Forschungsbereich Numerik

Organization Name (de) Name der Organisation (de)
E101-02 - Forschungsbereich Numerik
 
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E101-02
 
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Research Division
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PreviewAuthor(s)TitleTypeIssue Date
1Brunner, Maximilian ; Freiszlinger, Alexander ; Pauly, Dirk ; Praetorius, Dirk Optimal convergence of adaptive BEM driven by functional-type error estimatorsPreprint Preprint5-Aug-2026
2Bringmann, Philipp ; Praetorius, Dirk Global convergence of adaptive least-squares finite element methods for nonlinear PDEsPresentation Vortrag28-Jul-2026
3Achleitner, Franz ; Kühn, Christian ; Melenk, J.M. ; Rieder, Alexander Numerical treatment of Riesz-Feller operators using hp-FEMPresentation Vortrag23-Jul-2026
4Faustmann, Markus ; Melenk, Jens Markus ; Bahr, Björn High-precision quadrature for the integral fractional LaplacianPresentation Vortrag23-Jul-2026
5Hilbert, Paula ; Führer, Thomas ; Miraçi, Ani ; Praetorius, Dirk Adaptive finite element methods with optimally preconditioned GMRESPresentation Vortrag23-Jul-2026
6Alde, Michele ; Praetorius, Dirk ; Feischl, Michael Weak and strong convergence of a BDF2-type integrator for the Landau–Lifshitz–Gilbert equation in micromagneticsPresentation Vortrag23-Jul-2026
7Bringmann, Philipp ; Praetorius, Dirk Global convergence of adaptive least-squares finite element methods for nonlinear PDEsPresentation Vortrag23-Jul-2026
8Brunner, Maximilian ; Becker, Roland ; Hilbert, Paula ; Innerberger, Michael ; Praetorius, Dirk Multigoal-oriented adaptive finite element methods with convergence ratesPresentation Vortrag20-Jul-2026
9Tomar, Aditi ; Bringmann, Philipp ; Miraçi, Ani ; Praetorius, Dirk Goal-Oriented Adaptive Mixed FEMPresentation Vortrag20-Jul-2026
10Bringmann, Philipp ; Dadic, Aleksandar ; Ferloni, Dario ; Gantner, Gregor ; Praetorius, Dirk ; Streitberger, Julian Optimal complexity of adaptive FEM for second-order linear elliptic PDEs driven by non-residual estimators, Part I: Symmetric PDEsPreprint Preprint17-Jul-2026
11Becker, Roland ; Brunner, Maximilian ; Hilbert, Paula ; Innerberger, Michael ; Praetorius, Dirk Multigoal-oriented AFEM with convergence ratesPresentation Vortrag16-Jul-2026
12Bringmann, Philipp ; Brunner, Maximilian ; Praetorius, Dirk A happy marriage: Adaptive FEM ⚭ NewtonPresentation Vortrag16-Jul-2026
13Bringmann, Philipp ; Lietz, Christoph ; Praetorius, Dirk Unconditional full linear convergence and quasi-optimal complexity of smoothed adaptive finite element methodsPresentation Vortrag16-Jul-2026
14Praetorius, Dirk Adaptive finite element methods with optimally preconditioned GMRESPresentation Vortrag16-Jul-2026
15Bringmann, Philipp ; Praetorius, Dirk Global convergence of adaptive least-squares finite element methods for nonlinear PDEsPresentation Vortrag16-Jul-2026
16Schneider, Fabian ; Helin, Tapio ; Taghizadeh, Leila Score-Based Diffusion Models for Bayesian Inverse Problems in Medical ImagingPresentation Vortrag13-Jul-2026
17Schneider, Fabian ; Helin, Tapio ; Taghizadeh, Leila A Convex Approximation Framework for Neural Likelihood-Based Bayesian Inverse ProblemsPreprint Preprint7-Jul-2026
