Finite-element heterogeneous multiscale method for the Helmholtz equation

DOI10.1016/j.crma.2014.07.006zbMath1301.65120OpenAlexW2088568870MaRDI QIDQ466198

Christian Stohrer, Patrick~jun. Ciarlet

Publication date: 24 October 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.07.006

zbMATH Keywords

numerical experimentsHelmholtz equationa priori error boundfinite element heterogeneous multiscale method

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

Multiscale scattering in nonlinear Kerr-type media ⋮ Computational Homogenization of Time-Harmonic Maxwell's Equations ⋮ Computational high frequency scattering from high-contrast heterogeneous media ⋮ Stability analysis of heterogeneous Helmholtz problems and finite element solution based on propagation media approximation ⋮ A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations ⋮ Localized orthogonal decomposition for two-scale Helmholtz-type problems

Cites Work

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• \(T\)-coercivity: application to the discretization of Helmholtz-like problems
• The heterogeneous multiscale methods
• The heterogeneous multiscale method
• Homogenization and Two-Scale Convergence

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