Forschungsgruppe Computational Mathematics

Organization Name (de) Name der Organisation (de)
E101-02-1 - Forschungsgruppe Computational Mathematics
 
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E101-02-1
 
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Results 1-97 of 97 (Search time: 0.001 seconds).

PreviewAuthors / EditorsTitleTypeIssue Date
1Angelidis, Paschalis ; Rieder, Alexander ; Melenk, Jens Markus Time dependent acoustic scattering with nonlinearities in full spacePresentation Vortrag25-Apr-2026
2Angelidis, Paschalis ; Rieder, Alexander Full discretization of the propagation of acoustic waves with nonlinearities in unbounded domainsPresentation Vortrag19-Dec-2025
3Wörgötter, David ; Melenk, Jens Markus Quasi-optimality of hp-FEM solutions of high-frequency Maxwell equationsPresentation Vortrag28-Nov-2025
4Melenk, Jens Markus ; Bahr, Björn ; Faustmann, Markus ; Marcati, Carlo ; Schwab, Christian hp-FEM for the integral fractional LaplacianPresentation Vortrag10-Oct-2025
5Melenk, Jens Markus High order methods for singular perturbationsPresentation Vortrag18-Sep-2025
6Melenk, Jens Markus ; Bahr, Björn ; Faustmann, Markus ; Marcati, Carlo ; Schwab, Christoph hp-FEM for the integral fractional LaplacianInproceedings Konferenzbeitrag4-Sep-2025
7Lin, 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
8Feischl, Michael ; Rieder, Alexander ; Zehetgruber, Fabian Kleon Towards optimal hierarchical training of neural networksArticle Artikel 22-Aug-2025
9Melenk, Jens Markus hp-FEM for the integral fractional Laplacian: quadraturePresentation Vortrag18-Jul-2025
10Melenk, Jens Markus ; Bahr, Björn ; Faustmann, Markus hp-FEM for the integral fractional Laplacian: quadratureInproceedings Konferenzbeitrag26-Jun-2025
11Wörgötter, David ; Melenk, Jens Markus Wavenumber-explicit hp-FEM analysis of Maxwell's equations in piecewise smooth mediaInproceedings Konferenzbeitrag24-Jun-2025
12Faustmann, Markus ; Rieder, Alexander FEM-BEM Coupling in Fractional DiffusionPresentation Vortrag19-Jun-2025
13Melenk, Jens Markus ; Banjai, Lehel ; Hölzl, A. ; Rieder, Alexander ; Schwab, Christoph hp-FEM for the spectral fractional Laplacian in polygonsPresentation Vortrag19-Jun-2025
14Bahr, Björn ; Marcati, Carlo ; Faustmann, Markus ; Melenk, Jens Markus ; Schwab, Christian High Order Methods for Fractional DiffusionInproceedings Konferenzbeitrag18-Jun-2025
15Achleitner, Franz ; Kühn, Christian ; Melenk, Jens Markus ; Rieder, Alexander Numerical treatment of Riesz-Feller operators using hp-FEMInproceedings Konferenzbeitrag17-Jun-2025
16Wörgötter, David ; Melenk, Jens Markus Wavenumber-explicit hp-FEM analysis of Maxwell’s equations in piecewise smooth mediaInproceedings Konferenzbeitrag9-May-2025
17Melenk, Jens Markus ; Bahr, Björn ; Faustmann, Markus ; Marcati, Carlo ; Schwab, Christoph hp-FEM for the integral fractional Laplacian: quadratureInproceedings Konferenzbeitrag20-Mar-2025
18Arnold-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
19Rieder, Alexander ; Zank, Marco The p-version of convolution quadrature in wave propagationInproceedings KonferenzbeitragFeb-2025
20Melenk, Jens Markus Mortar coupling of hp-FEM and hp-BEM for the Helmholtz equationInproceedings Konferenzbeitrag20-Jan-2025
21Karkulik, Michael ; Melenk, Jens Markus ; Rieder, Alexander On interpolation spaces of piecewise polynomials on mixed meshesArticle Artikel Jan-2025
22Bernkopf, 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
23Melenk, Jens M. ; Demkowicz, Leszek ; Henneking, Stefan Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic WaveguidesArticle Artikel 2025
24Faustmann, Markus ; Marcati, Carlo ; Melenk, Jens Markus ; Schwab, Christoph Weighted analytic regularity for the integral fractional Laplacian in polyhedraArticle Artikel 2025
25Bahr-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
