URL in a new window]
A. Edthofer, I. Feldhammer, T. Fenzl, A. Körner, M. Kreuzer Permutation Entropy as a Conceptual Model to Analyse Brain Activity in Sleep [arXiv:2312.07129, opens an external URL in a new window]
F. Achleitner, G. Akagi, C. Kuehn, J.M. Melenk, J. Rademacher, C. Soresina, J. Yang Fractional dissipative PDEs [arXiv:2312.05606, opens an external URL in a new window]
[published, opens an external URL in a new window]
P. Bringmann, M. Brunner, D. Praetorius, J. Streitberger Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs [arXiv:2312.00489, opens an external URL in a new window]
P. Bringmann, M. Feischl, A. Miraci, D. Praetorius, J. Streitberger On full linear convergence and optimal complexity of adaptive FEM with inexact solver [arXiv:2311.15738, opens an external URL in a new window]
A. Jüngel, B. Wang Structure-preserving semi-convex-splitting numerical scheme for a Cahn-Hilliard cross-diffusion system in lymphangiogenesis [arXiv:2311.11398, opens an external URL in a new window]
E. Davoli, E. Rocca, L. Scarpa, L. Trussardi Local asymptotics and optimal control for a viscous Cahn-Hilliard-Reaction-Diffusion model for tumor growth [arXiv:2311.10457, opens an external URL in a new window]
J. Gopalakrishnan, M. Neunteufel, J. Schöberl, M. Wardetzky Analysis of distributional Riemann curvature tensor in any dimension [arXiv:2311.01603, opens an external URL in a new window]
P. Bringmann Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methods [arXiv:2310.19930, opens an external URL in a new window]
F. Achleitner, A. Arnold, A. Jüngel Hypocoercivity for Linear ODEs and Strong Stability for Runge--Kutta Methods [arXiv:2310.19758, opens an external URL in a new window]
E.S. Gawlik, M. Neunteufel Finite element approximation of the Einstein tensor [arXiv:2310.18802, opens an external URL in a new window]
C. Gavioli, P. Krejčí Long time behavior of a porous medium model with degenerate hysteresis [arXiv:2310.15881, opens an external URL in a new window]
G. Toshpulatov Well-posedness and trend to equilibrium for the Vlasov-Poisson-Fokker-Planck system with a confining potential [arXiv:2310.12258, opens an external URL in a new window]
A. Arnold, opens an external URL in a new window, G. Toshpulatov Exponential stability and hypoelliptic regularization for the kinetic Fokker-Planck equation with confining potential [arXiv:2310.06410, opens an external URL in a new window]
L. D'Elia, M. Eleuteri, E. Zappale Homogenization of supremal functionals in vectorial setting (via power-law approximation) [arxiv:2310.01175, opens an external URL in a new window]
A. Arnold, opens an external URL in a new window, J. Körner High-order WKB-based method for the 1D stationary Schrödinger equation in the semi-classical limit [arXiv:2310.00963, opens an external URL in a new window] , opens an external URL in a new window
J. Körner, A. Arnold, opens an external URL in a new window, C. Klein, J. M. Melenk, opens an external URL in a new window Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation [arXiv:2310.00955, opens an external URL in a new window]
K. Dareiotis, M. Gerencser, opens an external URL in a new window, K. Le A central limit theorem for the Euler method for SDEs with irregular drifts [arXiv:2309.16339, opens an external URL in a new window]
H. Kremp, N. Perkowski Periodic homogenization for singular Lévy SDEs [arXiv:2309.16225, opens an external URL in a new window]
H. Kremp, N. Perkowski Rough weak solutions for singular Lévy SDEs [arXiv.2309.15460, opens an external URL in a new window]
H. Kremp, N. Perkowski Fractional Kolmogorov equations with singular paracontrolled terminal conditions [arXiv:2309.14733, opens an external URL in a new window]
A. Arnold, opens an external URL in a new window, A. Einav, T. Wöhrer Sharp Decay of the Fisher Information for Degenerate Fokker—Planck Equations [arXiv:2309.05316, opens an external URL in a new window]
N. Bou-Rabee, K. Schuh Nonlinear Hamiltonian Monte Carlo & its Particle Approximation [arXiv:2308.11491, opens an external URL in a new window]
A. Sky, M. Neunteufel, P. Lewintan, A. Zilian, P. Neff Novel H(symCurl)-conforming finite elements for the relaxed micromorphic sequence [arXiv:2308.07750, opens an external URL in a new window]
[published, opens an external URL in a new window]
F. Achleitner, A. Arnold, opens an external URL in a new window, A. Jüngel, opens an external URL in a new window Necessary and sufficient conditions for strong stability of explicit Runge-Kutta methods [arXiv:2308.05689, opens an external URL in a new window]
M. Langer, H. Woracek, opens an external URL in a new window Karamata’s theorem for regularised Cauchy transforms [arXiv:2307.12249, opens an external URL in a new window]
M. Faustmann, opens an external URL in a new window, C. Marcati, J. M. Melenk, opens an external URL in a new window, C. Schwab Weighted analytic regularity for the integral fractional Laplacian in polyhedra [arXiv:2307.11679, opens an external URL in a new window]
R. Pruckner, J. Reiffenstein, H. Woracek, opens an external URL in a new window An upper bound for the Nevanlinna matrix of an indeterminate moment sequence [arXiv:2307.10748, opens an external URL in a new window]
F. Achleitner, A. Arnold, opens an external URL in a new window, V. Mehrmann, E. Nigsch Hypocoercivity in Hilbert spaces [arXiv:2307.08280, opens an external URL in a new window]
