A plane wave virtual element method for the Helmholtz problem

DOI10.1051/m2an/2015066zbMath1343.65137arXiv1505.04965OpenAlexW2963893869MaRDI QIDQ2814657

Paola Pietra, Ilaria Perugia, Alessandro Russo

Publication date: 22 June 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.04965

zbMATH Keywords

convergencestabilizationerror analysisHelmholtz equationnumerical resultvirtual element methodplane wave basis functionsduality estimates

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)

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