A Posteriori Error Estimation of $hp$-$dG$ Finite Element Methods for Highly Indefinite Helmholtz Problems

DOI10.1137/140973955zbMath1325.65147arXiv1407.1430OpenAlexW1833891341MaRDI QIDQ3196610

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Publication date: 30 October 2015

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

Full work available at URL: https://arxiv.org/abs/1407.1430

zbMATH Keywords

discontinuous Galerkin methodsa posteriori error estimationultra-weak variational formulation\(hp\)-finite elementsHelmholtz equation at high wavenumber

Mathematics Subject Classification ID

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)

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