G. Bonfanti, E. Davoli, opens an external URL in a new window, R. Rossi A coupled rate-dependent/rate-independent system for adhesive contact in Kirchhoff-Love plates [arXiv:2307.06327, opens an external URL in a new window]
J. M. Melenk, opens an external URL in a new window, L. Demkowicz, S. Henneking Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides [arXiv:2307.04521, opens an external URL in a new window]
X. Huo, A. Jüngel, opens an external URL in a new window Global existence and weak-strong uniqueness for chemotaxis compressible Navier-Stokes equations modeling vascular network formation [arXiv:2307.03412, opens an external URL in a new window]
X. Chen, A. Jüngel, opens an external URL in a new window, X. Lin, L. Liu Large-time asymptotics for degenerate cross-diffusion population models with volume filling [arXiv:2306.17425, opens an external URL in a new window]
M. Karkulik, J. M. Melenk, opens an external URL in a new window, A. Rieder On interpolation spaces of piecewise polynomials on mixed meshes [arXiv:2306.16907, opens an external URL in a new window]
K. Riehl, M. Neunteufel, M. Hemberg Hierarchical confusion matrix for classification performance evaluation [arXiv:2306.09461, opens an external URL in a new window]
[published, opens an external URL in a new window]
E. Davoli, opens an external URL in a new window, L. D'Elia, J. Ingmanns Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions [arXiv:2306.05151, opens an external URL in a new window]
J. Hu, A. Jüngel, opens an external URL in a new window, N. Zamponi Global weak solutions for a nonlocal multispecies Fokker-Planck-Landau system [arXiv:2305.17447, opens an external URL in a new window]
A. Sky, M. Neunteufel, J. Hale, A. Zilian A Reissner-Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations [arXiv:2305.17249, opens an external URL in a new window]
[published, opens an external URL in a new window]
M. Gerencser, opens an external URL in a new window, G. Lampl, C. Ling The Milstein scheme for singular SDEs with Hölder continuous drift [arXiv:2305.16004, opens an external URL in a new window]
A. Jüngel, opens an external URL in a new window, A. Massimini Analysis of a Poisson-Nernst-Planck-Fermi system for charge transport in ion channels [arXiv:2305.15286, opens an external URL in a new window]
M. Fellner, A. Jüngel, opens an external URL in a new window Existence analysis of a cross-diffusion system with nonlinear Robin boundary conditions for vesicle transport in neurites [arXiv:2305.15281, opens an external URL in a new window]
[published, opens an external URL in a new window]
E. Davoli, opens an external URL in a new window, R. Ferreira, I. Fonseca, J.A. Iglesias Dyadic partition-based training schemes for TV/TGV denoising [arXiv:2305.07150, opens an external URL in a new window]
F. Charles, A. Massimini, F. Salvarani Mathematical and numerical study of a kinetic model describing the evolution of planetary rings [hal-03788536, opens an external URL in a new window]
[published, opens an external URL in a new window]
M. Neunteufel, J. Schöberl, opens an external URL in a new window The Hellan-Herrmann-Johnson and TDNNS method for linear and nonlinear shells [arXiv:2304.13806, opens an external URL in a new window]
E. Davoli, opens an external URL in a new window, G. Di Fratta, A. Fiorenza, L. Happ A modular Poincaré-Wirtinger type inequality on Lipschitz domains for Sobolev spaces with variable exponents [arXiv:2304.13132, opens an external URL in a new window]
J. Bohn, W. Dörfler, M. Feischl, opens an external URL in a new window, S. Karch Adaptive mesh refinement for the Landau-Lifshitz-Gilbert equation [arXiv:2303.07463, opens an external URL in a new window]
L. Anzeletti, K. Lê, Ch. Ling Path-by-path uniqueness for stochastic differential equations under Krylov-Röckner condition [arXiv:2304.06802, opens an external URL in a new window]
K. Hollaus, M. Schöbinger Multiscale Finite Element Formulations for 2D/1D Problems [arXiv:2304.06553, opens an external URL in a new window]
M. Feischl, opens an external URL in a new window, H. Hackl Adaptive Image Compression via Optimal Mesh Refinement [arXiv:2304.01640, opens an external URL in a new window]
K. Hopf, A. Jüngel, opens an external URL in a new window​​​​​​​ Convergence of a finite volume scheme and dissipative measure-valued-strong stability for a hyperbolic-parabolic cross-diffusion system [arXiv:2304.00787, opens an external URL in a new window]
S. Georgiadis, A. Jüngel, opens an external URL in a new window​​​​​​​ Global existence of weak solutions and weak-strong uniqueness for nonisothermal Maxwell-Stefan systems [arXiv:2303.17693, opens an external URL in a new window]
C. Gavioli, P. Krejci Degenerate diffusion with Preisach hysteresis [arXiv:2303.17451, opens an external URL in a new window]
[published, opens an external URL in a new window]
C. Cancès, M. Herda, A. Massimini Finite volumes for a generalized Poisson-Nernst-Planck system with cross-diffusion and size exclusion [hal-04022357, opens an external URL in a new window]
L. Demkowicz, J. M. Melenk, opens an external URL in a new window, J. Badger, S. Henneking Stability Analysis for Electromagnetic Waveguides. Part 2: Nonhomogeneous Waveguides [Oden Institute, opens an external URL in a new window]
[published, opens an external URL in a new window]
M. Buzancic, E. Davoli, opens an external URL in a new window, I. Velcic Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: the limiting regimes [arXiv:2302.14758, opens an external URL in a new window]