26Faustmann, Markus ; Rieder, Alexander FEM-BEM coupling in fractional DiffusionPresentation Vortrag5-Dec-2024
27Melenk-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
28Bernkopf-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
29Melenk, Jens Markus ; Nick, Jörg Parsimonious convolution quadraturePreprint Preprint19-Oct-2024
30Zank, Marco Space-time BEM for the wave equation for flat objectsPresentation Vortrag28-Sep-2024
31Melenk, Jens Markus ; Rojik, Claudio A note on the shift theorem for the Laplacian in polygonal domains (extended version)Preprint Preprint25-Sep-2024
32Lin, 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
33Lin, 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
34Bernkopf, 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
35Bahr-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
36Rieder, Alexander A p-version of convolution quadrature in wave propagationInproceedings Konferenzbeitrag13-Jun-2024
37Bahr, Björn ; Marcati, Carlo ; Faustmann, Markus ; Melenk, Jens Markus ; Schwab, Christoph hp-FEM for the integral fractional Laplacian in polygonsInproceedings Konferenzbeitrag10-Jun-2024
38Melenk-2024-Wavenumber-explicit analysis of Maxwells equations in piecewi...-vor.pdf.jpgMelenk, Jens Markus ; Wörgötter, David Wavenumber-explicit analysis of Maxwell's equations in piecewise smooth mediaPresentation Vortrag 16-May-2024
39Demkowicz, Leszek ; Melenk, Jens M. ; Badger, Jacob ; Henneking, Stefan Stability analysis for electromagnetic waveguides. Part 2: non-homogeneous waveguidesArticle Artikel 29-Apr-2024
40Sturm, Kevin The topological state derivative with an applications to Dirichlet controlPresentation Vortrag26-Mar-2024
41Ma, Chupeng ; Melenk, J. M. Exponential Convergence of a Generalized FEM for Heterogeneous Reaction-Diffusion EquationsArticle Artikel Mar-2024
42Melenk, Jens Markus ; Bahr, Björn ; Faustmann, Markus ; Marcati, Carlo ; Schwab, Christoph hp-FEM for the integral fractional Laplacian in polygonsPresentation Vortrag10-Jan-2024
43Rojik-2024-Applications of Mathematics-vor.pdf.jpgMelenk, Jens Markus ; Rojik, Claudio A note on the shift theorem for the Laplacian in polygonal domainsArticle Artikel 2024
44Achleitner, Franz ; Akagi, Goro ; Kühn, Christian ; Melenk, Jens Markus ; Rademacher, Jens ; Soresina, Cinzia ; Yang, Jichen Fractional Dissipative PDEsBook Contribution Buchbeitrag2024
45Faustmann, Markus ; Rieder, Alexander FEM-BEM coupling in fractional diffusionArticle Artikel 2024
46Faustmann, Markus ; Marcati, Carlo ; Melenk, Jens Markus ; Schwab, Christoph Exponential Convergence of hp-FEM for the Integral Fractional Laplacian in PolygonsArticle Artikel Dec-2023
47Angleitner-2023-Advances in Computational Mathematics-vor.pdf.jpgAngleitner, Niklas ; Faustmann, Markus ; Melenk, Jens Markus H-inverses for RBF interpolationArticle Artikel Dec-2023
48Banjai, Lehel ; Melenk, Jens M ; Schwab, Christoph hp-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domainsArticle Artikel Nov-2023
49Melenk, Jens Markus hp-FEM for the integral fractional Laplacian in polygonsPresentation Vortrag17-Oct-2023
50Sturm, Kevin ; Baumann, Phillip ; Mazari, Idriss ; Blauth, Sebastian ; Gangl, Peter A second order level-set algorithm and the topological state derivatvePresentation Vortrag26-Sep-2023
51Melenk, Jens Markus ; Wörgötter, David Wavenumber-explicit regularity theory for the time-harmonic Maxwell equations in piecewise smooth mediaPresentation Vortrag25-Sep-2023
52Brunner, Maximilian ; Becker, Roland ; Innerberger, Michael ; Melenk, Jens Markus ; Praetorius, Dirk Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEsPresentation Vortrag4-Sep-2023
53Melenk, Jens Markus ; Sauter, S. ; Wörgötter, David Wavenumber-explicit hp-FEM analysis for Maxwell's equations in piecewise smooth mediaPresentation Vortrag25-Aug-2023
