The Composite Mini Element - Coarse Mesh Computation of Stokes Flows on Complicated Domains. - Daniel Peterseim; Stefan A. Sauter (SIAM J. Numer. Anal., 2008)

Finite Elements for Elliptic Problems with Highly Varying, Nonperiodic Diffusion Matrix. - Daniel Peterseim; Stefan A. Sauter (Multiscale Model. Simul., 2012)

Robustness of finite element simulations in densely packed random particle composites. - Daniel Peterseim (Networks Heterog. Media, 2012)

Comparison Results of Finite Element Methods for the Poisson Model Problem. - Carsten Carstensen; Daniel Peterseim; Mira Schedensack (SIAM J. Numer. Anal., 2012)

Oversampling for the Multiscale Finite Element Method. - Patrick Henning; Daniel Peterseim (Multiscale Model. Simul., 2013)

Optimal adaptive nonconforming FEM for the Stokes problem. - Carsten Carstensen; Daniel Peterseim; Hella Rabus (Numerische Mathematik, 2013)

Finite element network approximation of conductivity in particle composites. - Daniel Peterseim; Carsten Carstensen (Numerische Mathematik, 2013)

Convergence of a Discontinuous Galerkin Multiscale Method. - Daniel Elfverson; Emmanuil H. Georgoulis; Axel Målqvist; Daniel Peterseim (SIAM J. Numer. Anal., 2013)

Localization of elliptic multiscale problems. - Axel Målqvist; Daniel Peterseim (Math. Comput., 2014)

Composite finite elements for elliptic interface problems. - Daniel Peterseim (Math. Comput., 2014)

Two-Level Discretization Techniques for Ground State Computations of Bose-Einstein Condensates. - Patrick Henning; Axel Målqvist; Daniel Peterseim (SIAM J. Numer. Anal., 2014)

Analysis-suitable adaptive T-mesh refinement with linear complexity. - Philipp Morgenstern; Daniel Peterseim (Comput. Aided Geom. Des., 2015)

Simulation of Composite Materials by a Network FEM with Error Control. - Martin Eigel; Daniel Peterseim (Comput. Methods Appl. Math., 2015)

Computation of eigenvalues by numerical upscaling. - Axel Målqvist; Daniel Peterseim (Numerische Mathematik, 2015)

Complexity of hierarchical refinement for a class of admissible mesh configurations. - Annalisa Buffa; Carlotta Giannelli; Philipp Morgenstern; Daniel Peterseim (Comput. Aided Geom. Des., 2016)

Robust Numerical Upscaling of Elliptic Multiscale Problems at High Contrast. - Daniel Peterseim; Robert Scheichl (Comput. Methods Appl. Math., 2016)

A Multiscale Method for Porous Microstructures. - Donald L. Brown; Daniel Peterseim (Multiscale Model. Simul., 2016)

The norm of a discretized gradient in ( varvec{H({{ mathrm{div}}})^*} ) for a posteriori finite element error analysis. - Carsten Carstensen; Daniel Peterseim; Andreas Schröder 001 (Numerische Mathematik, 2016)

Relaxing the CFL Condition for the Wave Equation on Adaptive Meshes. - Daniel Peterseim; Mira Schedensack (J. Sci. Comput., 2017)

Computation of Quasi-Local Effective Diffusion Tensors and Connections to the Mathematical Theory of Homogenization. - Dietmar Gallistl; Daniel Peterseim (Multiscale Model. Simul., 2017)

Eliminating the pollution effect in Helmholtz problems by local subscale correction. - Daniel Peterseim (Math. Comput., 2017)

On the stability of the Rayleigh-Ritz method for eigenvalues. - Dietmar Gallistl; P. Huber; Daniel Peterseim (Numerische Mathematik, 2017)

Numerical Homogenization of Heterogeneous Fractional Laplacians. - Donald L. Brown; Joscha Gedicke; Daniel Peterseim (Multiscale Model. Simul., 2018)

An analysis of a class of variational multiscale methods based on subspace decomposition. - Ralf Kornhuber; Daniel Peterseim; Harry Yserentant (Math. Comput., 2018)

Computational multiscale methods for linear poroelasticity with high contrast. - Shubin Fu; Robert Altmann; Eric T. Chung 001; Roland Maier; Daniel Peterseim; Sai-Mang Pun (J. Comput. Phys., 2019)

Localized Computation of Eigenstates of Random Schrödinger Operators. - Robert Altmann; Daniel Peterseim (SIAM J. Sci. Comput., 2019)

Reconstruction of Quasi-Local Numerical Effective Models from Low-Resolution Measurements. - Alfonso Caiazzo; Roland Maier; Daniel Peterseim (J. Sci. Comput., 2020)

Computational high frequency scattering from high-contrast heterogeneous media. - Daniel Peterseim; Barbara Verfürth (Math. Comput., 2020)

Sparse Compression of Expected Solution Operators. - Michael Feischl; Daniel Peterseim (SIAM J. Numer. Anal., 2020)

Sobolev Gradient Flow for the Gross-Pitaevskii Eigenvalue Problem: Global Convergence and Computational Efficiency. - Patrick Henning; Daniel Peterseim (SIAM J. Numer. Anal., 2020)

Operator Compression with Deep Neural Networks. - Fabian Kröpfl; Roland Maier; Daniel Peterseim (CoRR, 2021)

