The computation of potentials near and on the boundary by an extraction technique for boundary element methods

DOI10.1016/S0045-7825(97)00237-5zbMath0943.65138OpenAlexW1968119779MaRDI QIDQ1971190

Wolfgang L. Wendland, Christoph Schwab, Heiko Schulz

Publication date: 22 March 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00237-5

zbMATH Keywords

Dirichlet problemLaplace equationboundary integral equationsboundary element methodspotentialsbootstrapping algorithmCauchy singular or weakly singular integrals

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

• Numerical analysis for integral and related operator equations.
• On numerical cubatures of singular surface integrals in boundary element methods
• A finite element method for some integral equations of the first kind
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• On the Asymptotic Convergence of Collocation Methods
• Strong ellipticity of boundary integral operators.
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Pointwise convergence of some boundary element methods. Part II
• Kernel Properties and Representations of Boundary Integral Operators
• On the extraction technique in boundary integral equations
• New Error Coefficients for Estimating Quadrature Errors for Analytic Functions
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