Use of eigenfunctions in the optimization of the grid for the boundary element method

DOI10.1016/0021-9991(92)90232-NzbMath0811.65099OpenAlexW2027475492MaRDI QIDQ1195427

Ambar K. Mitra

Publication date: 23 November 1992

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(92)90232-n

zbMATH Keywords

boundary element methodnumerical experimentsintegral equationserror boundsLaplace equationgrid optimizationoptimal gridlocal eigenfunction analysis

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

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• A self-adaptive h-refinement technique for the boundary element method
• On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method
• Treatment of harmonic mixed boundary problems by conformal transformation methods
• p-adaptive boundary elements
• Grid optimization for the boundary element method
• The numerical solution of Stokes flow in a domain with re-entrant boundaries by the boundary element method

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