Daniel Peterseim | DeepAI

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∙ 09/21/2023

Super-localised wave function approximation of Bose-Einstein condensates

This paper presents a novel spatial discretisation method for the reliab...

0 Daniel Peterseim, et al. ∙

∙ 07/28/2023

Computational polyconvexification of isotropic functions

Based on the characterization of the polyconvex envelope of isotropic fu...

0 Timo Neumeier, et al. ∙

∙ 11/28/2022

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

This paper presents a method for the numerical treatment of reaction-con...

0 Francesca Bonizzoni, et al. ∙

∙ 11/24/2022

Computational multiscale methods for nondivergence-form elliptic partial differential equations

This paper proposes novel computational multiscale methods for linear se...

0 Philip Freese, et al. ∙

∙ 11/24/2022

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

This paper presents computationally feasible rank-one relaxation algorit...

0 Daniel Balzani, et al. ∙

∙ 11/17/2022

A Super-Localized Generalized Finite Element Method

This paper presents a novel multi-scale method for elliptic partial diff...

0 Philip Freese, et al. ∙

∙ 09/06/2022

Neural network approximation of coarse-scale surrogates in numerical homogenization

Coarse-scale surrogate models in the context of numerical homogenization...

0 Fabian Kröpfl, et al. ∙

∙ 06/04/2022

Super-localized orthogonal decomposition for convection-dominated diffusion problems

This paper presents a multi-scale method for convection-dominated diffus...

0 Francesca Bonizzoni, et al. ∙

∙ 12/21/2021

Super-localized Orthogonal Decomposition for high-frequency Helmholtz problems

We propose a novel variant of the Localized Orthogonal Decomposition (LO...

0 Philip Freese, et al. ∙

∙ 08/22/2021

Energy-adaptive Riemannian optimization on the Stiefel manifold

This paper addresses the numerical simulation of nonlinear eigenvector p...

0 Robert Altmann, et al. ∙

∙ 07/28/2021

Super-localization of elliptic multiscale problems

Numerical homogenization aims to efficiently and accurately approximate ...

0 Moritz Hauck, et al. ∙

∙ 05/25/2021

Operator Compression with Deep Neural Networks

This paper studies the compression of partial differential operators usi...

0 Fabian Kröpfl, et al. ∙

∙ 04/22/2021

Multi-resolution Localized Orthogonal Decomposition for Helmholtz problems

We introduce a novel multi-resolution Localized Orthogonal Decomposition...

0 Moritz Hauck, et al. ∙

∙ 06/01/2020

Localization and delocalization of ground states of Bose-Einstein condensates under disorder

This paper studies the localization behaviour of Bose-Einstein condensat...

0 Robert Altmann, et al. ∙

∙ 05/04/2020

Reconstruction of quasi-local numerical effective models from low-resolution measurements

We consider the inverse problem of reconstructing an effective model for...

0 Alfonso Caiazzo, et al. ∙

∙ 08/01/2019

The J-method for the Gross-Pitaevskii eigenvalue problem

This paper studies the J-method of [E. Jarlebring, S. Kvaal, W. Michiels...

0 Robert Altmann, et al. ∙

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