18Paraschis, Panagiotis hp-Version robust interior penalty discontinuous Galerkin methods for the p-LaplacianPresentation Vortrag2-Jul-2026
19Melenk, Jens Markus ; Wörgötter, David ; Bernkopf, Maximilian ; Chaumont-Frelet, Théophile ; Sauter, S. hp-FEM for Maxwell's equations in piecewise smooth mediaPresentation Vortrag2-Jul-2026
20Feischl, Michael ; Henríquez, Fernando ; Niederkofler, David Optimal Time-Adaptivity for Parabolic Problems with applications to Model Order ReductionPresentation Vortrag2-Jul-2026
21Rieder, Alexander ; Angelidis, Paschalis Time dependent acoustic scattering in full space from penetrable objects with nonlinearitiesPresentation Vortrag30-Jun-2026
22Schneider, Fabian Score-Based Diffusion Models for Bayesian Inverse Problems in Medical ImagingPresentation Vortrag24-Jun-2026
23Angelidis, Paschalis ; Melenk, Jens Markus ; Rieder, Alexander Time dependent acoustic scattering from penetrable objects with nonlinearitiesPresentation Vortrag22-Jun-2026
24Bringmann, Philipp ; Lietz, Christoph ; Praetorius, Dirk Unconditional full linear convergence and quasi-optimal complexity of smoothed adaptive finite element methodsPresentation Vortrag19-Jun-2026
25Freiszlinger, Alexander ; Pauly, Dirk ; Praetorius, Dirk Convergence of adaptive boundary element methods driven by functional a posteriori error estimatesPreprint Preprint12-Jun-2026
26Taghizadeh, Leila ; Schneider, Fabian A Markov chain Monte Carlo approach for Bayesian inverse problems with limited dataInproceedings Konferenzbeitrag1-Jun-2026
27Brunner, Maximilian Adaptivity mattersArticle ArtikelJun-2026
28Melenk, Jens Markus ; Wörgötter, David ; Bernkopf, Maximilian ; Chaumont-Frelet, Théophile ; Sauter, S. hp-FEM for Maxwell's equations in piecewise smooth mediaPresentation Vortrag27-May-2026
29Brunner, Maximilian ; Gantner, Gregor ; Lietz, Christoph ; Praetorius, Dirk Quasi-optimal complexity of iterative Galerkin methods driven by an elliptic reconstruction error estimatorPreprint Preprint19-May-2026
30Bringmann, Philipp ; Brunner, Maximilian ; Praetorius, Dirk Newton's method in adaptive iteratively linearized FEMPresentation Vortrag8-May-2026
31Aldé, Michele ; Praetorius, Dirk ; Feischl, Michael Weak and strong convergence of a BDF2-type integrator for the Landau-Lifshitz-Gilbert equation in micromagneticsPresentation Vortrag8-May-2026
32Hilbert, Paula ; Führer, Thomas ; Miraci, Ani ; Praetorius, Dirk Adaptive finite element methods with optimally preconditioned GMRESPresentation Vortrag7-May-2026
33Niederkofler, David ; Feischl, Michael ; Henríquez, Fernando Optimal time-adaptivity for parabolic problemsPresentation Vortrag25-Apr-2026
34Angelidis, Paschalis ; Rieder, Alexander ; Melenk, Jens Markus Time dependent acoustic scattering with nonlinearities in full spacePresentation Vortrag25-Apr-2026
35Gräßle, Benedikt Konstantin Inf-sup bounds for semilinear 4th-order problems from nonconforming discretisationsPresentation Vortrag25-Apr-2026
36Führer, Thomas ; Hilbert, Paula ; Miraçi, Ani ; Praetorius, Dirk Adaptive finite element methods with optimally preconditioned GMRES guarantee optimal complexityPreprint Preprint21-Apr-2026
37Hilbert, Paula ; Miraçi, Ani ; Praetorius, Dirk Generalized preconditioned conjugate gradients for adaptive FEM with optimal complexityPreprint Preprint9-Apr-2026