M. Faustmann, opens an external URL in a new window, A. Rieder, opens an external URL in a new window FEM-BEM coupling in Fractional Diffusion [arXiv:2302.11279, opens an external URL in a new window]
A. Jüngel, opens an external URL in a new window​​​​​​​, S. Portisch, A. Zurek A convergent finite-volume scheme for nonlocal cross-diffusion systems for multi-species populations [arXiv:2302.10993, opens an external URL in a new window]
Ch. Helmer, A. Jüngel, opens an external URL in a new window​​​​​​​ Existence analysis for a reaction-diffusion Cahn-Hilliard-type system with degenerate mobility and singular potential modeling biofilm growth [arXiv:2302.07765, opens an external URL in a new window]
[published, opens an external URL in a new window]
E. Davoli, opens an external URL in a new window, G. Di Fratta, V. Pagliari Sharp conditions for the validity of the Bourgain-Brezis-Mironescu formula [arXiv:2302.05653, opens an external URL in a new window]
S. Georgiadis, A. Jüngel, opens an external URL in a new window​​​​​​​, A. E. Tzavaras Non-isothermal multicomponent flows with mass diffusion and heat conduction [arXiv:2301.08928, opens an external URL in a new window]
M. Faustmann, opens an external URL in a new window, A. Rieder, opens an external URL in a new window Fractional Diffusion in the full space: decay and regularity [arXiv:2301.05503, opens an external URL in a new window]
A. Jüngel, opens an external URL in a new window​​​​​​​, M. Vetter A convergent entropy-dissipating BDF2 finite-volume scheme for a population cross-diffusion system [arXiv:2301.03200, opens an external URL in a new window]
[published, opens an external URL in a new window]
E.S. Gawlik, M. Neunteufel Finite element approximation of scalar curvature in arbitrary dimension [arXiv:2301.02159, opens an external URL in a new window]

 
Author Title Reference
F. Achleitner, A. Arnold, V. Mehrmann Hypocoercivity in algebraically constrained partial differential equations with application to Oseen equations [arXiv:2212.06631], opens an external URL in a new window
[published, opens an external URL in a new window]
S. Simonov, H. Woracek Spectral multiplicity of selfadjoint Schrödinger operators on star-graphs with non-Kirchhoff interface conditions [arXiv:2212.03820], opens an external URL in a new window
M. Buzancic, E. Davoli, I. Velcic Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure [arXiv:2212.02116], opens an external URL in a new window
M. Brunner, P. Heid, M. Innerberger, A. Miraci, D. Praetorius, J. Streitberger Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs [arXiv:2212.00353], opens an external URL in a new window
[published, opens an external URL in a new window]
Ch. Ling, M. Scheutzow Expansion and attraction of RDS: long time behavior of the solution to singular SDE [arXiv:2211.14202], opens an external URL in a new window
A. Iuorio, G. Jankowiak, P. Szmolyan, M.-T. Wolfram Canards in a bottleneck [arXiv:2211.16652], opens an external URL in a new window
[published, opens an external URL in a new window]
M. Biswas, A. Jüngel Global martingale solutions to a segregation cross-diffusion system with stochastic forcing [arXiv:2211.05019], opens an external URL in a new window
[published, opens an external URL in a new window]
R. Becker, M. Brunner, M. Innerberger, J.M. Melenk, D.Praetorius Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs [arXiv:2211.04123], opens an external URL in a new window
[published, opens an external URL in a new window]
P.-E. Druet, K. Hopf, A. Jüngel Hyperbolic-parabolic normal form and local classical solutions for cross-diffusion systems with incomplete diffusion [arXiv:2210.17244], opens an external URL in a new window
[published, opens an external URL in a new window]
A. Arnold, S. Geevers, I. Perugia, D. Ponomarev On the limiting amplitude principle for the wave equation with variable coefficients [arXiv:2202.10105], opens an external URL in a new window
M. Innerberger, A. Miraci, D. Praetorius, J. Streitberger hp -robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs [arXiv:2210.10415], opens an external URL in a new window
M. Faustmann, E.P. Stephan, D. Wörgötter Two-level error estimation for the integral fractional Laplacian [arXiv:2209.13366], opens an external URL in a new window
[published, opens an external URL in a new window]
M. Faustmann, C. Marcati, J.M. Melenk, C. Schwab Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons [arXiv:2209.11468], opens an external URL in a new window
[published, opens an external URL in a new window]
M. Gerencser, H. Singh Strong convergence of parabolic rate 1 of discretisations of stochastic Allen-Cahn-type equations [arXiv:2209.09222], opens an external URL in a new window
[published, opens an external URL in a new window]
M. Bernkopf, T. Chaumont-Frelet, J.M. Melenk Wavenumber-explicit stablity and convergence analysis of hp-finite element discretizations of Helmholtz problems in piecewise smooth media [arXiv:2209.03601], opens an external URL in a new window
C.P. Ma, J.M. Melenk Exponential convergence of a generalized FEM for heterogeneous reaction-diffusion equations [arxiv:2209.01957], opens an external URL in a new window
E. Davoli, R. Ferreira, C. Kreisbeck, H. Schönberger Structural changes in nonlocal denoising models arising through bi-level parameter learning [published, opens an external URL in a new window]
V. Helml, M. Innerberger, D. Praetorius Plain convergence of goal-oriented adaptive FEM [published, opens an external URL in a new window]
