Recent preprints

Year Authors Title Link
2023 J. Hu, A. Jüngel, N. Zamponi Global weak solutions for a nonlocal multispecies Fokker-Planck-Landau system arXiv:2305.17447
2023 A. Jüngel, A. Massimini Analysis of a Poisson-Nernst-Planck-Fermi system for charge transport in ion channels arXiv:2305.15286
2023 M. Fellner, A. Jüngel Existence analysis of a cross-diffusion system with nonlinear Robin boundary conditions for vesicle transport in neurites arXiv:2305.15281
2023 L. Anzeletti, K. Lê, Ch. Ling Path-by-path uniqueness for stochastic differential equations under Krylov-Röckner condition arXiv:2304.06802
2023 K. Hopf, A. Jüngel Convergence of a finite volume scheme and dissipative measure-valued-strong stability for a hyperbolic-parabolic cross-diffusion system arXiv:2304.00787
2023 S. Georgiadis, A. Jüngel Global existence of weak solutions and weak-strong uniqueness for nonisothermal Maxwell-Stefan systems arXiv:2303.17693
2023 C. Gavioli, P. Krejci Degenerate diffusion with Preisach hysteresis arXiv:2303.17451
2023 M. Buzancic, E. Davoli, I. Velcic Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: the limiting regimes arXiv:2302.14758
2023 M. Faustmann, A. Rieder FEM-BEM coupling in Fractional Diffusion arXiv:2302.11279
2023 A. Jüngel, S. Portisch, A. Zurek A convergent finite-volume scheme for nonlocal cross-diffusion systems for multi-species populations arXiv:2302.10993
2023 Ch. Helmer, A. Jüngel Existence analysis for a reaction-diffusion Cahn-Hilliard-type system with degenerate mobility and singular potential modeling biofilm growth arXiv:2302.07765
2023 E. Davoli, G. Di Fratta, V. Pagliari Sharp conditions for the validity of the Bourgain-Brezis-Mironescu formula arXiv:2302.05653
2023 S. Georgiadis, A. Jüngel, A. E. Tzavaras Non-isothermal multicomponent flows with mass diffusion and heat conduction arXiv:2301.08928
2023 M. Faustmann, A. Rieder Fractional Diffusion in the full space: decay and regularity arXiv:2301.05503
2023 A. Jüngel, M. Vetter A convergent entropy-dissipating BDF2 finite-volume scheme for a population cross-diffusion system arXiv:2301.03200
2023 M. Gerencser, H. Singh Strong convergence of parabolic rate 1 of discretisations of stochastic Allen-Cahn-type equations arXiv:2209.09222

Older preprints

2022 S. Simonov, H. Woracek Spectral multiplicity of selfadjoint Schrödinger operators on star-graphs with non-Kirchhoff interface conditions arXiv:2212.03820
2022 M. Buzancic, E. Davoli, I. Velcic Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure arXiv:2212.02116
2022 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
2022 Ch. Ling, M. Scheutzow Expansion and attraction of RDS: long time behavior of the solution to singular SDE arXiv:2211.14202
2022 M. Biswas, A. Jüngel Global martingale solutions to a segregation cross-diffusion system with stochastic forcing arXiv:2211.05019
2022 R. Becker, M. Brunner, M. Innerberger, J.M. Melenk, D.Praetorius Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs arXiv:2211.04123
2022 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
2022 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
2022 M. Faustmann, E.P. Stephan, D. Wörgötter Two-level error estimation for the integral fractional Laplacian arXiv:2209.13366
2022 M. Faustmann, C. Marcati, J.M. Melenk, C. Schwab Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons arXiv:2209.11468
2022 E. Davoli, R. Ferreira, C. Kreisbeck, H. Schönberger Structural changes in nonlocal denoising models arising through bi-level parameter learning arXiv:2209.06256
2022 V. Helml, M. Innerberger, D. Praetorius Plain convergence of goal-oriented adaptive FEM arXiv:2208.10143
2022 A. Bespalov, D. Praetorius, M. Ruggeri Goal-oriented adaptive multilevel stochastic Galerkin FEM arXiv:2208.09388
2022 X. Chen, A. Jüngel, L. Wang The Shigesada-Kawasaki-Teramoto cross-diffusion system beyond detailed balance arXiv:2207.09876
2022 K. Dareiotis, M. Gerencser Path-by-path regularisation through multiplicative noise in rough, Young, and ordinary differential equations arXiv:2207.03476
2022 L. Galeati, M. Gerencser Solution theory of fractional SDEs in complete subcritical regimes arXiv:2207.03475
2022 E. Tasso Rectifiability of a class of integralgeometric measures and applications arXiv:2206.14044
2022 M. Fellner, A. Jüngel A coupled stochastic differential reaction-diffusion system for angiogenesis arXiv:2206.11510
2022 X. Huo, A. Jüngel, A. Tzavaras Existence and weak-strong uniqueness for Maxwell-Stefan-Cahn-Hilliard systems arXiv:2205.06478
2022 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
2022 S. Almi, E. Davoli, M. Friedrich Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture arXiv:2204.10622
2022 E. Davoli, C. Gavioli, V. Pagliari A homogenization result in finite plasticity and its application to high-contrast media arXiv:2204.09084