54Melenk, Jens Markus ; Bernkopf, Maximilian ; Bertrand, F. ; Chaumont-Frelet, T. ; Nicaise, S. Wavenumber-explicit convergence analysis for the time-harmonic elastic wave equationPresentation Vortrag17-Aug-2023
55Melenk, Jens Markus ; Rojik, Claudio ; Sauter, S. ; Wörgötter, David p-version projection-based interpolation and time-harmonic Maxwell's equations in piecewise smooth mediaPresentation Vortrag15-Aug-2023
56Melenk, Jens Markus ; Bernkopf, Maximilian ; Bertrand, Fleurianne ; Chaumont-Frelet, Theophile ; Nicaise, S. ; Sauter, S. ; Wörgötter, David Wavenumber-explicit hp-FEM analysis for vector-valued wave propagation problemsPresentation Vortrag27-Jul-2023
57Rieder, Alexander A p-version of convolution quadrature in wave propagationPresentation Vortrag26-Jul-2023
58Faustmann-2023-Computational Methods in Applied Mathematics-vor.pdf.jpgFaustmann, Markus ; Stephan, Ernst P. ; Wörgötter, David Two-level error estimation for the integral fractional LaplacianArticle Artikel 1-Jul-2023
59Becker, Roland ; Brunner, Maximilian ; Innerberger, Michael ; Melenk, Jens Markus ; Praetorius, Dirk Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEsArticle Artikel Jul-2023
60Faustmann, Markus ; Marcati, Carlo ; Melenk, Jens Markus ; Schwab, Christoph Exponential convergence of hp-FEM for the integral fractional LaplacianPresentation Vortrag29-Jun-2023
61Karkulik, Michael ; Melenk, Jens Markus ; Rieder, Alexander On interpolation spaces of piecewise polynomials on mixed meshesPreprint Preprint29-Jun-2023
62Melenk, Jens Markus ; Bahr, Björn ; Faustmann, Markus ; Parvizi, Maryam ; Praetorius, Dirk AFEM for the fractional LaplacianPresentation Vortrag12-Jun-2023
63Faustmann, Markus ; Marcati, Carlo ; Melenk, Jens Markus ; Schwab, Christoph Exponential convergence of hp-FEM for the integral fractional LaplacianInproceedings Konferenzbeitrag 30-May-2023
64Melenk, Jens Markus ; Banjai, Lehel ; Rieder, Alexander ; Schwab, Ch. hp-FEM for the spectral fractional Laplacian in polygonsPresentation Vortrag9-Mar-2023
65Melenk, Jens Markus ; Bernkopf, Maximilian ; Chaumont-Frelet, T. Wavenumber-explicit hp-FEM analysis for the Helmholtz equation in heterogeneous mediaPresentation Vortrag17-Feb-2023
66Angleitner-2023-Computers and Mathematics with Applications-vor.pdf.jpgAngleitner, Niklas ; Faustmann, Markus ; Melenk, Jens Markus Exponential meshes and H-matricesArticle Artikel 15-Jan-2023
67Melenk, Jens Markus ; Wörgötter, David Wavenumber-explicit regularity theory for the time-harmonic Maxwell equations in piecewise smooth mediaArticle Artikel 2023
68Rieder-2023-Numerische Mathematik-vor.pdf.jpgRieder, Alexander Double exponential quadrature for fractional diffusionArticle Artikel 2023
69Bernkopf-2023-ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-vor.pdf.jpgBernkopf, Maximilian ; Melenk, Jens Markus Optimal convergence rates in L² for a first order system least squares finite element methodArticle Artikel 2023
70Cuyt, Annie ; Melenk, Jens M. ; Sauter, Stefan A. ; Xu, Yuan Mini-Workshop: Multivariate Orthogonal Polynomials: New synergies with Numerical AnalysisArticle Artikel 2023
71Bahr, Björn ; Faustmann, Markus ; Marcati, Carlo ; Melenk, Jens Markus ; Schwab, Christoph Exponential Convergence of hp-FEM for the Integral Fractional Laplacian in 1DInproceedings Konferenzbeitrag2023
72Banjai-2023-Numerische Mathematik-vor.pdf.jpgBanjai, Lehel ; Melenk, Jens Markus ; Schwab, Christoph Exponential convergence of hp FEM for spectral fractional diffusion in polygonsArticle Artikel 2023
73Melenk, Jens Markus ; Perugia, Ilaria ; Schöberl, Joachim ; Schwab, Christoph Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1 : Selected Papers from the ICOSAHOM Conference, Vienna, Austria, July 12-16, 2021Proceedings Tagungsband2023
74Faustmann, Markus ; Marcati, Carlo ; Melenk, Jens Markus ; Schwab, Christoph Weighted Analytic Regularity for the Integral Fractional Laplacian in PolygonsArticle Artikel 8-Dec-2022