A. Bespalov, D. Praetorius, M. Ruggeri Goal-oriented adaptive multilevel stochastic Galerkin FEM [arXiv:2208.09388], opens an external URL in a new window
X. Chen, A. Jüngel, L. Wang The Shigesada-Kawasaki-Teramoto cross-diffusion system beyond detailed balance [arXiv:2207.09876], opens an external URL in a new window
[published, opens an external URL in a new window]
K. Dareiotis, M. Gerencser Path-by-path regularisation through multiplicative noise in rough, Young, and ordinary differential equations [arXiv:2207.03476], opens an external URL in a new window
L. Galeati, M. Gerencser Solution theory of fractional SDEs in complete subcritical regimes [arXiv:2207.03475], opens an external URL in a new window
K. Uldall Kristiansen, P. Szmolyan A dynamical systems approach to WKB-methods: The simple turning point [arXiv:2207.00252], opens an external URL in a new window 
E. Tasso Rectifiability of a class of integralgeometric measures and applications [arXiv:2206.14044], opens an external URL in a new window
A. Zdunek, M. Neunteufel, W. Rachowicz On pressure robustness and independent determination of displacement and pressure in incompressible linear elasticity [arXiv:2207.02615], opens an external URL in a new window
[published, opens an external URL in a new window]
M. Fellner, A. Jüngel A coupled stochastic differential reaction-diffusion system for angiogenesis [arXiv:2206.11510], opens an external URL in a new window
[published, opens an external URL in a new window]
J. Gopalakrishnan, M. Neunteufel, J. Schöberl, M. Wardetzky Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics [arXiv:2206.09343], opens an external URL in a new window
[published, opens an external URL in a new window]
A. Desoeuvres, P. Szmolyan, O. Radulescu Qualitative dynamics of chemical reaction networks: an investigation using partial tropical equilibrations [arXiv:2205.07360], opens an external URL in a new window
[published, opens an external URL in a new window]
X. Huo, A. Jüngel, A. Tzavaras Existence and weak-strong uniqueness for Maxwell-Stefan-Cahn-Hilliard systems [arXiv:2205.06478], opens an external URL in a new window
[published, opens an external URL in a new window]
O. Butkovsky, K. Dareiotis, M. Gerencser Strong rate of convergence of the Euler scheme for SDEs with irregular drift driven by Levy noise [arXiv:2204.12926], opens an external URL in a new window
F. Achleitner, A. Arnold, V. Mehrmann Hypocoercivity and hypocontractivity concepts for linear dynamical systems [arXiv:2204.13033], opens an external URL in a new window
[published, opens an external URL in a new window]
S. Almi, E. Davoli, M. Friedrich Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture [published, opens an external URL in a new window]
E. Davoli, C. Gavioli, V. Pagliari A homogenization result in finite plasticity and its application to high-contrast media [arXiv:2204.09084, opens an external URL in a new window
Benjamin Eichinger Asymptotics for Christoffel functions associated to continuum Schroedinger operators [arXiv:2204.05633], opens an external URL in a new window
M. Faustmann, J.M. Melenk, C. Marcati, C. Schwab Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D [arXiv:2204.04113], opens an external URL in a new window
[published, opens an external URL in a new window]
C. Jourdana, A. Jüngel, N. Zamponi Three-species drift-diffusion models for memristors [arXiv:2204.03275], opens an external URL in a new window
[published, opens an external URL in a new window]
B. Eichinger, J. Fillman, E. Gwaltney, M. Lukic Limit-Periodic Dirac Operators with Thin Spectra [arXiv:2203.12650], opens an external URL in a new window
[published, opens an external URL in a new window]
N. Angleitner, M. Faustmann, J.M. Melenk Exponential meshes and H-matrices [arXiv:2203.09925], opens an external URL in a new window
[published, opens an external URL in a new window]
G. Di Fratta, C.-M. Pfeiler, D. Praetorius, M. Ruggeri The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics [arXiv:2203.06445], opens an external URL in a new window
[published, opens an external URL in a new window]
M. Innerberger, D. Praetorius MooAFEM: An object oriented Matlab code for higher-order (nonlinear) adaptive FEM [arXiv:2203.01845], opens an external URL in a new window
[published, opens an external URL in a new window]
G. Gantner, D. Praetorius, S. Schimanko Stable implementation of adaptive IGABEM in 2D in Matlab [arXiv:2203.00394], opens an external URL in a new window
[published, opens an external URL in a new window]
R. Pruckner, H. Woracek A growth estimate for the monodromy matrix of a canonical system [arXiv:2202.13984], opens an external URL in a new window
M. Braukhoff, F. Huber, A. Jüngel Global martingale solutions for stochastic Shigesada-Kawasaki-Teramoto population models [arXiv:2202.12602], opens an external URL in a new window
[published, opens an external URL in a new window]
A. Sky, M. Neunteufel, I. Münch, J. Schöberl, P. Neff Primal and mixed finite element formulations for the relaxed micromorphic model [arXiv:2202.08715], opens an external URL in a new window
[published, opens an external URL in a new window]
A. Jüngel, N. Zamponi Analysis of a fractional cross-diffusion system for multi-species populations [arXiv:2202.03787], opens an external URL in a new window
J.M. Melenk, A. Rieder An exponentially convergent discretization for space-time fractional parabolic equations using hp-FEM [published, opens in new window]
A. Arnold, S. Geevers, I. Perugia, D. Ponomarev On the exponential time-decay for the one-dimensional wave equation with variable coefficients [arXiv:2201.04379], opens an external URL in a new window
