A new Heterogeneous Multiscale Method for the Helmholtz equation with high contrast

zbMath1445.35131arXiv1605.03400MaRDI QIDQ5115584

Barbara Verfürth, Mario Ohlberger

Publication date: 17 August 2020

Full work available at URL: https://arxiv.org/abs/1605.03400

zbMATH Keywords

finite elementshomogenizationHelmholtz equationmultiscale methodtwo-scale convergence

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization in optics and electromagnetic theory (78M40)

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