2022 M. Faustmann, J.M. Melenk, C. Marcati, C. Schwab Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D arXiv:2204.04113
2022 C. Jourdana, A. Jüngel, N. Zamponi Three-species drift-diffusion models for memristors arXiv:2204.03275
2022 N. Angleitner, M. Faustmann, J.M. Melenk Exponential meshes and H-matrices arXiv:2203.09925
2022 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 [published]
arXiv:2203.06445
2022 M. Innerberger, D. Praetorius MooAFEM: An object oriented Matlab code for higher-order (nonlinear) adaptive FEM [published]
arXiv:2203.01845
2022 G. Gantner, D. Praetorius, S. Schimanko Stable implementation of adaptive IGABEM in 2D in Matlab [published]
arXiv:2203.00394
2022 R. Pruckner, H. Woracek A growth estimate for the monodromy matrix of a canonical system arXiv:2202.13984
2022 M. Braukhoff, F. Huber, A. Jüngel Global martingale solutions for stochastic Shigesada-Kawasaki-Teramoto population models arXiv:2202.12602
2022 A. Jüngel, N. Zamponi Analysis of a fractional cross-diffusion system for multi-species populations arXiv:2202.03787
2022 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
2022 J.M. Melenk, S.A. Sauter Wavenumber-explicit hp-FEM analysis for Maxwell's equations with impedance boundary conditions arXiv:2201.02602
2022 M. Langer, R. Pruckner, H. Woracek Canonical systems whose Weyl coefficients have regularly varying asymptotics arXiv:2201.01522
2022 V. Pagliari, K. Papafitsoros, B. Raita, and A. Vikelis Bilevel training schemes in imaging for total-variation-type functionals with convex integrands [published]
arXiv:2112.10682
2022 R. Becker, M. Brunner, M. Innerberger, J.M. Melenk, D.Praetorius Goal-oriented adaptive finite element method for semilinear elliptic PDEs [published]
arXiv:2112.06687
2021 G. Di Fratta, A. Fiorenza, V. Slastikov On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces arXiv:asc04x2021
2021 M. Faustmann, J.M. Melenk, C. Marcati, C. Schwab Weighted analytic regularity for the integral fractional Laplacian in polygons arXiv:2112.08151
2021 R. Becker, M. Brunner, M. Innerberger, J.M. Melenk, D.Praetorius Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs [published]
arXiv:2112.06687
2021 F. Bonizzoni,. D. Pradovera, M. Ruggeri Rational-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots arXiv:2112.04302
2021 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 [published]
arXiv:2112.00451
2021 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
2021 B. Detmann, C. Gavioli, P. Krejci, J. Lamac, Y. Namlyeyeva A model for lime consolidation of porous solids arXiv:2111.07570
2021 C. Gavioli, P. Krejci Phase transitions in porous media arXiv:2111.04562
2021 R. Becker, M. Innerberger, D. Praetorius Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems [published]
arXiv:2111.03627
2021 C. Helmer, A. Jüngel, A. Zurek Analysis of a finite-volume scheme for a single-species biofilm model arXiv:2110.14933
2021 O. Butkovsky, K. Dareiotis, M. Gerencser Optimal rate of convergence for approximations of SPDEs with non-regular drift [published]
arXiv:2110.06148
2021 E. Davoli, K. Nik, U. Stefanelli Existence results for a morphoelastic model arXiv:2110.05566
2021 X. Huo, A. Jüngel, A. Tzavaras Weak-strong uniqueness for Maxwell-Stefan systems arXiv:2110.05331
2021 M. Gerencser, M. Hairer Boundary renormalisation of SPDEs arXiv:2110.03656
2021 C. Bargetz, E. A. Nigsch, N. Ortner. Projective descriptions of spaces of functions and distributions arXiv:2109.14448
2021 A. Barletti, P. Holzinger, and A. Jüngel Formal derivation of quantum drift-diffusion equation with spin-orbit interaction arXiv:2109.09616
2021 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
2021 N. Angleitner, M. Faustmann, J.M. Melenk H-inverses for RBF interpolation arXiv:2109.05763
2021 M. Bresciani, M. Kruzik A reduced model for plates arising as low energy Γ-limit in nonlinear magnetoelasticity arXiv:2109.04864
2021 E. Daus, M. Fellner, and A. Jüngel Random-batch method for multi-species stochastic interacting particle systems arXiv:2109.01897
2021 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 [published]
arXiv:2108.10582
2021 M. Langer, R. Pruckner, H. Woracek Canonical systems whose Weyl coefficients have dominating real part arXiv:2108.10162
2021 B. Eichinger, M. Lukic, B. Simanek An approach to universality using Weyl m-functions arXiv:2108.01629
2021 E. Davoli, C. Kreisbeck On static and evolutionary homogenization in crystal plasticity for stratified composites arXiv:2108.00038
2021 E. Davoli, I. Mazari, U. Stefanelli Spectral optimization of inhomogeneous plates arXiv:2107.11207
2021 P. Gangl, K. Sturm Automated computation of topological derivatives with application to nonlinear elasticity and reaction-diffusion problems arXiv:2107.09963
2021 P. Baumann, K. Sturm Adjoint based methods to compute higher order topological derivatives with an application to elasticity arXiv:2107.09426
