Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems

DOI10.1137/21m1466748zbMath1517.65085arXiv2112.10544OpenAlexW4380741142MaRDI QIDQ6108136

Unnamed Author, Robert Scheichl, Unnamed Author

Publication date: 29 June 2023

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.10544

zbMATH Keywords

Helmholtz equationmultiscale methodgeneralized finite element methodTrefftz methodslocal spectral spaces

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Numerical multiscale methods for waves in high-contrast media ⋮ Exponentially Convergent Multiscale Methods for 2D High Frequency Heterogeneous Helmholtz Equations

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