Daniel Peterseim

,

,

Tatjana Stykel

J. Sci. Comput., October, 2024

Computational Multiscale Methods for Nondivergence-Form Elliptic Partial Differential Equations.

[BibT_eX]

[DOI]

,

,

,

Comput. Methods Appl. Math., July, 2024

A super-localized generalized finite element method.

[BibT_eX]

[DOI]

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,

,

Numerische Mathematik, February, 2024

A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems.

[BibT_eX]

[DOI]

Francesca Bonizzoni

,

,

J. Comput. Phys., February, 2024

Super-Localized Orthogonal Decomposition for High-Frequency Helmholtz Problems.

[BibT_eX]

[DOI]

Philip Freese

,

,

SIAM J. Sci. Comput., 2024

Super-localised wave function approximation of Bose-Einstein condensates.

[BibT_eX]

[DOI]

,

Johan Wärnegård

,

Christoph Zimmer

J. Comput. Phys., 2024

Hierarchical Super-Localized Orthogonal Decomposition Method.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2024

Positivity preserving finite element method for the Gross-Pitaevskii ground state: discrete uniqueness and global convergence.

[BibT_eX]

[DOI]

,

Yizhou Liang

,

CoRR, 2024

Hierarchical Rank-One Sequence Convexification for the Relaxation of Variational Problems with Microstructures.

[BibT_eX]

[DOI]

,

,

,

,

CoRR, 2024

A simple collocation-type approach to numerical stochastic homogenization.

[BibT_eX]

[DOI]

,

Hannah Mohr

,

CoRR, 2024

Quantum Realization of the Finite Element Method.

[BibT_eX]

[DOI]

Matthias Deiml

,

CoRR, 2024

Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2024

Neural Network Approximation of Coarse-Scale Surrogates in Numerical Homogenization.

[BibT_eX]

[DOI]

Fabian Kröpfl

,

Roland Maier

,

Multiscale Model. Simul., December, 2023

Computational polyconvexification of isotropic functions.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2023

Super-localization of elliptic multiscale problems.

[BibT_eX]

[DOI]

,

Math. Comput., November, 2022

Multi-Resolution Localized Orthogonal Decomposition for Helmholtz Problems.

[BibT_eX]

[DOI]

,

Multiscale Model. Simul., March, 2022

Localization and Delocalization of Ground States of Bose-Einstein Condensates Under Disorder.

[BibT_eX]

[DOI]

,

,

SIAM J. Appl. Math., 2022

Multidimensional rank-one convexification of incremental damage models at finite strains.

[BibT_eX]

[DOI]

,

,

,

,

CoRR, 2022

Super-localized orthogonal decomposition for convection-dominated diffusion problems.

[BibT_eX]

[DOI]

Francesca Bonizzoni

,

Philip Freese

,

CoRR, 2022

Numerical homogenization beyond scale separation.

[BibT_eX]

[DOI]

,

,

Acta Numer., May, 2021

A Priori Error Analysis of a Numerical Stochastic Homogenization Method.

[BibT_eX]

[DOI]

Julian Fischer

,

Dietmar Gallistl

,

SIAM J. Numer. Anal., 2021

The J-method for the Gross-Pitaevskii eigenvalue problem.

[BibT_eX]

[DOI]

,

,

Numerische Mathematik, 2021

Energy-adaptive Riemannian optimization on the Stiefel manifold.

[BibT_eX]

[DOI]

,

,

Tatjana Stykel

CoRR, 2021

Operator Compression with Deep Neural Networks.

[BibT_eX]

[DOI]

Fabian Kröpfl

,

Roland Maier

,

CoRR, 2021

Sobolev Gradient Flow for the Gross-Pitaevskii Eigenvalue Problem: Global Convergence and Computational Efficiency.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2020

Sparse Compression of Expected Solution Operators.

[BibT_eX]

[DOI]

Michael Feischl

,

SIAM J. Numer. Anal., 2020

Computational high frequency scattering from high-contrast heterogeneous media.

[BibT_eX]

[DOI]

,

Barbara Verfürth

Math. Comput., 2020

Reconstruction of Quasi-Local Numerical Effective Models from Low-Resolution Measurements.

