On the \(h\)-\(p\) version of the boundary element method for Symm's integral equation on polygons

DOI10.1016/0045-7825(93)90017-RzbMath0842.65076OpenAlexW1972789047MaRDI QIDQ1912170

Norbert Heuer, Ernst Peter Stephan, Vincent J. Ervin

Publication date: 5 August 1996

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(93)90017-r

zbMATH Keywords

boundary element methodnumerical experimentsadaptive algorithmSymm's integral equationGalerkin approximation\(h\)-\(p\) version

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Unnamed Item, Efficient algorithms for the \(p\)-version of the boundary element method, Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem, The \(h\)-\(p\) boundary element method for solving 2- and 3-dimensional problems, A nonconforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator, A p‐adaptive algorithm for the BEM with the hypersingular operator on the plane screen, Adaptive coupling of boundary elements and finite elements, Discontinuous Galerkin \(hp\)-BEM with quasi-uniform meshes, A posterior error estimates for hp—boundary element methods, A Nitsche-based domain decomposition method for hypersingular integral equations, Radial basis functions for the solution of hypersingular operators on open surfaces, A posteriori error analysis for a boundary element method with nonconforming domain decomposition, A Posteriori Error Estimates for Boundary Element Methods, \(h\)-adaptive boundary element schemes, Adaptive \(h\)- and \(h\)-\(r\) methods for Symm's integral equation, Crouzeix-Raviart boundary elements, The boundary element method with Lagrangian multipliers, The \(hp\)-version of the boundary element method on polygons, Computable error bounds for variational functionals of solutions of a convolution integral equations of the first kind

Cites Work

• The h-p version of the boundary element method with geometric mesh on polygonal domains
• On the h-, p- and h-p versions of the boundary element method. - Numerical results
• Adaptive boundary element methods for strongly elliptic integral equations
• Error estimates for the combined h and p versions of the finite element method
• The h, p and h-p versions of the finite element method in 1 dimension. III. The adaptive h-p version
• On the exponential convergence of theh-p version for boundary element Galerkin methods on polygons
• Adaptiveh-,p- andhp-versions for boundary integral element methods
• On the Convergence of the p-Version of the Boundary Element Galerkin Method
• The $h-p$ version of the boundary element method on polygonal domains with quasiuniform meshes
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