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
1Niederkofler, David ; Feischl, Michael ; Henríquez, Fernando Optimal adaptive time stepping for evolution problemsPresentation Vortrag24-Mar-2026
2Schneider, Fabian Score Based Diffusion Models for Bayesian Inverse ProblemsPresentation Vortrag12-Feb-2026
3Schneider, 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
4Paraschis, Panagiotis hp-Version discontinuous Galerkin methods for the p-LaplacianPresentation Vortrag19-Dec-2025
5Angelidis, Paschalis ; Rieder, Alexander Full discretization of the propagation of acoustic waves with nonlinearities in unbounded domainsPresentation Vortrag19-Dec-2025
6Faustmann, Markus FEM-BEM coupling - matrix compression and application in fractional diffusionPresentation Vortrag4-Dec-2025
7Zehetgruber, Fabian Kleon ; Feischl, Michael Computational Math with Neural Networks is HardPresentation Vortrag4-Dec-2025
8Wörgötter, David ; Melenk, Jens Markus Quasi-optimality of hp-FEM solutions of high-frequency Maxwell equationsPresentation Vortrag28-Nov-2025
9Praetorius, Dirk Optimal interplay of adaptive mesh-refinement and iterative solvers for nonlinear elliptic PDEsPresentation Vortrag14-Nov-2025
10Schneider, Fabian ; Duc-Lam Duong ; Lassas, Matti ; de Hoop, Maarten V. ; Helin, Tapio Diffusion models in infinite dimensions for CT–imagingPresentation Vortrag7-Nov-2025
11Baeck, 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
12Schneider, 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
13Sturm, Kevin The first and second order topological state derivative with applications to Netwon-type algorithms and a Dirichlet control problemInproceedings Konferenzbeitrag29-Oct-2025
14Henriquez Barraza, Fernando Jose Shape Holomorphy of Boundary Integral Operators with Applications to Uncertainty QuantificationPresentation Vortrag22-Oct-2025
15Bringmann, Philipp ; Praetorius, Dirk Global convergence of adaptive least-squares finite element methods for nonlinear PDEsPresentation Vortrag17-Oct-2025
16Melenk, Jens Markus ; Bahr, Björn ; Faustmann, Markus ; Marcati, Carlo ; Schwab, Christian hp-FEM for the integral fractional LaplacianPresentation Vortrag10-Oct-2025
17Praetorius, Dirk Adaptive Finite Element Methods: Optimal Rates vs. Optimal ComplexityPresentation Vortrag25-Sep-2025
18Praetorius, Dirk Adaptive Finite Element Methods: Optimal Rates vs. Optimal ComplexityInproceedings Konferenzbeitrag25-Sep-2025
19Feischl, Michael Optimal adaptive timesteppingPresentation Vortrag19-Sep-2025
20Melenk, Jens Markus High order methods for singular perturbationsPresentation Vortrag18-Sep-2025
21Zehetgruber, Fabian Kleon Iterative Approximation of Solution Operators for PDEs with Neural NetworksPresentation Vortrag9-Sep-2025
22Melenk, Jens Markus ; Bahr, Björn ; Faustmann, Markus ; Marcati, Carlo ; Schwab, Christoph hp-FEM for the integral fractional LaplacianInproceedings Konferenzbeitrag4-Sep-2025
23Brunner, Maximilian On optimal adaptivity for semilinear PDEsPresentation Vortrag3-Sep-2025
24Bringmann, Philipp ; Praetorius, Dirk Global convergence of adaptive least-squares finite element methods for nonlinear PDEsInproceedings Konferenzbeitrag2-Sep-2025
25Schedensack, Mira ; Bringmann, Philipp ; Ketteler, Jonas Discrete Helmholtz decompositionsInproceedings Konferenzbeitrag1-Sep-2025
26Osborne, Conor Nelson Convergence rates of deep Gaussian processesInproceedings Konferenzbeitrag1-Sep-2025
27Lin, 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
28Feischl, Michael ; Rieder, Alexander ; Zehetgruber, Fabian Kleon Towards optimal hierarchical training of neural networksArticle Artikel 22-Aug-2025
29Melenk, Jens Markus hp-FEM for the integral fractional Laplacian: quadraturePresentation Vortrag18-Jul-2025
