The \(h\)-\(p\) boundary element method for solving 2- and 3-dimensional problems

DOI10.1016/0045-7825(95)00940-XzbMath0918.73290OpenAlexW1966368254WikidataQ127982518 ScholiaQ127982518MaRDI QIDQ1371902

Ernst Peter Stephan

Publication date: 14 December 1997

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(95)00940-x

zbMATH Keywords

adaptive algorithmshypersingular integral equationsweakly singular integral equationspolygonsGalerkin solutionspolyhedral surfacesexponentially fast convergence

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02)

Related Items (8)

A p‐adaptive algorithm for the BEM with the hypersingular operator on the plane screen ⋮ Thehp-version of the boundary element method with quasi-uniform meshes in three dimensions ⋮ The unified transform for mixed boundary condition problems in unbounded domains ⋮ The optimal rate of convergence of the \(p\)-version of the boundary element method in two dimensions ⋮ Error estimation using hypersingular integrals in boundary element methods for linear elasticity. ⋮ On \(hp\)-error estimation in the BEM for a three-dimensional Helmholtz exterior problem ⋮ Multilevel methods for the \(h\)-, \(p\)-, and \(hp\)-versions of the boundary element method ⋮ Analysis of hypersingular residual error estimates in boundary element methods for potential problems

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