Boundary elements with mesh refinements for the wave equation

DOI10.1007/s00211-018-0954-6zbMath1407.65172arXiv1801.09736OpenAlexW3099692878MaRDI QIDQ1663299

Y. Aharonov

Publication date: 21 August 2018

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09736

zbMATH Keywords

wave equationboundary integral equationoptimal convergence ratesanisotropic Sobolev spacewedgeGalerkin discretizationDirichlet-to-Neumann operatorhypersingular operatorscreennumerical studiessingular expansionhorn effect\(\beta\)-graded meshapproximation of the tracepolydedral boundarysingle and double layer operatortensor product of piecewise polynomial finite elementstraffic noise

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic expansions of solutions to PDEs (35C20) Hydro- and aero-acoustics (76Q05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

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