30Feischl, Michael Fundamental order bounds for numerical algorithms on Neural NetworksPresentation Vortrag17-Jul-2025
31Zehetgruber, Fabian Kleon Iterative Approximation of Solution Operators for PDEs with Neural NetworksPresentation Vortrag14-Jul-2025
32Feischl, Michael Towards Optimal Hierarchical Training of Neural NetworksPresentation Vortrag14-Jul-2025
33Henriquez Barraza, Fernando Jose Model Order Reduction for the Space-Time Boundary Element Formulation of the Heat EquationPresentation Vortrag14-Jul-2025
34Sturm, Kevin A multimaterial topology optimisation approach to Dirichlet control with piecewise constant functionsPresentation Vortrag7-Jul-2025
35Melenk, Jens Markus ; Bahr, Björn ; Faustmann, Markus hp-FEM for the integral fractional Laplacian: quadratureInproceedings Konferenzbeitrag26-Jun-2025
36Alde, 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
37Miraci, 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
38Baeck, 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
39Wörgötter, David ; Melenk, Jens Markus Wavenumber-explicit hp-FEM analysis of Maxwell's equations in piecewise smooth mediaInproceedings Konferenzbeitrag24-Jun-2025
40Faustmann, Markus ; Rieder, Alexander FEM-BEM Coupling in Fractional DiffusionPresentation Vortrag19-Jun-2025
41Feischl, Michael ; Niederkofler, David ; Wohlmuth, Barbara Well-Posedness of Fully Discrete Fractional Elasto-PlasticityInproceedings Konferenzbeitrag19-Jun-2025
42Melenk, Jens Markus ; Banjai, Lehel ; Hölzl, A. ; Rieder, Alexander ; Schwab, Christoph hp-FEM for the spectral fractional Laplacian in polygonsPresentation Vortrag19-Jun-2025
43Bahr, Björn ; Marcati, Carlo ; Faustmann, Markus ; Melenk, Jens Markus ; Schwab, Christian High Order Methods for Fractional DiffusionInproceedings Konferenzbeitrag18-Jun-2025
44Achleitner, Franz ; Kühn, Christian ; Melenk, Jens Markus ; Rieder, Alexander Numerical treatment of Riesz-Feller operators using hp-FEMInproceedings Konferenzbeitrag17-Jun-2025
45Feischl, Michael Optimal adaptivity for time dependent problemsPresentation Vortrag10-Jun-2025
46Bespalov, Alex ; Praetorius, Dirk ; Round, Thomas ; Savinov, Andrey Goal-Oriented Error Estimation and Adaptivity for Stochastic Collocation FEMArticle Artikel Jun-2025
47Niederkofler, David Well-Posedness of Discretizations for Fractional Elasto-PlasticityPresentation Vortrag24-May-2025
48Feischl, Michael Optimal convergence rates in the context of neural networksPresentation Vortrag14-May-2025
49Miraci, Ani ; Praetorius, Dirk ; Streitberger, Julian Unconditional full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEsInproceedings Konferenzbeitrag9-May-2025
50Wörgötter, David ; Melenk, Jens Markus Wavenumber-explicit hp-FEM analysis of Maxwell’s equations in piecewise smooth mediaInproceedings Konferenzbeitrag9-May-2025
51Freiszlinger, Alexander ; Pauly, Dirk ; Praetorius, Dirk Convergence of adaptive BEM driven by functional error estimatesInproceedings Konferenzbeitrag9-May-2025
52Henriquez Barraza, Fernando Jose ; Hesthaven, Jan S. Model Order Reduction for Time-Dependent Problems Using the Laplace TransformInproceedings Konferenzbeitrag8-May-2025
53Henriquez Barraza, Fernando Jose Fast Solution of the Wave Equation Using Model Order Reduction and the Laplace TransformInproceedings Konferenzbeitrag9-Apr-2025
54Bringmann-2024-Foundations of Computational Mathematics-vor.pdf.jpgBringmann, Philipp ; Ketteler, Jonas ; Schedensack, Mira Discrete Helmholtz Decompositions of Piecewise Constant and Piecewise Affine Vector and Tensor FieldsArticle Artikel Apr-2025
55Melenk, Jens Markus ; Bahr, Björn ; Faustmann, Markus ; Marcati, Carlo ; Schwab, Christoph hp-FEM for the integral fractional Laplacian: quadratureInproceedings Konferenzbeitrag20-Mar-2025