38García-García, Carlos ; Heuer, Norbert ; Praetorius, Dirk Minimum residual discretization of a semilinear elliptic problemPreprint Preprint31-Mar-2026
39Niederkofler, David ; Feischl, Michael ; Henríquez, Fernando Optimal adaptive time stepping for evolution problemsPresentation Vortrag24-Mar-2026
40Becker, Roland ; Brunner, Maximilian ; Hilbert, Paula ; Innerberger, Michael ; Praetorius, Dirk Multigoal-oriented AFEM with convergence ratesPresentation Vortrag24-Mar-2026
41Brunner, Maximilian ; Bringmann, Philipp ; Praetorius, Dirk A happy marriage: Adaptive FEM ⚭ NewtonPresentation Vortrag24-Mar-2026
42Jha, Abhinav ; Karaa, Samir ; Tomar, Aditi Optimal Convergence for the Time-Fractional Allen–Cahn EquationPresentation Vortrag24-Mar-2026
43Praetorius, Dirk Optimal interplay of adaptive mesh-refinement and iterative solvers for nonlinear elliptic PDEsPresentation Vortrag23-Mar-2026
44Jha, Abhinav ; Karaa, Samir ; Tomar, Aditi Non-uniform α-Robust Alikhanov Mixed FEM with Optimal Convergence for the Time-Fractional Allen--Cahn EquationPreprint Preprint12-Mar-2026
45Bringmann, Philipp ; Praetorius, Dirk Global convergence of adaptive least-squares finite element methods for nonlinear PDEsPreprint Preprint21-Feb-2026
46Bringmann, Philipp ; Brunner, Maximilian ; Praetorius, Dirk A happy marriage: Adaptive FEM ⚭ NewtonPresentation Vortrag16-Feb-2026
47Freiszlinger, Alexander ; Pauly, Dirk ; Praetorius, Dirk ; Schomburg, Michael New a posteriori error estimates for full-space transmission problemsPreprint Preprint16-Feb-2026
48Schneider, Fabian Score Based Diffusion Models for Bayesian Inverse ProblemsPresentation Vortrag12-Feb-2026
49Schneider, Fabian ; Mozumder, Meghdoot ; Tamarov, Konstantin ; Taghizadeh, Leila ; Tarvainen, Tanja ; Helin, Tapio ; Duong, Duc Lam Score-based diffusion models for diffuse optical tomography with uncertainty quantificationPreprint Preprint3-Feb-2026
50Beckert, Roland ; Brunner, Maximilian ; Hilbert, Paula ; Innerberger, Michael ; Praetorius, Dirk Multigoal-oriented adaptive finite element method with convergence ratesPreprint Preprint5-Jan-2026
51Bringmann, Philipp ; Lietz, Christoph ; Praetorius, Dirk Unconditional full linear convergence and quasi-optimal complexity of smoothed adaptive finite element methodsPreprint Preprint2026
52Alde, Michele ; Praetorius, Dirk ; Feischl, Michael BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: a-priori error estimatesPreprint Preprint2026
53Bespalov, Alex ; Praetorius, Dirk ; Ruggeri, Michele Goal-Oriented Adaptivity For Multilevel Stochastic Galerkin Fem With Nonlinear Goal FunctionalsArticle Artikel 2026
54Bringmann, Philipp ; Praetorius, Dirk Global Convergence of Adaptive Least-Squares Finite Element Methods for Nonlinear PdesArticle Artikel 2026
55Bringmann, Philipp ; Brunner, Maximilian ; Praetorius, Dirk Newton's method in adaptive iteratively linearized FEMPreprint Preprint22-Dec-2025
56Angelidis, Paschalis ; Rieder, Alexander Full discretization of the propagation of acoustic waves with nonlinearities in unbounded domainsPresentation Vortrag19-Dec-2025
57Paraschis, Panagiotis hp-Version discontinuous Galerkin methods for the p-LaplacianPresentation Vortrag19-Dec-2025
58Faustmann, Markus FEM-BEM coupling - matrix compression and application in fractional diffusionPresentation Vortrag4-Dec-2025