[published, opens an external URL in a new window]
J.M. Melenk, S.A. Sauter Wavenumber-explicit hp-FEM analysis for Maxwell's equations with impedance boundary conditions [arXiv:2201.02602] , opens an external URL in a new window
M. Langer, R. Pruckner, H. Woracek Canonical systems whose Weyl coefficients have regularly varying asymptotics [arXiv:2201.01522], opens an external URL in a new window

Author Title Reference
V. Pagliari, K. Papafitsoros, B. Raita, and A. Vikelis Bilevel training schemes in imaging for total-variation-type functionals with convex integrands [arXiv:2112.10682, opens an external URL in a new window]
[published, opens an external URL in a new window]
M. Faustmann, J.M. Melenk, C. Marcati, C. Schwab Weighted analytic regularity for the integral fractional Laplacian in polygons [arXiv:2112.08151, opens an external URL in a new window]
R. Becker, M. Brunner, M. Innerberger, J.M. Melenk, D.Praetorius Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs [arXiv:2112.06687, opens an external URL in a new window]
[published, opens an external URL in a new window]
F. Bonizzoni,. D. Pradovera, M. Ruggeri Rational-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots [arXiv:2112.04302, opens an external URL in a new window]
N.J. Mauser, C.-M. Pfeiler, D. Praetorius, M. Ruggeri Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics [arXiv:2112.00451, opens an external URL in a new window]
[published, opens an external URL in a new window]
P. Baumann, P. Gangl, K. Sturm Complete topological asymptotic expansion for L2 and H1 tracking-type cost functionals in dimension two and three [arXiv:2111.08418, opens an external URL in a new window]
B. Detmann, C. Gavioli, P. Krejci, J. Lamac, Y. Namlyeyeva A model for lime consolidation of porous solids [arXiv:2111.07570, opens an external URL in a new window]
C. Gavioli, P. Krejci Phase transitions in porous media [arXiv:2111.04562, opens an external URL in a new window]
R. Becker, M. Innerberger, D. Praetorius Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems [arXiv:2111.03627, opens an external URL in a new window]
[published, opens an external URL in a new window]
C. Helmer, A. Jüngel, A. Zurek Analysis of a finite-volume scheme for a single-species biofilm model [arXiv:2110.14933, opens an external URL in a new window]
[published, opens an external URL in a new window]
O. Butkovsky, K. Dareiotis, M. Gerencser Optimal rate of convergence for approximations of SPDEs with non-regular drift [arXiv:2110.06148, opens an external URL in a new window]
[published, opens an external URL in a new window]
E. Davoli, K. Nik, U. Stefanelli Existence results for a morphoelastic model [arXiv:2110.05566, opens an external URL in a new window]
X. Huo, A. Jüngel, A. Tzavaras Weak-strong uniqueness for Maxwell-Stefan systems [arXiv:2110.05331, opens an external URL in a new window]
M. Gerencser, M. Hairer Boundary renormalisation of SPDEs [arXiv:2110.03656, opens an external URL in a new window]
C. Bargetz, E. A. Nigsch, N. Ortner. Projective descriptions of spaces of functions and distributions [arXiv:2109.14448, opens an external URL in a new window]
F. Achleitner, A. Arnold, opens an external URL in a new window, E. Carlen The hypocoercivity index for the short time behavior of linear time-invariant ODE systems [arXiv:2109.10784, opens an external URL in a new window]
[published, opens an external URL in a new window]
A. Barletti, P. Holzinger, and A. Jüngel Formal derivation of quantum drift-diffusion equation with spin-orbit interaction [arXiv:2109.09616, opens an external URL in a new window]
L. Chen, A. Holzinger, A. Jüngel, and N. Zamponi Analysis and mean field derivation of a porous-medium equation with fractional diffusion [arXiv:2109.08598, opens an external URL in a new window]
N. Angleitner, M. Faustmann, J.M. Melenk H-inverses for RBF interpolation [arXiv:2109.05763, opens an external URL in a new window]
[published, opens an external URL in a new window]
M. Bresciani, M. Kruzik A reduced model for plates arising as low energy Γ-limit in nonlinear magnetoelasticity [arXiv:2109.04864, opens an external URL in a new window]
E. Daus, M. Fellner, and A. Jüngel Random-batch method for multi-species stochastic interacting particle systems [arXiv:2109.01897, opens an external URL in a new window]
H. Oezelt, L. Qu, A. Kovacs, J. Fischbacher, M. Gusenbauer, R. Beigelbeck, D. Praetorius, Y. Masao, T. Shoji, A. Kato, R. Chantrell, M. Winklhofer, G. Zimanyi, T. Schrefl Full-spin-wave-scaled finite element stochastic micromagnetism: Mesh-independent FUSSS LLG simulations of ferromagnetic resonance and reversal [arXiv:2108.10582, opens an external URL in a new window]
[published, opens an external URL in a new window]
M. Langer, R. Pruckner, H. Woracek Canonical systems whose Weyl coefficients have dominating real part [arXiv:2108.10162, opens an external URL in a new window]
B. Eichinger, M. Lukic, B. Simanek An approach to universality using Weyl m-functions [arXiv:2108.01629, opens an external URL in a new window]
E. Davoli, C. Kreisbeck On static and evolutionary homogenization in crystal plasticity for stratified composites [arXiv:2108.00038, opens an external URL in a new window]
E. Davoli, I. Mazari, U. Stefanelli Spectral optimization of inhomogeneous plates [arXiv:2107.11207, opens an external URL in a new window]
