Adaptive quadratures over volumes

DOI10.1007/BF02253430zbMath0749.65017OpenAlexW1528283567MaRDI QIDQ1180343

Kurt Georg, Ralf Widmann

Publication date: 27 June 1992

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02253430

zbMATH Keywords

boundary integral methodquadrature formulatest problemstrapezoidal ruleRomberg extrapolationweak singularityNumerical resultsvolume integralsadaptive extrapolative quadrature algorithmCoxeter-Freudenthal triangulation method

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Numerical methods for integral equations (65R20) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

Volume integrals for boundary element methods ⋮ Some Error Estimates for the Numerical Approximation of Surface Integrals

Cites Work

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• New Euler-Maclaurin Expansions and Their Application to Quadrature Over the s-Dimensional Simplex
• 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

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