56Arnold-2025-Journal of Computational and Applied Mathematics-vor.pdf.jpgArnold, Anton ; Klein, Christian ; Körner, Jannis ; Melenk, Jens Markus Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regimeArticle Artikel 15-Mar-2025
57Brunner-2025-Numerische Mathematik-vor.pdf.jpgBrunner, Maximilian ; Praetorius, Dirk ; Streitberger, Julian Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEsArticle Artikel 12-Mar-2025
58Bringmann, Philipp ; Feischl, Michael ; Miraci, Ani ; Praetorius, Dirk ; Streitberger, Julian On full linear convergence and optimal complexity of adaptive FEM with inexact solverArticle Artikel 15-Feb-2025
59Rieder, Alexander ; Zank, Marco The p-version of convolution quadrature in wave propagationInproceedings KonferenzbeitragFeb-2025
60Alde, Michele ; Feischl, Michael ; Praetorius, Dirk BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagneticsPresentation Vortrag30-Jan-2025
61Sturm, Kevin A multimaterial topology optimisation approach to Dirichlet control with piecewise constant functionsPreprint Preprint22-Jan-2025
62Melenk, Jens Markus Mortar coupling of hp-FEM and hp-BEM for the Helmholtz equationInproceedings Konferenzbeitrag20-Jan-2025
63Karkulik, Michael ; Melenk, Jens Markus ; Rieder, Alexander On interpolation spaces of piecewise polynomials on mixed meshesArticle Artikel Jan-2025
64Bernkopf, Maximilian ; Chaumont-Frelet, Theophile ; Melenk, Jens Markus Wavenumber-explicit stability and convergence analysis of ℎ𝑝 finite element discretizations of Helmholtz problems in piecewise smooth mediaArticle Artikel Jan-2025
65Melenk, Jens M. ; Demkowicz, Leszek ; Henneking, Stefan Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic WaveguidesArticle Artikel 2025
66Faustmann, Markus ; Marcati, Carlo ; Melenk, Jens Markus ; Schwab, Christoph Weighted analytic regularity for the integral fractional Laplacian in polyhedraArticle Artikel 2025
67Rieder, Alexander A P-Version of Convolution Quadrature in Wave PropagationArticle Artikel 2025
68Feischl, Michael ; Zehetgruber, Fabian Kleon Computational Math with Neural Networks is HardArticle Artikel 2025
69Bringmann, Philipp Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methodsArticle Artikel 2025
70Bringmann-2024-Journal of Numerical Mathematics-vor.pdf.jpgBringmann, Philipp ; Brunner, Maximilian ; Praetorius, Dirk ; Streitberger, Julian Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEsArticle Artikel 2025
71Miraci, Ani Iterative solvers and optimal complexity of adaptive finite element methodsPresentation Vortrag17-Dec-2024
72Bahr-2024-COMPUTERS  MATHEMATICS WITH APPLICATIONS-vor.pdf.jpgBahr, Björn ; Faustmann, Markus ; Melenk, Jens Markus An implementation of hp-FEM for the fractional LaplacianArticle Artikel 15-Dec-2024
73Zehetgruber, Fabian Kleon Iterative Construction of Neural NetworksPresentation Vortrag9-Dec-2024
74Bringmann, Philipp Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methodsPresentation Vortrag9-Dec-2024
75Faustmann, Markus ; Rieder, Alexander FEM-BEM coupling in fractional DiffusionPresentation Vortrag5-Dec-2024
76Melenk-2024-Foundations of Computational Mathematics-vor.pdf.jpgMelenk, Jens Markus ; Sauter, S A Wavenumber-Explicit hp-FEM Analysis for Maxwell's Equations with Impedance Boundary ConditionsArticle Artikel Dec-2024
77Faustmann, Markus Quantum Computing - ein Quantensprung?Presentation Vortrag7-Nov-2024
78Bernkopf-2024-COMPUTERS  MATHEMATICS WITH APPLICATIONS-vor.pdf.jpgBernkopf, Maximilian ; Melenk, J.M. Optimal convergence rates in L² for a first order system least squares finite element method - part II: Inhomogeneous Robin boundary conditionsArticle Artikel 1-Nov-2024