Energy-adaptive Riemannian optimization on the Stiefel manifold. - Robert Altmann; Daniel Peterseim; Tatjana Stykel (CoRR, 2021)

The J-method for the Gross-Pitaevskii eigenvalue problem. - Robert Altmann; Patrick Henning; Daniel Peterseim (Numerische Mathematik, 2021)

A Priori Error Analysis of a Numerical Stochastic Homogenization Method. - Julian Fischer; Dietmar Gallistl; Daniel Peterseim (SIAM J. Numer. Anal., 2021)

Numerical homogenization beyond scale separation. - Robert Altmann; Patrick Henning; Daniel Peterseim (Acta Numer., 2021)

Super-localized orthogonal decomposition for convection-dominated diffusion problems. - Francesca Bonizzoni; Philip Freese; Daniel Peterseim (CoRR, 2022)

Multidimensional rank-one convexification of incremental damage models at finite strains. - Daniel Balzani; Maximilian Köhler; Timo Neumeier; Malte A. Peter; Daniel Peterseim (CoRR, 2022)

Localization and Delocalization of Ground States of Bose-Einstein Condensates Under Disorder. - Robert Altmann; Patrick Henning; Daniel Peterseim (SIAM J. Appl. Math., 2022)

Multi-Resolution Localized Orthogonal Decomposition for Helmholtz Problems. - Moritz Hauck; Daniel Peterseim (Multiscale Model. Simul., 2022)

Super-localization of elliptic multiscale problems. - Moritz Hauck; Daniel Peterseim (Math. Comput., 2022)

Neural Network Approximation of Coarse-Scale Surrogates in Numerical Homogenization. - Fabian Kröpfl; Roland Maier; Daniel Peterseim (Multiscale Model. Simul., 2023)

Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound. - Dietmar Gallistl; Moritz Hauck; Yizhou Liang; Daniel Peterseim (CoRR, 2024)

Quantum Realization of the Finite Element Method. - Matthias Deiml; Daniel Peterseim (CoRR, 2024)

Hierarchical Rank-One Sequence Convexification for the Relaxation of Variational Problems with Microstructures. - Maximilian Köhler; Timo Neumeier; Malte A. Peter; Daniel Peterseim; Daniel Balzani (CoRR, 2024)

Positivity preserving finite element method for the Gross-Pitaevskii ground state: discrete uniqueness and global convergence. - Moritz Hauck; Yizhou Liang; Daniel Peterseim (CoRR, 2024)

Hierarchical Super-Localized Orthogonal Decomposition Method. - José C. Garay; Hannah Mohr; Daniel Peterseim; Christoph Zimmer (CoRR, 2024)

Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates. - Robert Altmann; M. Hermann; Daniel Peterseim; Tatjana Stykel (CoRR, 2024)

Nonlinear quantum computing by amplified encodings. - Matthias Deiml; Daniel Peterseim (CoRR, 2024)

Super-localised wave function approximation of Bose-Einstein condensates. - Daniel Peterseim; Johan Wärnegård; Christoph Zimmer (J. Comput. Phys., 2024)

Computational Polyconvexification of Isotropic Functions. - Timo Neumeier; Malte A. Peter; Daniel Peterseim; David Wiedemann (Multiscale Model. Simul., 2024)

Super-Localized Orthogonal Decomposition for High-Frequency Helmholtz Problems. - Philip Freese; Moritz Hauck; Daniel Peterseim (SIAM J. Sci. Comput., 2024)

A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems. - Francesca Bonizzoni; Moritz Hauck; Daniel Peterseim (J. Comput. Phys., 2024)

A super-localized generalized finite element method. - Philip Freese; Moritz Hauck; Tim Keil; Daniel Peterseim (Numerische Mathematik, 2024)

Computational Multiscale Methods for Nondivergence-Form Elliptic Partial Differential Equations. - Philip Freese; Dietmar Gallistl; Daniel Peterseim; Timo Sprekeler (Comput. Methods Appl. Math., 2024)

Riemannian Newton Methods for Energy Minimization Problems of Kohn-Sham Type. - Robert Altmann; Daniel Peterseim; Tatjana Stykel (J. Sci. Comput., 2024)

Super-Localized Orthogonal Decomposition Method for Heterogeneous Linear Elasticity. - Camilla Belponer; José C. Garay; Peter Munch; Daniel Peterseim (Comput. Methods Appl. Math., 2025)

A Simple Collocation-Type Approach to Numerical Stochastic Homogenization. - Moritz Hauck; Hannah Mohr; Daniel Peterseim (Multiscale Model. Simul., 2025)

Energy-Adaptive Riemannian Conjugate Gradient Method for Density Functional Theory. - Daniel Peterseim; Jonas Püschel; Tatjana Stykel (CoRR, 2025)

Neural Network Enhanced Polyconvexification of Isotropic Energy Densities in Computational Mechanics. - Loïc Balazi; Timo Neumeier; Malte A. Peter; Daniel Peterseim (CoRR, 2025)

Neural Network Acceleration of Iterative Methods for Nonlinear Schrödinger Eigenvalue Problems. - Daniel Peterseim; Jan-Frederik Pietschmann; Jonas Püschel; Kilian Ruess (CoRR, 2025)