75Melenk, Jens Markus ; Schwab, Ch. ; Banjai, Lehel hp-FEM for the spectral fracational LaplacianPresentation VortragNov-2022
76Melenk, Jens Markus ; Faustmann, Markus ; Schwab, Ch. ; Marcati, Carlo weighted analytic regularity for the integral fractional LaplacianPresentation VortragNov-2022
77Melenk, Jens Markus ; Faustmann, Markus ; Schwab, Ch. ; Marcati, Carlo weighted analytic regularity for the integral fractional LaplacianPresentation VortragNov-2022
78Melenk, Jens Markus ; Faustmann, Markus ; Schwab, Ch. ; Marcati, Carlo weighted analytic regularity for the integral fractional LaplacianPresentation VortragNov-2022
79Melenk, Jens Markus ; Rieder, Alexander An exponentially convergent discretization for space–time fractional parabolic equations using 𝘩𝘱-FEMArticle Artikel 15-Oct-2022
80Faustmann, Markus ; Melenk, Jens Markus ; Parvizi, Maryam 𝘏-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equationsArticle Artikel Oct-2022
81Becker-2022-Rate-optimal goal-oriented adaptive FEM for semilinear ellipt...-vor.pdf.jpgBecker, Roland ; Brunner, Maximilian ; Innerberger, Michael ; Melenk, Jens Markus ; Praetorius, Dirk Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEsInproceedings Konferenzbeitrag 2-Sep-2022
82Rieder, Alexander ; Sayas, Francisco-Javier ; Melenk, Jens Markus Time domain boundary integral equations and convolution quadrature for scattering by composite mediaArticle Artikel Sep-2022
83Melenk, Jens Markus ; Faustmann, Markus ; Karkulik, Michael local error analysis for nonlocal operatorsPresentation VortragSep-2022
84Melenk, Jens Markus ; Sauter, Stefan A. ; chaumont-frelet ; Bernkopf, Maximilian wavenumber-explicit analysis of heterogeneous Helmholtz problemsPresentation VortragSep-2022
85Melenk, Jens Markus ; Banjai, Lehel ; Schwab, Ch. ; Rieder, Alexander hp-FEM for the spectral fractional LaplacianPresentation VortragSep-2022
86Kaltenbacher, Manfred ; Melenk, Jens Markus EditorialArticle Artikel23-Aug-2022
87Melenk, Jens Markus ; Faustmann, Markus ; Karkulik, Michael local error analysis for nonlocal operatorsPresentation VortragAug-2022
88Melenk, Jens Markus ; Sauter, Stefan A. ; Chaumont-Frelet ; Bernkopf, Maximilian wavenumber-explicit analysis of heterogeneous Helmholtz problemsPresentation VortragAug-2022
89Erath, Christoph ; Mascotto, Lorenzo ; Melenk, Jens M. ; Perugia, Ilaria ; Rieder, Alexander Mortar Coupling of 𝘩𝘱-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz EquationArticle Artikel Jul-2022
90Faustmann, Markus ; Karkulik, Michael ; Melenk, Jens Markus Local Convergence of the FEM for the Integral Fractional LaplacianArticle Artikel Jun-2022
91Brunner, Maximilian ; Becker, Roland ; Innerberger, Michael ; Melenk, Jens Markus ; Praetorius, Dirk Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEsInproceedings Konferenzbeitrag6-May-2022
92Melenk, Jens Markus ; Sauter, Stefan A. ; chaumont-frelet ; Bernkopf, Maximilian wavenumber-explicit analysis of heterogeneous Helmholtz problemsPresentation VortragMay-2022
93Melenk, Jens Markus ; Sauter, Stefan A. ; chaumont-frelet ; Bernkopf, Maximilian wavenumber-explicit analysis of heterogeneous Helmholtz problemsPresentation VortragMay-2022
94Melenk, Jens Markus ; Sauter, Stefan A. ; chaumont-frelet ; Bernkopf, Maximilian wavenumber-explicit analysis of heterogeneous Helmholtz problemsPresentation VortragMar-2022
95Melenk, Jens Markus ; Sauter, Stefan A. ; chaumont-frelet wavenumber-explicit analysis of heterogeneous Helmholtz problemsPresentation VortragFeb-2022
96Melenk, Jens Markus ; Faustmann, Markus ; Schwab, Ch. ; Marcati, Carlo weighted analytic regularity for the integral fractional LaplacianPresentation VortragFeb-2022
97Melenk, Jens Markus ; Faustmann, Markus ; Schwab, Ch. ; Marcati, Carlo weighted analytic regularity for the integral fractional LaplacianPresentation VortragFeb-2022