Daniel Peterseim

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 56

Top Topics

Energy Minimization Problems

Composite Materials

Top Venues

Multiscale Model. Simul.

Numerische Mathematik

Publications

José C. Garay, Hannah Mohr, Daniel Peterseim, Christoph Zimmer
Hierarchical Super-Localized Orthogonal Decomposition Method. CoRR (2024)
Robert Altmann, Daniel Peterseim, Tatjana Stykel
Riemannian Newton Methods for Energy Minimization Problems of Kohn-Sham Type. J. Sci. Comput. 101 (1) (2024)
Dietmar Gallistl, Moritz Hauck, Yizhou Liang, Daniel Peterseim
Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound. CoRR (2024)
Philip Freese, Dietmar Gallistl, Daniel Peterseim, Timo Sprekeler
Computational Multiscale Methods for Nondivergence-Form Elliptic Partial Differential Equations. Comput. Methods Appl. Math. 24 (3) (2024)
Francesca Bonizzoni, Moritz Hauck, Daniel Peterseim
A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems. J. Comput. Phys. 499 (2024)
Maximilian Köhler, Timo Neumeier, Malte A. Peter, Daniel Peterseim, Daniel Balzani
Hierarchical Rank-One Sequence Convexification for the Relaxation of Variational Problems with Microstructures. CoRR (2024)
Moritz Hauck, Hannah Mohr, Daniel Peterseim
A simple collocation-type approach to numerical stochastic homogenization. CoRR (2024)
Moritz Hauck, Yizhou Liang, Daniel Peterseim
Positivity preserving finite element method for the Gross-Pitaevskii ground state: discrete uniqueness and global convergence. CoRR (2024)
Daniel Peterseim, Johan Wärnegård, Christoph Zimmer
Super-localised wave function approximation of Bose-Einstein condensates. J. Comput. Phys. 510 (2024)
Philip Freese, Moritz Hauck, Tim Keil, Daniel Peterseim
A super-localized generalized finite element method. Numerische Mathematik 156 (1) (2024)
Philip Freese, Moritz Hauck, Daniel Peterseim
Super-Localized Orthogonal Decomposition for High-Frequency Helmholtz Problems. SIAM J. Sci. Comput. 46 (4) (2024)
Matthias Deiml, Daniel Peterseim
Quantum Realization of the Finite Element Method. CoRR (2024)
Fabian Kröpfl, Roland Maier, Daniel Peterseim
Neural Network Approximation of Coarse-Scale Surrogates in Numerical Homogenization. Multiscale Model. Simul. 21 (4) (2023)
Timo Neumeier, Malte A. Peter, Daniel Peterseim, David Wiedemann
Computational polyconvexification of isotropic functions. CoRR (2023)
Daniel Peterseim, Johan Wärnegård, Christoph Zimmer
Super-localised wave function approximation of Bose-Einstein condensates. CoRR (2023)
Robert Altmann, Daniel Peterseim, Tatjana Stykel
Riemannian Newton methods for energy minimization problems of Kohn-Sham type. CoRR (2023)
Daniel Balzani, Maximilian Köhler, Timo Neumeier, Malte A. Peter, Daniel Peterseim
Multidimensional rank-one convexification of incremental damage models at finite strains. CoRR (2022)
Fabian Kröpfl, Roland Maier, Daniel Peterseim
Neural network approximation of coarse-scale surrogates in numerical homogenization. CoRR (2022)
Philip Freese, Dietmar Gallistl, Daniel Peterseim, Timo Sprekeler
Computational multiscale methods for nondivergence-form elliptic partial differential equations. CoRR (2022)
Francesca Bonizzoni, Philip Freese, Daniel Peterseim
Super-localized orthogonal decomposition for convection-dominated diffusion problems. CoRR (2022)
Moritz Hauck, Daniel Peterseim
