Plane wave discontinuous Galerkin methods: exponential convergence of the \(hp\)-version

DOI10.1007/s10208-015-9260-1zbMath1347.65176OpenAlexW1758897595MaRDI QIDQ300887

Ilaria Perugia, Ralf Hiptmair, Andrea Moiola

Publication date: 29 June 2016

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10208-015-9260-1

zbMATH Keywords

Helmholtz equationexponential convergence\(hp\)-versionapproximation by plane wavesTrefftz-discontinuous Galerkin method

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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