2024

Below we have also listed the Preprints from past years.
Authors Title Link
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]
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]

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]
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]
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 Report 23-3, 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