P. Gangl, K. Sturm Automated computation of topological derivatives with application to nonlinear elasticity and reaction-diffusion problems [arXiv:2107.09963, opens an external URL in a new window]
P. Baumann, K. Sturm Adjoint based methods to compute higher order topological derivatives with an application to elasticity [arXiv:2107.09426, opens an external URL in a new window]
G. Gantner, D. Praetorius Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations [arXiv:2107.06613, opens an external URL in a new window]
[published, opens an external URL in a new window]
A. Buffa, G. Gantner, C. Gianelli, D. Praetorius, R. Vazquez Mathematical foundations of adaptive isogeometric analysis [arXiv:2107.02023, opens an external URL in a new window]
[published, opens an external URL in a new window]
C. Bargetz, A. Debrouwere, E.A. Nigsch Sequence space representations for spaces of smooth functions and distributions via Wilson bases [arXiv:2107.00245, opens an external URL in a new window]
[published, opens an external URL in a new window]
G. Di Fratta, A. Monteil, V. Slastikov Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization [arXiv:2106.15830, opens an external URL in a new window]
A. Arnold, B. Signorello Optimal non-symmetric Fokker-Planck equation for the convergence to a given equilibrium [arXiv:2106.15742, opens an external URL in a new window]
[published, opens an external URL in a new window]
A.A.S Amad, P.D. Ledger, T. Betcke, D. Praetorius Accurate benchmark computations of the polarizability tensor for characterising small conducting inclusions [arXiv:2106.15157, opens an external URL in a new window]
[published, opens an external URL in a new window]
M. Langer, R. Pruckner, H. Woracek Estimates for the Weyl coefficient of a two-dimensional canonical system [arXiv:2106.07391, opens an external URL in a new window]
A. Sokolova, H. Woracek Nawrotzki’s algorithm for the countable splitting lemma, constructively [arXiv:2106.06614, opens an external URL in a new window]
R. Pruckner, H. Woracek Limit behaviour of Weyl coefficients [arXiv:2106.04167, opens an external URL in a new window]
A. Kovacs, L. Exl, A. Kornell, J. Fischbacher, M. Hovorka, M. Gusenbauer, L. Breth, H. Oezelt, D. Praetorius, D. Suess, T. Schrefl Magnetostatics and micromagnetics with physics informed neural networks [arXiv:2106.03362, opens an external URL in a new window]
[published, opens an external URL in a new window]
C. Erath, L. Mascotto, J.M. Melenk, I. Perugia, A. Rieder mortar coupling of hp-discontinuous Galerkin and boundary element methods for the Helmholtz equation [arXiv:2105.06173, opens an external URL in a new window]
A. Jüngel, A. Zurek A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems [arXiv:2105.05476, opens an external URL in a new window]
[published, opens an external URL in a new window]
E. Davoli, M. Kruzik, V. Pagliari Homogenization of high-contrast composites under differential constraints [arXiv:2104.08079, opens an external URL in a new window]
E. Davoli, A. Molchanova, U. Stefanelli Equilibria of charged hyperelastic solids [arXiv:2104.08079, opens an external URL in a new window]
F. Achleitner, A. Arnold, V. Mehrmann Hypocoercivity and controllability in linear semi-dissipative ODEs and DAEs [arXiv:2104.07619, opens an external URL in a new window]
[published, opens an external URL in a new window]
A. Jüngel, S. Portisch, A. Zurek Nonlocal cross-diffusion systems for multi-species populations and networks [arXiv:2104.06292, opens an external URL in a new window]
I. Mazari, G. Nadin, A.I. Toledo Marrero Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: Two-scale expansions and symmetrisations [arXiv:2104.01080, opens an external URL in a new window]
M. Bresciani, E. Davoli, M. Kružík Existence results in large-strain magnetoelasticity with asymmetric exchange energy [arXiv:2103.16261, opens an external URL in a new window]
M. Faustmann, J.M. Melenk, M. Parvizi H-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equation [arXiv:2103.14981, opens an external URL in a new window]
R.H. Nochetto, M. Ruggeri, S. Yang Gamma-convergent projection-free finite element methods for nematic liquid crystals: The Ericksen model [arXiv:2103.13926, opens an external URL in a new window]
A. Arnold, S. Geevers, I. Perugia, D. Ponomarev An adaptive finite element method for high-frequency scattering problems with variable coefficients [arXiv:2103.02511, opens an external URL in a new window]
[published, opens an external URL in a new window]
J. Körner, A. Arnold, K. Döpfner WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime [arXiv:2102.03107, opens an external URL in a new window]
[published, opens an external URL in a new window]
K. Dareiotis, M. Gerencser, K. Le Quantifying a convergence theorem of Gyöngy and Krylov [arXiv:2101.12185, opens an external URL in a new window]
[published, opens an external URL in a new window]
R. Becker, G. Gantner, M. Innerberger, D.Praetorius Goal-oriented adaptive finite element methods with optimal computational complexity [arXiv:2101.11407, opens an external URL in a new window]
[published, opens an external URL in a new window]
B. Eichinger, M. Lukic, G. Young Asymptotics of Chebyshev rational functions with respect to subsets of the real line [arXiv:2101.01744, opens an external URL in a new window]
G. Di Fratta, A. Fiorenza A unified divergent approach to Hardy-Poincaré inequalities in classical and variable Sobolev Spaces [arXiv:2103.06547, opens an external URL in a new window][published, opens an external URL in a new window]
