\(h\)-adaptive mesh refinement strategy for the boundary element method based on local error analysis

DOI10.1016/S0955-7997(01)00014-5zbMath1007.65101WikidataQ126590564 ScholiaQ126590564MaRDI QIDQ5951716

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Publication date: 20 March 2003

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

numerical exampleDirichlet problemsboundary element methodadaptive mesh refinementboundary integral equationLaplace equationcollocationremeshing\(h\)-refinementa posteriori error estimationad hoc uniform normNeumann problems

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)

Related Items (2)

An adaptive dual reciprocity scheme for the numerical solution of the Poisson equation ⋮ Dual error indicators for the local boundary integral equation method in 2D potential problems

Uses Software

• SERBA

Cites Work

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• A self-adaptive mesh refinement technique for boundary element solution of the Laplace equation
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• Analysis of hypersingular residual error estimates in boundary element methods for potential problems
• Recent studies on adaptive boundary element methods
• An \(hr\)-adaptive boundary element for water free-surface problems
• Adaptiveh-,p- andhp-versions for boundary integral element methods
• p-adaptive boundary elements
• Solution of elasticity problems by a self-adaptive mesh refinement technique for boundary element computation
• Grid optimization for the boundary element method
• An adaptiveh-r boundary element algorithm for the laplace equation
• The DRM-MD integral equation method: an efficient approach for the numerical solution of domain dominant problems
• HYPERSINGULAR RESIDUALS—A NEW APPROACH FOR ERROR ESTIMATION IN THE BOUNDARY ELEMENT METHOD

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