IPCDGM and multiscale IPDPGM for the Helmholtz problem with large wave number

DOI10.1016/j.cam.2019.112590zbMath1440.65189OpenAlexW2985433202MaRDI QIDQ2293627

Yanyan Li

Publication date: 5 February 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112590

zbMATH Keywords

multiscale methodHelmholtz problempollution effectlarge wave numberinterior penalty continuous-discontinuous Galerkin methodpreasymptotic error estimate

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

A combined multiscale finite element method based on the LOD technique for the multiscale elliptic problems with singularities ⋮ A simple proof that the \textit{hp}-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation ⋮ An optimal fourth-order finite difference scheme for the Helmholtz equation based on the technique of matched interface boundary ⋮ A sharp relative-error bound for the Helmholtz \(h\)-FEM at high frequency

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