On numerical cubatures of nearly singular surface integrals arising in BEM collocation
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Publication:1319045
DOI10.1007/BF02238073zbMath0799.65028OpenAlexW43794526MaRDI QIDQ1319045
Stefan A. Sauter, Wolfgang Hackbusch
Publication date: 17 November 1994
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02238073
cubaturenumerical resultsboundary element methodcollocationGauss-Legendre quadraturesingular surface integrals
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) Integral equations with kernels of Cauchy type (45E05)
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Cites Work
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- Curved finite element methods for the solution of singular integral equations on surfaces in \(R^3\)
- On the efficient use of the Galerkin-method to solve Fredholm integral equations
- An Analysis of Quadrature Errors in Second-Kind Boundary Integral Methods
- A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
- A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
- Kernel Properties and Representations of Boundary Integral Operators
- Piecewise Polynomial Collocation for Boundary Integral Equations
- New Error Coefficients for Estimating Quadrature Errors for Analytic Functions
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