Localized orthogonal decomposition for two-scale Helmholtz-type problems

DOI10.3934/Math.2017.2.458zbMath1427.65374arXiv1605.03410OpenAlexW2594710862MaRDI QIDQ2335232

Barbara Verfürth, Mario Ohlberger

Publication date: 14 November 2019

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.03410

zbMATH Keywords

finite elementsHelmholtz equationmultiscale methodnumerical homogenizationpollution effect

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) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) 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)

Related Items (5)

An offline-online strategy for multiscale problems with random defects ⋮ Numerical Homogenization of H(curl)-Problems ⋮ A localized reduced-order modeling approach for PDEs with bifurcating solutions ⋮ Heterogeneous Multiscale Method for the Maxwell equations with high contrast ⋮ Superconvergence of time invariants for the Gross–Pitaevskii equation

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