2021 G. Gantner, D. Praetorius Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations [published]
arXiv:2107.06613
2021 A. Buffa, G. Gantner, C. Gianelli, D. Praetorius, R. Vazquez Mathematical foundations of adaptive isogeometric analysis [published]
arXiv:2107.02023
2021 C. Bargetz, A. Debrouwere, E.A. Nigsch Sequence space representations for spaces of smooth functions and distributions via Wilson bases [published]
arXiv:2107.00245
2021 G. Di Fratta, A. Monteil, V. Slastikov Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization arXiv:2106.15830
2021 A. Arnold, B. Signorello Optimal non-symmetric Fokker-Planck equation for the convergence to a given equilibrium [published]
arXiv:2106.15742
2021 A.A.S Amad, P.D. Ledger, T. Betcke, D. Praetorius Accurate benchmark computations of the polarizability tensor for characterising small conducting inclusions [published]
arXiv:2106.15157
2021 M. Langer, R. Pruckner, H. Woracek Estimates for the Weyl coefficient of a two-dimensional canonical system arXiv:2106.07391
2021 A. Sokolova, H. Woracek Nawrotzki’s algorithm for the countable splitting lemma, constructively arXiv:2106.06614
2021 R. Pruckner, H. Woracek Limit behaviour of Weyl coefficients arXiv:2106.04167
2021 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 [published]
arXiv:2106.03362
2021 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
2021 A. Jüngel, A. Zurek A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems arXiv:2105.05476
2021 E. Davoli, M. Kruzik, V. Pagliari Homogenization of high-contrast composites under differential constraints arXiv:2104.08079
2021 E. Davoli, A. Molchanova, U. Stefanelli Equilibria of charged hyperelastic solids arXiv:2104.08079
2021 F. Achleitner, A. Arnold, V. Mehrmann Hypocoercivity and controllability in linear semi-dissipative ODEs and DAEs [published]
arXiv:2104.07619
2021 A. Jüngel, S. Portisch, A. Zurek Nonlocal cross-diffusion systems for multi-species populations and networks arXiv:2104.06292
2021 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
2021 M. Bresciani, E. Davoli, M. Kružík Existence results in large-strain magnetoelasticity with asymmetric exchange energy arXiv:2103.16261
2021 M. Faustmann, J.M. Melenk, M. Parvizi H-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equation arXiv:2103.14981
2021 R.H. Nochetto, M. Ruggeri, S. Yang Gamma-convergent projection-free finite element methods for nematic liquid crystals: The Ericksen model arXiv:2103.13926
2021 A. Arnold, S. Geevers, I. Perugia, D. Ponomarev An adaptive finite element method for high-frequncy scattering problemes with variable coefficients arXiv:2103.02511
2021 J. Körner, A. Arnold, K. Döpfner WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime [published]
arXiv:2102.03107
2021 K. Dareiotis, M. Gerencser, K. Le Quantifying a convergence theorem of Gyöngy and Krylov [published]
arXiv:2101.12185
2021 R. Becker, G. Gantner, M. Innerberger, D.Praetorius Goal-oriented adaptive finite element methods with optimal computational complexity [published]
arXiv:2101.11407
2021 B. Eichinger, M. Lukic, G. Young Asymptotics of Chebyshev rational functions with respect to subsets of the real line arXiv:2101.01744
2021 G. Dhariwal, F. Huber, A. Jüngel Global martingale solutions for a stochastic Shigesada-Kawasaki-Teramoto population model arXiv:2012.12765
2021 A. Arnold, J. Dolbeault, C. Schmeiser, T. Wöhrer Sharpening of decay rates in Fourier based hypocoercivity methods [published]
arXiv:2012.09103
2021 G. Di Fratta, A. Fiorenza A unified divergent approach to Hardy-Poincaré inequalities in classical and variable Sobolev Spaces [pdf]
2020 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 arXiv:asc45x2020
2020 J.M. Gambi, M.L. Garcia del Pino, J. Mosser, E.B. Weinmüller Numerical simulation of post-Newtonian ECI equations for orbital motion arXiv:asc40x2020
2020 M. Ruggeri Numerical analysis of the Landau-Lifshitz-Gilbert equation with inertial effects arXiv:asc38x2020
2020 A. Bespalov, D. Praetorius, M. Ruggeri Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM [published]
arXiv:asc37x2020
2020 K. Döpfner, A. Arnold On the stationary Schrödinger equation in the semi-classical limit: Asymptotic blow-up at a turning point [published]
arXiv:asc32x2020
2020 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]
arXiv:asc31x2020
2020 A. Rieder, F. Sayas, J.M. Melenk Time domain boundary integral equations and convolution quadrature for scattering by composite media arXiv:asc29x2020
2020 G. Di Fratta, A. Fiorenza, V. Slastikov An estimate of the blow-up of Lebesgue norms in the non-tempered case arXiv:asc19x2020
2020 G. Di Fratta Micromagnetics of curved thin films arXiv:asc17x2020
2020 E. Davoli, T. Roubicek, U. Stefanelli A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains [published]
arXiv:2012.08914
asc41x2020.pdf
