Robust Adaptive $hp$ Discontinuous Galerkin Finite Element Methods for the Helmholtz Equation

DOI10.1137/18M1207909zbMath1414.65029arXiv1808.03567OpenAlexW2963636343MaRDI QIDQ4632010

Ilaria Perugia, Scott Congreve, Joscha Gedicke

Publication date: 25 April 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03567

zbMATH Keywords

a posteriori error analysisHelmholtz problempotential reconstructionequilibrated fluxes\(hp\) discontinuous Galerkin finite element 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

A discontinuous least squares finite element method for the Helmholtz equation, Adaptive finite element method for the sound wave problems in two kinds of media, On the derivation of guaranteed and \(p\)-robust a posteriori error estimates for the Helmholtz equation, Adaptive virtual element methods with equilibrated fluxes

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