Stability and finite element error analysis for the Helmholtz equation with variable coefficients

DOI10.1090/mcom/3457zbMath1427.35016arXiv1803.00966OpenAlexW2943167654WikidataQ127935818 ScholiaQ127935818MaRDI QIDQ5235094

Ivan G. Graham, Stefan A. Sauter

Publication date: 7 October 2019

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00966

zbMATH Keywords

a priori estimateswell-posednessvariable densityHelmholtz equationhigh frequencyfinite element error analysisvariable wave speed

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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