2020 A. Menovschikov, A. Molchanova, L. Scarpa An extended variational theory for nonlinear evolution equations via modular spaces arXiv:2012.05518
asc39x2020.pdf
2020 A. Jüngel, A. Zurek A convergent structure-preserving finite-volume scheme for the Shigesada-Kawasaki-Teramoto population system arXiv:2011.08731
asc34x2020.pdf
2020 L. Banjai, J.M. Melenk, C. Schwab Exponential Convergence of hp FEM for Spectral Fractional Diffusion in Polygons arXiv:2011.05701
asc30x2020.pdf
2020 E.S. Daus, M.P. Gualdani, J. Xu, N. Zaponi, X. Zhang Non-local porous media equations with fractional time derivative arXiv:2010.16332
asc42x2020.pdf
2020 E. Davoli, G. Di Fratta, D. Praetorius, M. Ruggeri Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction [published]
arXiv:2010.15541
asc28x2020.pdf
2020 L. Chen, E.S. Daus, A. Holzinger, A. Jüngel Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems arXiv:2010.12389
asc27x2020.pdf
2020 G. Di Fratta, A. Jüngel, D. Praetorius, V. Slastikov Spin-diffusion model for micromagnetics in the limit of long times [published]
arXiv:2009.14534
asc26x2020.pdf
2020 A. Abbatiello, M. Bulicek, E. Maringova On the dynamic slip boundary condition for Navier-Stokes-like problems arXiv:2009.09057
asc35x2020.pdf
2020 M. Gerencser Regularisation by regular noise [published]
arXiv:2009.08418
2020 M. Bulicek, J. Malek, E. Maringova On nonlinear problems of parabolic type with implicit constitutive equations involving flux arXiv:2009.06917
asc36x2020.pdf
2020 G. Gantner, D. Praetorius Plain convergence of adaptive algorithms without exploiting reliability and efficiency [published]
arXiv:2009.01349
asc25x2020.pdf
2020 M. Feischl, A. Scaglioni Convergence of adaptive stochastic collocation with finite elements arXiv:2008.12591
2020 M. Faustmann, J.M. Melenk, M. Parvizi Caccioppoli-type estimates and H -Matrix approximations to inverses for FEM- BEM couplings arXiv:2008.11498
asc20x2020.pdf
2020 E. Davoli, M. Kruzik, P. Pelech Separately global solutions to rate-independent processes in large-strain inelasticity [published]
arXiv:2008.02244
asc46x2020.pdf
2020 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 [published]
arXiv:2007.16035
2020 L. Barletti, P. Holzinger, A. Jüngel Quantum drift-diffusion equations for a two-dimensional electron gas with a spin-orbit arXiv:2007.15947
asc23x2020.pdf
2020 M. Bresciani Linearized von Karman theory for incompressible magnetoelastic plates arXiv:2007.14122
asc33x2020.pdf
2020 A. Arnold, A. Einav, B. Signorello, T. Wöhrer Large time convergence of the non-homogeneous Goldstein-Taylor equation [published]
arXiv:2007.11792
asc22x2020.pdf
2020 P. Heid, D. Praetorius, T.P. Wihler Energy contraction and optimal convergence of adaptive iterative linearized finite element methods [published]
arXiv:2007.10750
asc21x2020.pdf
2020 F. Achleitner, C. Kuehn, J.M. Melenk, A. Rieder Metastable speeds in the fractional Allen-Cahn equation arXiv:2006.02731
asc13x2020.pdf
2020 A. Bespalov, D. Praetorius, M. Ruggeri Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin FEM [published]
arXiv:2006.02255
asc18x2020.pdf
2020 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
asc43x2020.pdf
2020 M. Faustmann, M. Karkulik, J.M. Melenk Local convergence of the FEM for the integral fractional Laplacian arXiv:2005.14109
asc24x2020.pdf
2020 M. Innerberger, P. Worm, P. Prauhart, A. Kauch Electron-light interaction in nonequilibrium - exact diagonalization for time dependent Hubbard Hamiltonians [published]
arXiv:2005.13498
2020 T. Führer, D. Praetorius A short note on plain convergence of adaptive least-squares finite element methods [published]
arXiv:2005.11015
asc16x2020.pdf
2020 P. Gangl, K. Sturm Topological derivative for PDEs on surfaces arXiv:2005.09011
2020 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
asc15x2020.pdf
2020 N. Angleitner, M. Faustmann, J.M. Melenk Approximating inverse FEM matrices on non-uniform meshes with H-matrices arXiv:2005.04999
asc14x2020.pdf
2020 E. Davoli, M. Friedrich Two-well linearization for solid-solid phase transitions arXiv:2005.03892
asc47x2020.pdf
2020 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 [published]
arXiv:2004.13137
asc12x2020.pdf
2020 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
asc11x2020.pdf
2020 G. Gantner, D. Praetorius Adaptive BEM for elliptic PDE systems, Part I: Abstract framework for weakly-singular integral equations [published]
arXiv:2004.07762
asc10x2020.pdf
2020 P. Gangl, K. Sturm, M. Neunteufel, J. Schöberl Fully and Semi-Automated Shape Differentiation in NGSolve arXiv:2004.06783
2020 C. Helmer, A. Jüngel Analysis of Maxwell-Stefan systems for heat conducting fluid mixtures arXiv:2004.06440
asc09x2020.pdf
2020 L. Mascotto, J.M. Melenk, I. Perugia, A. Rieder FEM-BEM mortar coupling for the Helmholtz problem in three dimensions arXiv:2004.03523
asc08x2020.pdf
2020 J. Dick, M. Feischl Quasi-Monte Carlo data compression algorithm for machine learning arXiv:2004.02491
