A High Frequency $hp$ Boundary Element Method for Scattering by Convex Polygons

DOI10.1137/110856812zbMath1267.65191OpenAlexW2028573964MaRDI QIDQ4918822

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Publication date: 6 May 2013

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

Full work available at URL: https://doi.org/10.1137/110856812

zbMATH Keywords

error estimatesnumerical examplesboundary element methodHelmholtz equationexponential convergencehigh frequency scattering\(hp\)-methodbest approximation resultssound-soft polygon

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

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