G. Di Fratta, A. Fiorenza, V. Slastikov On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces [arXiv:2110.08755, opens an external URL in a new window]

Author Title Reference
G. Dhariwal, F. Huber, A. Jüngel Global martingale solutions for a stochastic Shigesada-Kawasaki-Teramoto population model [arXiv:2012.12765, opens an external URL in a new window]
A. Arnold, J. Dolbeault, C. Schmeiser, T. Wöhrer Sharpening of decay rates in Fourier based hypocoercivity methods [arXiv:2012.09103, opens an external URL in a new window]
[published, opens an external URL in a new window]
E. Davoli, T. Roubicek, U. Stefanelli A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains [arXiv:2012.08914, opens an external URL in a new window]
[published, opens an external URL in a new window]
A. Menovschikov, A. Molchanova, L. Scarpa An extended variational theory for nonlinear evolution equations via modular spaces [arXiv:2012.05518, opens an external URL in a new window]
A. Jüngel, A. Zurek A convergent structure-preserving finite-volume scheme for the Shigesada-Kawasaki-Teramoto population system [arXiv:2011.08731, opens an external URL in a new window]
L. Banjai, J.M. Melenk, C. Schwab Exponential Convergence of hp FEM for Spectral Fractional Diffusion in Polygons [arXiv:2011.05701, opens an external URL in a new window]
E.S. Daus, M.P. Gualdani, J. Xu, N. Zaponi, X. Zhang Non-local porous media equations with fractional time derivative [arXiv:2010.16332, opens an external URL in a new window]
E. Davoli, G. Di Fratta, D. Praetorius, M. Ruggeri Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction [arXiv:2010.15541, opens an external URL in a new window]
[published, opens an external URL in a new window]
L. Chen, E.S. Daus, A. Holzinger, A. Jüngel Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems [arXiv:2010.12389, opens an external URL in a new window]
G. Di Fratta, A. Jüngel, D. Praetorius, V. Slastikov Spin-diffusion model for micromagnetics in the limit of long times [arXiv:2009.14534, opens an external URL in a new window]
[published, opens an external URL in a new window]
A. Abbatiello, M. Bulicek, E. Maringova On the dynamic slip boundary condition for Navier-Stokes-like problems [arXiv:2009.09057, opens an external URL in a new window]
M. Gerencser Regularisation by regular noise [arXiv:2009.08418, opens an external URL in a new window]
[published, opens an external URL in a new window]
M. Bulicek, J. Malek, E. Maringova On nonlinear problems of parabolic type with implicit constitutive equations involving flux [arXiv:2009.06917, opens an external URL in a new window]
G. Gantner, D. Praetorius Plain convergence of adaptive algorithms without exploiting reliability and efficiency [arXiv:2009.01349, opens an external URL in a new window]
[published, opens an external URL in a new window]
M. Feischl, A. Scaglioni Convergence of adaptive stochastic collocation with finite elements [arXiv:2008.12591, opens an external URL in a new window]
M. Faustmann, J.M. Melenk, M. Parvizi Caccioppoli-type estimates and H -Matrix approximations to inverses for FEM- BEM couplings [arXiv:2008.11498, opens an external URL in a new window]
E. Davoli, M. Kruzik, P. Pelech Separately global solutions to rate-independent processes in large-strain inelasticity [arXiv:2008.02244, opens an external URL in a new window]
[published, opens an external URL in a new window]
A. Kauch, P. Worm, P. Prauhart, M. Innerberger, C. Watzenböck, K. Held Enhancement of impact ionization in Hubbard clusters by disorder and next-nearest-neighbor hopping [arXiv:2007.16035, opens an external URL in a new window]
[published, opens an external URL in a new window]
L. Barletti, P. Holzinger, A. Jüngel Quantum drift-diffusion equations for a two-dimensional electron gas with a spin-orbit [arXiv:2007.15947, opens an external URL in a new window]
M. Bresciani Linearized von Karman theory for incompressible magnetoelastic plates [arXiv:2007.14122, opens an external URL in a new window]
A. Arnold, A. Einav, B. Signorello, T. Wöhrer Large time convergence of the non-homogeneous Goldstein-Taylor equation [arXiv:2007.11792, opens an external URL in a new window]
[published, opens an external URL in a new window]
P. Heid, D. Praetorius, T.P. Wihler Energy contraction and optimal convergence of adaptive iterative linearized finite element methods [arXiv:2007.10750, opens an external URL in a new window]
[published, opens an external URL in a new window]
F. Achleitner, C. Kuehn, J.M. Melenk, A. Rieder Metastable speeds in the fractional Allen-Cahn equation [arXiv:2006.02731, opens an external URL in a new window]
A. Bespalov, D. Praetorius, M. Ruggeri Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin FEM [arXiv:2006.02255, opens an external URL in a new window]
[published, opens an external URL in a new window]
E. Daus, M. Ptashnyk, C. Raithel Derivation of a fractional cross-diffusion system as the limit of a stochastic many-particle system driven by Lévy noise [arXiv:2006.00277, opens an external URL in a new window]
M. Faustmann, M. Karkulik, J.M. Melenk Local convergence of the FEM for the integral fractional Laplacian [arXiv:2005.14109, opens an external URL in a new window]
M. Innerberger, P. Worm, P. Prauhart, A. Kauch Electron-light interaction in nonequilibrium - exact diagonalization for time dependent Hubbard Hamiltonians [arXiv:005.13498, opens an external URL in a new window]
[published, opens an external URL in a new window]