2020 R. Becker, M. Innerberger, D. Praetorius Optimal convergence rates for goal-oriented FEM with quadratic goal functional [published]
arXiv:2003.13270
asc07x2020.pdf
2020 G. Gantner, A. Haberl, D. Praetorius, S. Schimanko Rate optimality of adaptive finite element methods with respect to the overall computational costs [published]
arXiv:2003.10785
asc04x2020.pdf
2020 C. Bellingeri, P. K. Friz, M. Gerencser Singular paths spaces and applications [published]
arXiv:2003.03352
2020 A. Rieder, F.J. Sayas, J.M. Melenk Runge-Kutta approximation for C0-semigroups in the graph norm with applica- tions to time domain boundary integral equations arXiv:2003.01996
asc06x2020.pdf
2020 A. Arnold, C. Schmeiser, B. Signorello Propagator norm and sharp decay estimates for Fokker-Planck equations with linear drift [published]
arXiv:2003.01405
asc05x2020.pdf
2020 K. Dareiotis, M. Gerencser, B. Gess Porous media equations with multiplicative space-time white noise [published]
arXiv:2002.12924
2020 M.S. Edalatzadeh, D. Kalise, K.A. Morris, K. Sturm Shape Optimization of Actuators over Banach Spaces for Nonlinear Systems arXiv:2002.07172
2020 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
asc02x2020.pdf
2020 K. Sturm First-order differentiability properties of a class of equality constrained optimal value functions with applications arXiv:2001.04340
2020 A. Jüngel, M. Braukhoff Entropy-dissipating finite-difference schemes for nonlinear fourth-order parabolic equations arXiv:2001.03742
asc01x2020.pdf
2020 M. Faustmann, J.M. Melenk, M. Parvizi On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion arXiv:1912.09160 
asc03x2020.pdf
2020 E.S. Daus, S. Jin, L. Liu On the multi-species Boltzmann equation with uncertainty and its stochastic Galerkin approximation arXiv:1909.01231
asc44x2020.pdf
2020 E. Davoli, I. Fonseca, P. Liu Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme arXiv:1902.01122
asc48x2020.pdf
2019 W. Auzinger, M. Fallahpour, O. Koch, E. Weinmüller Implementation of a pathfollowing strategy with an automatic step-length control: New MATLAB package bvpsuite2.0 arXiv:asc31x2019
2019 W. Auzinger, O. Koch, E. Weinmüller, S. Wurm Modular version bvpsuite1.2 of the collocation MATLAB package bvpsuite1.1 arXiv:asc30x2019
2019 G. Di Fratta, A. Fiorenza BMO-type seminorms from Escher-type tessellations arXiv:asc17x2019
2019 R. Pruckner, H. Woracek Limit behaviour of Nevanlinna functions arXiv:asc16x2019
2019 E. Davoli, G. Di Fratta Homogenization of chiral magnetic materials - A mathematical evidence of Dzyaloshinskii’s predictions on helical structures [published]
arXiv:asc14x2019
2019 J.M. Melenk, A. Rieder On superconvergence of Runge-Kutta convuolution quadrature for the wave equation arXiv:asc13x2019
2019 A. Sass, M. Tung, E. Weinmüller Numerische Lösung singulärer Randwertprobleme gewöhnlicher Differentialgleichungen: Neuer Matlab Code bvpsuite 2.0 arXiv:asc05x2019
2019 R. Romanov, H. Woracek Canonical systems with discrete spectrum arXiv:asc04x2019
2019 P. Amodio, C. Budd, O. Koch, V. Rottschäfer, G. Settanni, E. Weinmüller Near critical, self-similar, blow-up solutions of the generalised Korteweg-de Vries equation: asymptotics and computations [published]
arXiv:asc02x2019
2019 S. Kurz, D. Pauly, D. Praetorius, S. Repin, D. Sebastian Functional a posteriori error estimates for boundary element methods [published]
arXiv:1912.05789
asc29x2019.pdf
2019 P.-E. Druet and A. Jüngel Analysis of cross-diffusion systems for fluid mixtures driven by a pressure gradient [published]
arXiv:1911.10160
asc28x2019.pdf
2019 Y.F. Albuquerque, A. Laurain, K. Sturm A shape optimization approach for electrical impedance tomography with point measurements arXiv:1911.06074
2019 F. Alouges, G. Di Fratta Parking 3-sphere swimmer, part II. The long arm asymptotic regime arXiv:1910.10712
asc24x2019.pdf
2019 G. Di Fratta, M. Innerberger, D. Praetorius Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics [published]
arXiv:1910.04630 
asc26x2019.pdf
2019 G. Gantner, D. Praetorius Adaptive IGAFEM with optimal convergence rates: T-splines [published]
arXiv:1910.01311
asc25x2019.pdf
2019 G. Dhariwal, F. Huber, A. Jüngel, C. Kuehn, A. Neamtu Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method arXiv:1909.08892
asc27x2019.pdf
2019 O. Butkovsky, K. Dareiotis, M. Gerencser Approximation of SDEs - a stochastic sewing approach [published]
arXiv:1909.07961
2019 J. Bohn, M. Feischl Recurrent Neural Networks as optimal mesh refinement strategies arXiv:1909.04275
2019 P. Gangl, K. Sturm Asymptotic analysis and topological derivative for 3D quasi-linear magnetostatics arXiv:1908.10775
2019 P. Holzinger, A. Jüngel Large-time asymptotics for a matrix spin drift-diffusion model arXiv:1908.10096
asc23x2019.pdf
2019 X. Chen, A. Jüngel When do cross-diffusion systems have an entropy structure? arXiv:1908.06873
asc22x2019.pdf
