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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...
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07/28/2023
Computational polyconvexification of isotropic functions
Based on the characterization of the polyconvex envelope of isotropic fu...
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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...
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11/24/2022
Computational multiscale methods for nondivergence-form elliptic partial differential equations
This paper proposes novel computational multiscale methods for linear se...
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11/24/2022
Multidimensional rank-one convexification of incremental damage models at finite strains
This paper presents computationally feasible rank-one relaxation algorit...
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11/17/2022
A Super-Localized Generalized Finite Element Method
This paper presents a novel multi-scale method for elliptic partial diff...
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09/06/2022
Neural network approximation of coarse-scale surrogates in numerical homogenization
Coarse-scale surrogate models in the context of numerical homogenization...
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06/04/2022
Super-localized orthogonal decomposition for convection-dominated diffusion problems
This paper presents a multi-scale method for convection-dominated diffus...
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12/21/2021
Super-localized Orthogonal Decomposition for high-frequency Helmholtz problems
We propose a novel variant of the Localized Orthogonal Decomposition (LO...
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08/22/2021
Energy-adaptive Riemannian optimization on the Stiefel manifold
This paper addresses the numerical simulation of nonlinear eigenvector p...
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07/28/2021
Super-localization of elliptic multiscale problems
Numerical homogenization aims to efficiently and accurately approximate ...
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05/25/2021
Operator Compression with Deep Neural Networks
This paper studies the compression of partial differential operators usi...
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04/22/2021
Multi-resolution Localized Orthogonal Decomposition for Helmholtz problems
We introduce a novel multi-resolution Localized Orthogonal Decomposition...
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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...
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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...
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08/01/2019