High order numerical quadratures for layer potentials over curved domains in \(\mathbb{R}^ 3\)

DOI10.1016/S0045-7825(94)80031-6zbMath0827.65030OpenAlexW2533344434MaRDI QIDQ1892469

Jean-Luc Guermond

Publication date: 18 December 1995

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(94)80031-6

zbMATH Keywords

error estimatespotential theoryboundary element methodexterior Neumann problemlayer potentialscurved domainssurface integralsGauss Legendre quadrature formulae

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) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Cites Work

• An Analysis of Quadrature Errors in Second-Kind Boundary Integral Methods
• Numerical Quadratures for Layer Potentials over Curved Domains in $\mathbb{R}^3 $
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