13 citations · 28 across the 18 of their papers we have counts for
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math.NA2021★ 7 cited
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…
math.NA2021
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 …
math.NA2021
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…