Volume integrals for boundary element methods

DOI10.1016/0377-0427(91)90158-GzbMath0752.65016MaRDI QIDQ1184105

Kurt Georg, Ralf Widmann, Eugene L. Allgower

Publication date: 28 June 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmsingularitiesPoisson's equationboundary element methodsadaptive refinementtrapezoidal ruleNumerical examplesvolume integralsadapted quadrature methods

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

Adaptive quadratures over volumes ⋮ On the piecewise constant collocation method for multidimensional weakly singular integral equations ⋮ Piecewise linear methods for nonlinear equations and optimization

Cites Work

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• Extensions of Lemke's algorithm for the linear complementarity problem
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• Discrete groups generated by reflections
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• Approximation of Integrals for Boundary Element Methods
• The Numerical Evaluation of Particular Solutions for Poisson's Equation
• Computing Volumes of Polyhedra
• A Nested Partitioning Procedure for Numerical Multiple Integration
• Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
• Quadrature over a Simplex: Part 1. A Representation for the Integrand Function
• Quadrature over a Simplex: Part 2. A Representation for the Error Functional
• An Algorithm for Piecewise Linear Approximation of Implicitly Defined Two-Dimensional Surfaces
• Integration over Multidimensional Hypercubes I. A Progressive Procedure

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