T. Führer, D. Praetorius A short note on plain convergence of adaptive least-squares finite element methods [arXiv:2005.11015, opens an external URL in a new window]
[published, opens an external URL in a new window]
P. Gangl, K. Sturm Topological derivative for PDEs on surfaces [arXiv:2005.09011, opens an external URL in a new window]
T.S. Gutleb, N.J. Mauser, M. Ruggeri, H.P. Stimming A time splitting method for the three-dimensional linear Pauli equation [arXiv:2005.06072, opens an external URL in a new window]
N. Angleitner, M. Faustmann, J.M. Melenk Approximating inverse FEM matrices on non-uniform meshes with H-matrices [arXiv:2005.04999, opens an external URL in a new window]
E. Davoli, M. Friedrich Two-well linearization for solid-solid phase transitions [arXiv:2005.03892, opens an external URL in a new window]
A. Haberl, D. Praetorius, S. Schimanko, M. Vohralik Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver [arXiv:2004.13137, opens an external URL in a new window]
[published, opens an external URL in a new window]
L. Banjai, J.M. Melenk, C. Schwab hp-FEM for reaction-diffusion equations, Part II. Robust exponential convergence for multiple length scales in corner domains [arXiv:2004.10517, opens an external URL in a new window]
[published, opens an external URL in a new window]
G. Gantner, D. Praetorius Adaptive BEM for elliptic PDE systems, Part I: Abstract framework for weakly-singular integral equations [arXiv:2004.07762, opens an external URL in a new window]
[published, opens an external URL in a new window]
P. Gangl, K. Sturm, M. Neunteufel, J. Schöberl Fully and Semi-Automated Shape Differentiation in NGSolve [arXiv:2004.06783, opens an external URL in a new window]
C. Helmer, A. Jüngel Analysis of Maxwell-Stefan systems for heat conducting fluid mixtures [arXiv:2004.06440, opens an external URL in a new window]
L. Mascotto, J.M. Melenk, I. Perugia, A. Rieder FEM-BEM mortar coupling for the Helmholtz problem in three dimensions [arXiv:2004.03523, opens an external URL in a new window]
J. Dick, M. Feischl Quasi-Monte Carlo data compression algorithm for machine learning [arXiv:2004.02491, opens an external URL in a new window]
R. Becker, M. Innerberger, D. Praetorius Optimal convergence rates for goal-oriented FEM with quadratic goal functional [arXiv:2003.13270, opens an external URL in a new window]
[published, opens an external URL in a new window]
G. Gantner, A. Haberl, D. Praetorius, S. Schimanko Rate optimality of adaptive finite element methods with respect to the overall computational costs [arXiv:2003.10785, opens an external URL in a new window]
[published, opens an external URL in a new window]
C. Bellingeri, P. K. Friz, M. Gerencser Singular paths spaces and applications [arXiv:2003.03352, opens an external URL in a new window]
[published, opens an external URL in a new window]
A. Rieder, F.J. Sayas, J.M. Melenk Runge-Kutta approximation for C0-semigroups in the graph norm with applications to time domain boundary integral equations [arXiv:2003.01996, opens an external URL in a new window]
A. Arnold, C. Schmeiser, B. Signorello Propagator norm and sharp decay estimates for Fokker-Planck equations with linear drift [arXiv:2003.01405, opens an external URL in a new window]
[published, opens an external URL in a new window]
K. Dareiotis, M. Gerencser, B. Gess Porous media equations with multiplicative space-time white noise [arXiv:2002.12924, opens an external URL in a new window]
[published, opens an external URL in a new window]
M.S. Edalatzadeh, D. Kalise, K.A. Morris, K. Sturm Shape Optimization of Actuators over Banach Spaces for Nonlinear Systems [arXiv:2002.07172, opens an external URL in a new window]
M. Bulicek, A. Jüngel, M. Pokorny, N. Zamponi Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures [arXiv:2001.06082, opens an external URL in a new window]
K. Sturm First-order differentiability properties of a class of equality constrained optimal value functions with applications [arXiv:2001.04340, opens an external URL in a new window]
A. Jüngel, M. Braukhoff Entropy-dissipating finite-difference schemes for nonlinear fourth-order parabolic equations [arXiv:2001.03742, opens an external URL in a new window]
M. Bernkopf, J.M. Melenk Optimal convergence rates in L2 for a first order system least squares finite element method, Part 1: Homogeneous boundary conditions  
J.M. Gambi, M.L. Garcia del Pino, J. Mosser, E.B. Weinmüller Numerical simulation of post-Newtonian ECI equations for orbital motion  
M. Ruggeri Numerical analysis of the Landau-Lifshitz-Gilbert equation with inertial effects  [arXiv:2103.09888, opens an external URL in a new window]
A. Bespalov, D. Praetorius, M. Ruggeri Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM [published, opens an external URL in a new window]
K. Döpfner, A. Arnold On the stationary Schrödinger equation in the semi-classical limit: Asymptotic blow-up at a turning point [published, opens an external URL in a new window]
P. Amodio, A. Arnold, T. Levitina, G. Settanni, E. Weinmüller On the Abramov approach for the numerical simulation of the whispering gallery modes in prolate spheroids [published, opens an external URL in a new window]
A. Rieder, F. Sayas, J.M. Melenk Time domain boundary integral equations and convolution quadrature for scattering by composite media [arXiv;2010.14162, opens an external URL in a new window]
G. Di Fratta, A. Fiorenza, V. Slastikov An estimate of the blow-up of Lebesgue norms in the non-tempered case  
G. Di Fratta Micromagnetics of curved thin films