79Melenk, Jens Markus ; Nick, Jörg Parsimonious convolution quadraturePreprint Preprint19-Oct-2024
80Bringmann-2024-COMPUTERS  MATHEMATICS WITH APPLICATIONS-vor.pdf.jpgBringmann, Philipp Review and computational comparison of adaptive least-squares finite element schemesArticle Artikel 15-Oct-2024
81Zank, Marco Space-time BEM for the wave equation for flat objectsPresentation Vortrag28-Sep-2024
82Melenk, Jens Markus ; Rojik, Claudio A note on the shift theorem for the Laplacian in polygonal domains (extended version)Preprint Preprint25-Sep-2024
83Scaglioni, Andrea ; An, Xin ; Dick, Josef ; Feischl, Michael ; Tran, Thanh ; Scaglioni, Andrea Sparse grid approximation of the stochastic Landau-Lifshitz-Gilbert equationPresentation Vortrag11-Sep-2024
84Bringmann, Philipp ; Feischl, Michael ; Miraci, Ani ; Praetorius, Dirk ; Streitberger, Julian On full linear convergence and optimal complexity of adaptive FEM with inexact solverInproceedings Konferenzbeitrag10-Sep-2024
85Feischl, Michael Stochastic collocation for dynamic micromagnetismInproceedings Konferenzbeitrag19-Aug-2024
86Bringmann, Philipp ; Feischl, Michael ; Miraci, Ani ; Praetorius, Dirk ; Streitberger, Julian On full linear convergence and optimal complexity of adaptive FEM with inexact solverPresentation Vortrag8-Aug-2024
87Praetorius, Dirk ; Kurz, Stefan ; Pauly, Dirk ; Repin, Sergey ; Sebastian, Daniel ; Freiszlinger, Alexander Functional a-posteriori error estimates for BEMPresentation Vortrag8-Aug-2024
88Lin, C. ; Melenk, Jens Markus ; Sauter, S. The Green`s function for an acoustic, half-space impedance problem Part II: Analysis of the slowly varying and the plane wave componentPreprint Preprint7-Aug-2024
89Lin, C. ; Melenk, Jens Markus ; Sauter, S. The Green`s function for an acoustic half-space problem with impedance boundary conditions Part I: Representation formulaPreprint Preprint6-Aug-2024
90Bernkopf, Maximilian ; Melenk, Jens Markus Optimal convergence rates in L² for a first order system least squares finite element method -- Part II: inhomogeneous Robin boundary conditionsPreprint Preprint19-Jul-2024
91Feischl, Michael Numerics of the stochastic Landau-Lifshitz-Gilbert equationInproceedings Konferenzbeitrag19-Jul-2024
92Bahr-2024-An implementation of hp-FEM for the fractional Laplacian-smur.pdf.jpgBahr, Björn ; Faustmann, Markus ; Melenk, Jens Markus An implementation of hp-FEM for the fractional LaplacianPreprint Preprint 16-Jul-2024
93Bringmann, Philipp Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methodsPresentation Vortrag25-Jun-2024
94Bringmann, Philipp ; Brunner, Maximilian ; Praetorius, Dirk ; Streitberger, Julian Cost-optimal goal-oriented adaptive FEM with nested iterative solversInproceedings Konferenzbeitrag14-Jun-2024
95Freiszlinger, Alexander ; Praetorius, Dirk Convergence of adaptive multilevel stochastic Galerkin FEM for parametric PDEsInproceedings Konferenzbeitrag14-Jun-2024
96Praetorius, Dirk ; Bringmann, Philipp ; Gantner, Gregor ; Miraci, Ani ; Streitberger, Julian Optimal interplay of adaptive mesh-refinement and iterative solvers for elliptic PDEsInproceedings Konferenzbeitrag14-Jun-2024
97Rieder, Alexander A p-version of convolution quadrature in wave propagationInproceedings Konferenzbeitrag13-Jun-2024
98Bringmann, Philipp Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methodsInproceedings Konferenzbeitrag13-Jun-2024
99Feischl, Michael ; Gerencser, Mate Adaptive approximation of nonlinear stochastic processesInproceedings Konferenzbeitrag10-Jun-2024
100Bahr, Björn ; Marcati, Carlo ; Faustmann, Markus ; Melenk, Jens Markus ; Schwab, Christoph hp-FEM for the integral fractional Laplacian in polygonsInproceedings Konferenzbeitrag10-Jun-2024