59Zehetgruber, Fabian Kleon ; Feischl, Michael Computational Math with Neural Networks is HardPresentation Vortrag4-Dec-2025
60Wörgötter, David ; Melenk, Jens Markus Quasi-optimality of hp-FEM solutions of high-frequency Maxwell equationsPresentation Vortrag28-Nov-2025
61Praetorius, Dirk Optimal interplay of adaptive mesh-refinement and iterative solvers for nonlinear elliptic PDEsPresentation Vortrag14-Nov-2025
62Schneider, Fabian ; Duc-Lam Duong ; Lassas, Matti ; de Hoop, Maarten V. ; Helin, Tapio Diffusion models in infinite dimensions for CT–imagingPresentation Vortrag7-Nov-2025
63Baeck, Leon ; Blauth, Sebastian ; Leithäuser, Christian ; Pinnau, René ; Sturm, Kevin A Novel Deflation Approach for Topology Optimization and Application for Optimization of Bipolar Plates of Electrolysis CellsArticle Artikel 5-Nov-2025
64Schneider, Fabian ; Duong, Duc-Lam ; Lassas, Matti ; de Hoop, Maarten V. ; Helin, Tapio An Unconditional Representation of the Conditional Score in Infinite Dimensional Linear Inverse ProblemsArticle Artikel Nov-2025
65Sturm, Kevin The first and second order topological state derivative with applications to Netwon-type algorithms and a Dirichlet control problemInproceedings Konferenzbeitrag29-Oct-2025
66Henriquez Barraza, Fernando Jose Shape Holomorphy of Boundary Integral Operators with Applications to Uncertainty QuantificationPresentation Vortrag22-Oct-2025
67Bringmann, Philipp ; Praetorius, Dirk Global convergence of adaptive least-squares finite element methods for nonlinear PDEsPresentation Vortrag17-Oct-2025
68Melenk, Jens Markus ; Bahr, Björn ; Faustmann, Markus ; Marcati, Carlo ; Schwab, Christian hp-FEM for the integral fractional LaplacianPresentation Vortrag10-Oct-2025
69Di Fratta, Giovanni ; Innerberger, Michael ; Praetorius, Dirk ; Slastikov, Valeriy Energy minimization for skyrmions on planar thin filmsPreprint Preprint27-Sep-2025
70Praetorius, Dirk Adaptive Finite Element Methods: Optimal Rates vs. Optimal ComplexityPresentation Vortrag25-Sep-2025
71Praetorius, Dirk Adaptive Finite Element Methods: Optimal Rates vs. Optimal ComplexityInproceedings Konferenzbeitrag25-Sep-2025
72Feischl, Michael Optimal adaptive timesteppingPresentation Vortrag19-Sep-2025
73Melenk, Jens Markus High order methods for singular perturbationsPresentation Vortrag18-Sep-2025
74Zehetgruber, Fabian Kleon Iterative Approximation of Solution Operators for PDEs with Neural NetworksPresentation Vortrag9-Sep-2025
75Melenk, Jens Markus ; Bahr, Björn ; Faustmann, Markus ; Marcati, Carlo ; Schwab, Christoph hp-FEM for the integral fractional LaplacianInproceedings Konferenzbeitrag4-Sep-2025
76Brunner, Maximilian On optimal adaptivity for semilinear PDEsPresentation Vortrag3-Sep-2025
77Bringmann, Philipp ; Praetorius, Dirk Global convergence of adaptive least-squares finite element methods for nonlinear PDEsInproceedings Konferenzbeitrag2-Sep-2025
78Osborne, Conor Nelson Convergence rates of deep Gaussian processesInproceedings Konferenzbeitrag1-Sep-2025
79Schedensack, Mira ; Bringmann, Philipp ; Ketteler, Jonas Discrete Helmholtz decompositionsInproceedings Konferenzbeitrag1-Sep-2025