Multi-Resolution Localized Orthogonal Decomposition for Helmholtz Problems. Multiscale Model. Simul. 20 (1) (2022)
Francesca Bonizzoni, Moritz Hauck, Daniel Peterseim
A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems. CoRR (2022)
Robert Altmann, Patrick Henning, Daniel Peterseim
Localization and Delocalization of Ground States of Bose-Einstein Condensates Under Disorder. SIAM J. Appl. Math. 82 (1) (2022)
Philip Freese, Moritz Hauck, Tim Keil, Daniel Peterseim
A Super-Localized Generalized Finite Element Method. CoRR (2022)
Moritz Hauck, Daniel Peterseim
Super-localization of elliptic multiscale problems. Math. Comput. 92 (341) (2022)
Moritz Hauck, Daniel Peterseim
Multi-resolution Localized Orthogonal Decomposition for Helmholtz problems. CoRR (2021)
Robert Altmann, Daniel Peterseim, Tatjana Stykel
Energy-adaptive Riemannian optimization on the Stiefel manifold. CoRR (2021)
Julian Fischer, Dietmar Gallistl, Daniel Peterseim
A Priori Error Analysis of a Numerical Stochastic Homogenization Method. SIAM J. Numer. Anal. 59 (2) (2021)
Robert Altmann, Patrick Henning, Daniel Peterseim
The J-method for the Gross-Pitaevskii eigenvalue problem. Numerische Mathematik 148 (3) (2021)
Philip Freese, Moritz Hauck, Daniel Peterseim
Super-localized Orthogonal Decomposition for high-frequency Helmholtz problems. CoRR (2021)
Fabian Kröpfl, Roland Maier, Daniel Peterseim
Operator Compression with Deep Neural Networks. CoRR (2021)
Moritz Hauck, Daniel Peterseim
Super-localization of elliptic multiscale problems. CoRR (2021)
Robert Altmann, Patrick Henning, Daniel Peterseim
Numerical homogenization beyond scale separation. Acta Numer. 30 (2021)
Patrick Henning, Daniel Peterseim
Sobolev Gradient Flow for the Gross-Pitaevskii Eigenvalue Problem: Global Convergence and Computational Efficiency. SIAM J. Numer. Anal. 58 (3) (2020)
Alfonso Caiazzo, Roland Maier, Daniel Peterseim
Reconstruction of Quasi-Local Numerical Effective Models from Low-Resolution Measurements. J. Sci. Comput. 85 (1) (2020)
Alfonso Caiazzo, Roland Maier, Daniel Peterseim
Reconstruction of quasi-local numerical effective models from low-resolution measurements. CoRR (2020)
Daniel Peterseim, Barbara Verfürth
Computational high frequency scattering from high-contrast heterogeneous media. Math. Comput. 89 (326) (2020)
Michael Feischl, Daniel Peterseim
Sparse Compression of Expected Solution Operators. SIAM J. Numer. Anal. 58 (6) (2020)
Robert Altmann, Patrick Henning, Daniel Peterseim
Localization and delocalization of ground states of Bose-Einstein condensates under disorder. CoRR (2020)
Julian Fischer, Dietmar Gallistl, Daniel Peterseim
A priori error analysis of a numerical stochastic homogenization method. CoRR (2019)
Robert Altmann, Daniel Peterseim
Localized Computation of Eigenstates of Random Schrödinger Operators. SIAM J. Sci. Comput. 41 (6) (2019)
Shubin Fu, Robert Altmann, Eric T. Chung, Roland Maier, Daniel Peterseim, Sai-Mang Pun
Computational multiscale methods for linear poroelasticity with high contrast. J. Comput. Phys. 395 (2019)
Robert Altmann, Patrick Henning, Daniel Peterseim
The J-method for the Gross-Pitaevskii eigenvalue problem. CoRR (2019)
Donald L. Brown, Joscha Gedicke, Daniel Peterseim
Numerical Homogenization of Heterogeneous Fractional Laplacians. Multiscale Model. Simul. 16 (3) (2018)
Ralf Kornhuber, Daniel Peterseim, Harry Yserentant
