On the h-, p- and h-p versions of the boundary element method. - Numerical results

DOI10.1016/0045-7825(90)90125-6zbMath0732.65101OpenAlexW2006958110MaRDI QIDQ808663

F. V. Postell, Ernst Peter Stephan

Publication date: 1990

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(90)90125-6

zbMATH Keywords

Galerkin methodboundary element methodnumerical experimentsLaplace equationboundary integral equationshypersingular integral equationh-versionSymm's integral equationexponential convergence ratelogarithmic kernelnumerical implementationalgebraic convergence rateh-p-versionp- version

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

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• Adaptive boundary element methods for strongly elliptic integral equations
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• The h, p and h-p versions of the finite element method in 1 dimension. II. The error analysis of the h- and h-p versions
• The h, p and h-p versions of the finite element method in 1 dimension. III. The adaptive h-p version
• A hypersingular boundary integral method for two-dimensional screen and crack problems
• Boundary integral equations for mixed Dirichlet, Neumann and transmission problems
• Hierarchical boundary elements
• p-adaptive boundary elements
• On the Convergence of the p-Version of the Boundary Element Galerkin Method
• Thep-Version of the Finite Element Method
• The $h-p$ version of the boundary element method on polygonal domains with quasiuniform meshes

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