179 citations · 613 across the 39 of their papers we have counts for
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Super-localized Orthogonal Decomposition for high-frequency Helmholtz problems
Philip Freese, Moritz Hauck, Daniel Peterseim
We propose a novel variant of the Localized Orthogonal Decomposition (LOD) method for time-harmonic scattering problems of Helmholtz type with high wavenumber . On a coarse mesh…
Energy-adaptive Riemannian optimization on the Stiefel manifold
Robert Altmann, Daniel Peterseim, Tatjana Stykel
This paper addresses the numerical solution of nonlinear eigenvector problems such as the Gross-Pitaevskii and Kohn-Sham equation arising in computational physics and chemistry. Th…
Super-localization of elliptic multiscale problems
Moritz Hauck, Daniel Peterseim
Numerical homogenization aims to efficiently and accurately approximate the solution space of an elliptic partial differential operator with arbitrarily rough coefficients in a …
Operator Compression with Deep Neural Networks
Fabian Kröpfl, Roland Maier, Daniel Peterseim
This paper studies the compression of partial differential operators using neural networks. We consider a family of operators, parameterized by a potentially high-dimensional space…
Multi-resolution Localized Orthogonal Decomposition for Helmholtz problems
Moritz Hauck, Daniel Peterseim
We introduce a novel multi-resolution Localized Orthogonal Decomposition (LOD) for time-harmonic acoustic scattering problems that can be modeled by the Helmholtz equation. The met…