An analysis of a class of variational multiscale methods based on subspace decomposition. Math. Comput. 87 (314) (2018)
Dietmar Gallistl, P. Huber, Daniel Peterseim
On the stability of the Rayleigh-Ritz method for eigenvalues. Numerische Mathematik 137 (2) (2017)
Dietmar Gallistl, Daniel Peterseim
Computation of Quasi-Local Effective Diffusion Tensors and Connections to the Mathematical Theory of Homogenization. Multiscale Model. Simul. 15 (4) (2017)
Daniel Peterseim, Mira Schedensack
Relaxing the CFL Condition for the Wave Equation on Adaptive Meshes. J. Sci. Comput. 72 (3) (2017)
Daniel Peterseim
Eliminating the pollution effect in Helmholtz problems by local subscale correction. Math. Comput. 86 (305) (2017)
Annalisa Buffa, Carlotta Giannelli, Philipp Morgenstern, Daniel Peterseim
Complexity of hierarchical refinement for a class of admissible mesh configurations. Comput. Aided Geom. Des. 47 (2016)
Donald L. Brown, Daniel Peterseim
A Multiscale Method for Porous Microstructures. Multiscale Model. Simul. 14 (3) (2016)
Daniel Peterseim, Robert Scheichl
Robust Numerical Upscaling of Elliptic Multiscale Problems at High Contrast. Comput. Methods Appl. Math. 16 (4) (2016)
Carsten Carstensen, Daniel Peterseim, Andreas Schröder
The norm of a discretized gradient in \(\varvec{H({{\mathrm{div}}})^*}\) for a posteriori finite element error analysis. Numerische Mathematik 132 (3) (2016)
Martin Eigel, Daniel Peterseim
Simulation of Composite Materials by a Network FEM with Error Control. Comput. Methods Appl. Math. 15 (1) (2015)
Philipp Morgenstern, Daniel Peterseim
Analysis-suitable adaptive T-mesh refinement with linear complexity. Comput. Aided Geom. Des. 34 (2015)
Axel Målqvist, Daniel Peterseim
Computation of eigenvalues by numerical upscaling. Numerische Mathematik 130 (2) (2015)
Daniel Peterseim
Composite finite elements for elliptic interface problems. Math. Comput. 83 (290) (2014)
Axel Målqvist, Daniel Peterseim
Localization of elliptic multiscale problems. Math. Comput. 83 (290) (2014)
Patrick Henning, Axel Målqvist, Daniel Peterseim
Two-Level Discretization Techniques for Ground State Computations of Bose-Einstein Condensates. SIAM J. Numer. Anal. 52 (4) (2014)
Patrick Henning, Daniel Peterseim
Oversampling for the Multiscale Finite Element Method. Multiscale Model. Simul. 11 (4) (2013)
Carsten Carstensen, Daniel Peterseim, Hella Rabus
Optimal adaptive nonconforming FEM for the Stokes problem. Numerische Mathematik 123 (2) (2013)
Daniel Elfverson, Emmanuil H. Georgoulis, Axel Målqvist, Daniel Peterseim
Convergence of a Discontinuous Galerkin Multiscale Method. SIAM J. Numer. Anal. 51 (6) (2013)
Daniel Peterseim, Carsten Carstensen
Finite element network approximation of conductivity in particle composites. Numerische Mathematik 124 (1) (2013)
Daniel Peterseim, Stefan A. Sauter
Finite Elements for Elliptic Problems with Highly Varying, Nonperiodic Diffusion Matrix. Multiscale Model. Simul. 10 (3) (2012)
Carsten Carstensen, Daniel Peterseim, Mira Schedensack
Comparison Results of Finite Element Methods for the Poisson Model Problem. SIAM J. Numer. Anal. 50 (6) (2012)
Daniel Peterseim
Robustness of finite element simulations in densely packed random particle composites. Networks Heterog. Media 7 (1) (2012)
Daniel Peterseim, Stefan A. Sauter
The Composite Mini Element - Coarse Mesh Computation of Stokes Flows on Complicated Domains. SIAM J. Numer. Anal. 46 (6) (2008)