80Lin, C. ; Melenk, Jens Markus ; Sauter, S. An Explicit Factorization of the Green's Function for an Acoustic Half‐Space Problem with Impedance Boundary Conditions into an Oscillatory Exponential and a Slowly Varying FunctionArticle Artikel Sep-2025
81Feischl, Michael ; Rieder, Alexander ; Zehetgruber, Fabian Kleon Towards optimal hierarchical training of neural networksArticle Artikel 22-Aug-2025
82Melenk, Jens Markus hp-FEM for the integral fractional Laplacian: quadraturePresentation Vortrag18-Jul-2025
83Feischl, Michael Fundamental order bounds for numerical algorithms on Neural NetworksPresentation Vortrag17-Jul-2025
84Zehetgruber, Fabian Kleon Iterative Approximation of Solution Operators for PDEs with Neural NetworksPresentation Vortrag14-Jul-2025
85Feischl, Michael Towards Optimal Hierarchical Training of Neural NetworksPresentation Vortrag14-Jul-2025
86Henriquez Barraza, Fernando Jose Model Order Reduction for the Space-Time Boundary Element Formulation of the Heat EquationPresentation Vortrag14-Jul-2025
87Sturm, Kevin A multimaterial topology optimisation approach to Dirichlet control with piecewise constant functionsPresentation Vortrag7-Jul-2025
88Melenk, Jens Markus ; Bahr, Björn ; Faustmann, Markus hp-FEM for the integral fractional Laplacian: quadratureInproceedings Konferenzbeitrag26-Jun-2025
89Alde, Michele ; Feischl, Michael ; Praetorius, Dirk Weak and strong convergence of a BDF2-type integrator for the Landau–Lifshitz–Gilbert equation in micromagneticsInproceedings Konferenzbeitrag26-Jun-2025
90Miraci, Ani ; Innerberger, Michael ; Papež, Jan ; Praetorius, Dirk ; Streitberger, Julian ; Vohralík, Martin High-order robust iterative solvers and optimal complexity of adaptive FEMInproceedings Konferenzbeitrag26-Jun-2025
91Baeck, Leon ; Blauth, Sebastian ; Leithäuser, Christian ; Pinnau, René ; Sturm, Kevin A Novel Deflation Approach for Topology Optimization and Application for Optimization of Bipolar Plates of Electrolysis CellsPreprint Preprint25-Jun-2025
92Wörgötter, David ; Melenk, Jens Markus Wavenumber-explicit hp-FEM analysis of Maxwell's equations in piecewise smooth mediaInproceedings Konferenzbeitrag24-Jun-2025
93Faustmann, Markus ; Rieder, Alexander FEM-BEM Coupling in Fractional DiffusionPresentation Vortrag19-Jun-2025
94Feischl, Michael ; Niederkofler, David ; Wohlmuth, Barbara Well-Posedness of Fully Discrete Fractional Elasto-PlasticityInproceedings Konferenzbeitrag19-Jun-2025
95Melenk, Jens Markus ; Banjai, Lehel ; Hölzl, A. ; Rieder, Alexander ; Schwab, Christoph hp-FEM for the spectral fractional Laplacian in polygonsPresentation Vortrag19-Jun-2025
96Bahr, Björn ; Marcati, Carlo ; Faustmann, Markus ; Melenk, Jens Markus ; Schwab, Christian High Order Methods for Fractional DiffusionInproceedings Konferenzbeitrag18-Jun-2025
97Achleitner, Franz ; Kühn, Christian ; Melenk, Jens Markus ; Rieder, Alexander Numerical treatment of Riesz-Feller operators using hp-FEMInproceedings Konferenzbeitrag17-Jun-2025
98Feischl, Michael Optimal adaptivity for time dependent problemsPresentation Vortrag10-Jun-2025
99Bespalov, Alex ; Praetorius, Dirk ; Round, Thomas ; Savinov, Andrey Goal-Oriented Error Estimation and Adaptivity for Stochastic Collocation FEMArticle Artikel Jun-2025
100Niederkofler, David Well-Posedness of Discretizations for Fractional Elasto-PlasticityPresentation Vortrag24-May-2025