2019 P. Gangl, K. Sturm A simplified derivation technique of topological derivatives for quasi-linear transmission problems arXiv:1907.13420
2019 C.-M. Pfeiler, D. Praetorius Dörfler marking with minimal cardinality is a linear complexity problem [published]
arXiv:1907.13078
asc20x2019.pdf
2019 M. Innerberger, D. Praetorius Instance-optimal goal-oriented adaptivity [published]
arXiv:1907.13035
asc21x2019.pdf
2019 A. Jüngel, O. Leingang, S. Wang Vanishing cross-diffusion limit in a Keller-Segel system with additional cross-diffusion arXiv:1907.11387
asc19x2019.pdf
2019 L. Nannen, M. Wess Complex scaled infinite elements for exterior Helmholtz problems arXiv:1907.09746
2019 D. Praetorius, M. Ruggeri, E.P. Stephan The saturation assumption yields optimal convergence of two-level adaptive BEM [published]
arXiv:1907.06612
asc18x2019.pdf
2019 G. Di Fratta, C. Muratov, F. Rybakov, V. Slastikov Variational principles of micromagnetics revisited arXiv:1905.04568
asc15x2019.pdf
2019 G. Di Fratta, A. Fiorenza A short proof of local regularity of distributional solutions of Poisson’s equation arXiv:1904.05839 
asc10x2019.pdf
2019 G. Di Fratta. J.M. Robbins, V. Slastikov, A. Zarnescu Landau-de Gennes corrections to the Oseen-Frank theory of nematic liquid crystals arXiv:1904.02410
asc09x2019.pdf
2019 A. Arnold, S. Jin, T. Wöhrer Sharp Decay Estimates in Local Sensitivity Analysis for Evolution Equations with Uncertainties: from ODEs to Linear Kinetic Equations [published]
arXiv:1904.01190
asc08x2019.pdf
2019 J.M. Melenk, S.A. Sauter, C. Torres Wave number-explicit analysis for Galerkin discretizations of lossy Helmholtz problems arXiv:1904.00207
asc11x2019.pdf
2019 M. Faustmann, J.M. Melenk, D. Praetorius Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian [published]
arXiv:1903.10409
asc07x2019.pdf
2019 M.S. Edalatzadeh, D. Kalise, K.A. Morris, K. Sturm Optimal actuator design for vibration control based on LQR performance and shape calculus arXiv:1903.07572
2019 G. Gantner, D. Praetorius, S. Schimanko Adaptive isogeometric boundary element methods with local smoothness control [published]
arXiv:1903.01830
asc06x2019.pdf
2019 T. Betcke, A. Haberl, D. Praetorius Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra [published]
arXiv:1901.08393
asc03x2019.pdf
2019 G. Di Fratta, V. Slastikov, A. Zarnescu On a sharp Poincaré-type inequality on the 2-sphere and its application in micromagnetics arXiv:1901.04334
asc01x2019.pdf
2019 J.M. Melenk, A. Rieder hp-FEM for the fractional heat equation arXiv:1901.01767
asc12x2019.pdf
2018 A. Jüngel, U. Stefanelli, L. Trussardi Two time discretizations for gradient flows exactly replicating energy dissipation arXiv:asc28x2018
2018 F. Auer, E. Weinmüller Convergence of the collocation schemes for systems of nonlinear ODEs with a time singularity arXiv:asc26x2018
2018 T. Jawecki, W. Auzinger, O. Koch Computable strict upper bounds for Krylov approximations to a class of matrix exponentials and φ-functions arXiv:asc23x2018
2018 M. Fallahpour, S. McKee, E. Weinmüller Numerical simulation of flow in smectic liquid crystals arXiv:asc16x2018
2018 J. Burkotova, I. Rachunkova, S. Stanek, E. Weinmüller, S. Wurm On nonsingular BVPs with nonsmooth data. Part 1: Analytical results arXiv:asc14x2018
2018 J. Gambi, M. Garcia del Pino, J. Mosser, E. Weinmüller Post-Newtonian equations for free-space laser communications between space-based systems arXiv:asc13x2018
2018 W. Auzinger, J. Burkotova, I. Rachunkova, V. Wenin Shooting methods for state-dependent impulsive boundary value problems, with applications arXiv:asc02x2018
2018 W. Auzinger, H. Hofstätter, O. Koch, M. Quell, M. Thalhammer A Posteriori Error Estimation for Magnus-Type Integrators arXiv:asc01x2018
2018 G. Di Fratta, T. Führer, G. Gantner, D. Praetorius Adaptive Uzawa algorithm for the Stokes equation [published]
arXiv:1812.11798
asc34x2018.pdf
2018 C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N. Mauser, D. Praetorius Computational micromagnetics with Commics [published]
arXiv:1812.05931
asc33x2018.pdf
2018 A. Gerstenmayer, A. Jüngel Comparison of a finite-element and finite-volume scheme for a degenerate cross-diffusion system for ion transport arXiv:1812.05849
asc32x2018.pdf
2018 A. Bespalov, D. Praetorius, L. Rocchi, M. Ruggeri Convergence of adaptive stochastic Galerkin FEM [published]
arXiv:1811.09462
asc31x2018.pdf
2018 L. Chen, E. Daus, A. Jüngel Rigorous mean-field limit and cross diffusion arXiv:1810.08409
asc30x2018.pdf
2018 X. Huo, A. Jüngel, A. Tzavaras High-friction limits of Euler flows for multicomponent systems arXiv:1810.08225 
asc29x2018.pdf
2018 A. Jüngel, M. Ptashnyk Homogenization of degenerate cross-diffusion systems arXiv:1810.07395
asc27x2018.pdf
2018 A. Jüngel, O. Leingang Convergence of an implicit Euler Galerkin scheme for Poisson-Maxwell-Stefan systems arXiv:1809.00413
asc22x2018.pdf