[BibT_eX]

[DOI]

Alfonso Caiazzo

,

Roland Maier

,

J. Sci. Comput., 2020

Localized Computation of Eigenstates of Random Schrödinger Operators.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 2019

Computational multiscale methods for linear poroelasticity with high contrast.

[BibT_eX]

[DOI]

,

,

,

,

,

J. Comput. Phys., 2019

An analysis of a class of variational multiscale methods based on subspace decomposition.

[BibT_eX]

[DOI]

Ralf Kornhuber

,

,

Harry Yserentant

Math. Comput., 2018

Numerical Homogenization of Heterogeneous Fractional Laplacians.

[BibT_eX]

[DOI]

Donald L. Brown

,

Joscha Gedicke

,

Multiscale Model. Simul., 2018

On the stability of the Rayleigh-Ritz method for eigenvalues.

[BibT_eX]

[DOI]

Dietmar Gallistl

,

P. Huber

,

Numerische Mathematik, 2017

Eliminating the pollution effect in Helmholtz problems by local subscale correction.

[BibT_eX]

[DOI]

Math. Comput., 2017

Computation of Quasi-Local Effective Diffusion Tensors and Connections to the Mathematical Theory of Homogenization.

[BibT_eX]

[DOI]

Dietmar Gallistl

,

Multiscale Model. Simul., 2017

Relaxing the CFL Condition for the Wave Equation on Adaptive Meshes.

[BibT_eX]

[DOI]

,

Mira Schedensack

J. Sci. Comput., 2017

The norm of a discretized gradient in \(\varvec{H({{\mathrm{div}}})^*}\) for a posteriori finite element error analysis.

[BibT_eX]

[DOI]

,

,

Andreas Schröder

Numerische Mathematik, 2016

A Multiscale Method for Porous Microstructures.

[BibT_eX]

[DOI]

Donald L. Brown

,

Multiscale Model. Simul., 2016

Robust Numerical Upscaling of Elliptic Multiscale Problems at High Contrast.

[BibT_eX]

[DOI]

,

Robert Scheichl

Comput. Methods Appl. Math., 2016

Complexity of hierarchical refinement for a class of admissible mesh configurations.

[BibT_eX]

[DOI]

,

,

,

Comput. Aided Geom. Des., 2016

Computation of eigenvalues by numerical upscaling.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2015

Simulation of Composite Materials by a Network FEM with Error Control.

[BibT_eX]

[DOI]

Martin Eigel

,

Comput. Methods Appl. Math., 2015

Analysis-suitable adaptive T-mesh refinement with linear complexity.

[BibT_eX]

[DOI]

Philipp Morgenstern

,

Comput. Aided Geom. Des., 2015

Two-Level Discretization Techniques for Ground State Computations of Bose-Einstein Condensates.

[BibT_eX]

[DOI]

,

,

SIAM J. Numer. Anal., 2014

Composite finite elements for elliptic interface problems.

[BibT_eX]

[DOI]

Math. Comput., 2014

Localization of elliptic multiscale problems.

[BibT_eX]

[DOI]

,

Math. Comput., 2014

Convergence of a Discontinuous Galerkin Multiscale Method.

[BibT_eX]

[DOI]

Daniel Elfverson

,

Emmanuil H. Georgoulis

,

,

SIAM J. Numer. Anal., 2013

Finite element network approximation of conductivity in particle composites.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2013

Optimal adaptive nonconforming FEM for the Stokes problem.

[BibT_eX]

[DOI]

,

,

Hella Rabus

Numerische Mathematik, 2013

Oversampling for the Multiscale Finite Element Method.

[BibT_eX]

[DOI]

,

Multiscale Model. Simul., 2013

Comparison Results of Finite Element Methods for the Poisson Model Problem.

[BibT_eX]

[DOI]

,

,

Mira Schedensack

SIAM J. Numer. Anal., 2012

Robustness of finite element simulations in densely packed random particle composites.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2012

Finite Elements for Elliptic Problems with Highly Varying, Nonperiodic Diffusion Matrix.

[BibT_eX]

[DOI]

,

Stefan A. Sauter

Multiscale Model. Simul., 2012

The Composite Mini Element - Coarse Mesh Computation of Stokes Flows on Complicated Domains.

[BibT_eX]

[DOI]