2018 J. Kraus, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, B. Stiftner Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics [published]
arXiv:1808.10281
asc21x2018.pdf
2018 M. Bernkopf, J.M. Melenk Analysis of the hp-version of a first order system least squares method for the Helmholtz equation arXiv:1808.07825
asc24x2018.pdf
2018 T. Führer, G. Gantner, D. Praetorius, S. Schimanko Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods [published]
arXiv:1808.04585
asc20x2018.pdf
2018 M. Karkulik, J.M. Melenk H-matrix approximability of inverses of discretizations of the fractional Laplacian arXiv:1808.04274
asc25x2018.pdf
2018 A. Arnold, C. Klein, B. Ujvari WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment [published]
arXiv:1808.01887
asc19x2018.pdf
2018 S.S. Rodrigues, K. Sturm On the explicit feedback stabilisation of 1D linear nonautonomous parabolic equations via oblique projections arXiv:1808.01125
2018 A. Bespalov, T. Betcke, A. Haberl, D. Praetorius Adaptive BEM with optimal convergence rates for the Helmholtz equation [published]
arXiv:1807.11802
asc18x2018.pdf
2018 C. Erath, D. Praetorius Optimal adaptivity for the SUPG finite element method [published]
arXiv:1806.11000 
asc17x2018.pdf
2018 A. Bespalov, D. Praetorius, L. Rocchi, M. Ruggeri Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs [published]
arXiv:1806.03928
asc15x2018.pdf
2018 T. Führer, A. Haberl, D. Praetorius, S. Schimanko Adaptive BEM with inexact PCG solver yields almost optimal computational costs [published]
arXiv:1806.00313
asc12x2018.pdf
2018 A. Arnold, K. Döpfner Stationary Schrödinger equation in the semi-classical limit: WKB-based scheme coupled to a turning point [published]
arXiv:1805.10502
2018 X. Chen, A. Jüngel Weak-strong uniqueness of renormalized solutions to reaction-cross-diffusion systems arXiv:1805.02950
asc11x2018.pdf
2018 C. Erath, G. Gantner, D. Praetorius Optimal convergence behavior of adaptive FEM driven by simple (h-h/2)-type error estimators [published]
arXiv:1805.00715
asc10x2018.pdf
2018 J.M. Melenk, S. Sauter Wavenumber-explicit hp-FEM analysis for Maxwell's equations with transparent boundary conditions arXiv:1803.01619
asc09x2018.pdf
2018 K. Sturm Topological sensitivities via a Lagrangian approach for semi-linear problems arXiv:1803.00304
2018 E. Daus, A. Jüngel, B. Quoc Tang Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type arXiv:1802.10274
asc08x2018.pdf
2018 F. Achleitner, A. Jüngel, M. Yamamoto Large-time asymptotics of a fractional drift-diffusion-Poisson system via the entropy method arXiv:1802.10272
asc07x2018.pdf
2018 F. Achleitner, A. Arnold, B. Signorello On optimal decay estimates for ODEs and PDEs with modal decomposition [published]
arXiv:1802.00767
asc04x2018.pdf
2018 J.M. Melenk, C. Rojik On commuting $p$-version projection-based interpolation on tetrahedra (extended version) arXiv:1802.00197
asc05x2018.pdf
2018 C. Cancès, C. Chainais-Hillairet, A. Gerstenmayer, A. Jüngel Convergence of a finite-volume scheme for a degenerate cross-diffusion model for ion transport arXiv:1801.09408
asc06x2018.pdf
2018 L. Brugnano, G. Gurioli, F. Iavernaro, E. Weinmüller Line integral solution of Hamiltonian systems with holonomic constraints arXiv:1704.08128
asc03x2018.pdf
2017 M. Tung, E. Weinmüller Metamaterial Acoustics on the (2+1)D Schwarzschild Plane [published]
arXiv:asc33x2017
2017 J. Gambi, M. Garcia del Pino, J. Gschwindl, E. Weinmüller Post-Newtonian equations of motion for LEO debris objects and space-based Acquisition, Pointing and Tracking laser systems arXiv:asc32x2017
2017 J. Burkotova, I. Rachunkova, E. Weinmüller On singular BVPs with unsmooth data: Analysis of the linear case with variable coefficient matrix arXiv:asc31x2017
2017 J. Burkotova, I. Rachunkova, E. Weinmüller On singular BVPs with unsmooth data. Part 2: Convergence of the collocation schemes arXiv:asc30x2017
2017 G. Kitzler, J. Schöberl A polynomial spectral method for the spatially homogeneous Boltzmann equation in 3 dimensions arXiv:asc28x2017
2017 M. Braukhoff Semiconductor Boltzmann-Dirac-Benny equation with BGK-type collicion operator: existence of solutions vs. ill-posedness arXiv:asc25x2017
2017 M. Fallahpour, S. McKee, E. Weinmüller Numerical simulation of flow in liquid crystals using MATLAB software arXiv:asc24x2017
2017 K. Hollaus, J. Schöberl Some two-dimensional multiscale finite element formulations for the eddy current problem in iron laminates arXiv:asc21x2017
2017 A. Jüngel Cross-diffusion systems with entropy structure arXiv:asc19x2017
2017 A. Arnold, A. Einav, T. Wöhrer On the rates of decay to equilibrium in degenerate and defective Fokker-Plnack equations [published]
arXiv:asc18x2017
2017 H. de Snoo, H. Woracek The Krein formula in almost Pontryagin spaces. A proof via orthogonal coupling arXiv:asc15x2017
2017 W. Auzinger, I. Brezinova, H. Hofstätter, O. Koch, M. Quell Practical Splitting Methods for the Adaptive Integration of Nonlinear Evolution Equations. Part II: Comparison of Local Error Estimation and Step-Selection Strategies for Nonlinear Schrödinger and Wave Equations arXiv:asc14x2017
2017 X. Chen, A. Jüngel A note on the uniqueness of weak solutions to a class of cross-diffusion styles arXiv:asc11x2017
2017 M. Bulicek, M. Pokorny, N. Zamponi Existence analysis for incompressible fluid model of electronically charged chemically reasting and heat conducting mixtures arXiv:asc04x2017
2017 C. Erath, D. Praetorius Céa-type quasi-optimality and convergence rates for (adaptive) vertex-centered FVM [published]
arXiv:asc01x2017
2017 S. Sokolova, H. Woracek Proper semirings and proper convex functors arXiv:1802.07830 
asc22x2017.pdf
2017 G. Hrkac, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, A. Segatti, B. Stiftner Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics [published]
arXiv:1712.03795
asc29x2017.pdf
2017 G. Di Fratta, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, B. Stiftner Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation [published]
arXiv:1711.10715 
asc27x2017.pdf
2017 F. Achleitner, A. Arnold, E. Carlen On multi-dimensional hypocoercive BGK models [published]
[pdf]
arXiv:1711.07360
asc26x2017.pdf
2017 X. Chen, A. Jüngel Global renormalized solutions to reaction-cross-diffusion systems arXiv:1711.01463
asc23x2017.pdf
2017 D. Kalise, K. Kunisch, K. Sturm Optimal actuator placement and shaping based on shape calculus arXiv:1711.01183
2017 S. Sokolova, H. Woracek Termination in Convex Sets of Distributions arXiv:1710.10402
asc07x2017.pdf
2017 J. A. Iglesias, K. Sturm,  F. Wechsung Shape optimization via nearly conformal transformations arXiv:1710.06496
2017 E. Daus, L. Desvillettes, A. Jüngel Cross-diffusion systems and fast-reaction limits arXiv:1710.03590
asc20x2017.pdf
2017 C. Erath, D. Praetorius Adaptive vertex-centered finite volume methods for general second-order linear elliptic PDEs [published]
arXiv:1709.07181
asc17x2017.pdf
2017 A. Jüngel, O. Leingang Blow-up of solutions to semi-discrete parabolic-elliptic Keller-Segel models arXiv:1709.03931
asc16x2017.pdf
2017 L. Banjai, J.M. Melenk, R. Nochetto, E. Otarola, A. Salgado, C. Schwab Tensor FEM for spectral fractional diffusion arXiv:1707.07367 
asc13x2017.pdf
2017 A. Gerstenmayer, A. Jüngel Analysis of a degenerate parabolic cross-diffusion system for ion transport arXiv:1706.07261
asc10x2017.pdf
2017 A. Paganini, K. Sturm Weakly-normal basis vector fields in RKHS with an application to shape newton methods arXiv:1705.08463
2017 M. Löhndorf, J.M. Melenk On thin plate spline interpolation arXiv:1705.05178
asc09x2017.pdf
2017 R. Pruckner Density of the spectrum of Jacobi matrices with power asymptotics arXiv:1704.06789
asc08x2017.pdf
2017 T. Führer, D. Praetorius A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems [published]
arXiv:1703.10796
asc06x2017.pdf
2017 S. Börm, C. Börst, J.M. Melenk An analysis of a butterfly algorithm arXiv:1703.01941
asc12x2017.pdf
2017 M. Faustmann, J.M. Melenk Local convergence of the boundary element method on polyhedral domains arXiv:1702.04224 
asc03x2017.pdf
2017 A. Jüngel, S. Schuchnigg A discrete Bakry-Emery method and its application to the porous-medium equation arXiv:1702.03780
asc05x2017.pdf
2017 G. Gantner, D. Haberlik, D. Praetorius Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines [published]
arXiv:1701.07764
asc02x2017.pdf
2016 J. Burkotova, M. Hubner, I. Rachunkova, E. Weinmüller Asymptotic properties of Kneser solutions to nonlinear second order ODEs with regularly varying coefficients arXiv:asc30x2016
2016 J. Gambi, M. Garcia del Pino, J. Gschwindl, E. Weinmüller Post-Newtonian Corrections to the Newtonian Predictions for the Motion of Designated Targets with respect to Space Based APT Laser Systems arXiv:asc29x2016
2016 M. Eigel, K. Sturm Reproducing kernel Hilbert spaces and variable metric algorithms in PDE-constrained shape optimization arXiv:1604.05017
2016 K. Sturm A structure theorem for shape functions defined on submanifolds arXiv:1604.04840
2016 K. Sturm Shape optimization with nonsmooth cost functions: from theory to numerics arXiv:1603.08235
2016 C. Heinemann, K. Sturm Shape optimization for a class of semilinear variational inequalities with applications to damage models arXiv:1601.04136
2015 A. Laurain, K. Sturm Distributed shape derivative via averaged adjoint method and applications arXiv:1509.01816
2015 P. Gangl, U. Langer, A. Laurain, H. Meftahi, K. Sturm Shape optimization of an electric motor subject to nonlinear magnetostatics arXiv:1501.04752
2015 M. C. Delfour, K. Sturm Parametric semidifferentiability of minimax of Lagrangians: averaged adjoint state approach [pdf]
2015 M. Hintermüller, D. Hömberg, K. Sturm Distortion compensation as a shape optimisation problem for a sharp interface model [pdf]