A boundary element method for Laplace's equation without numerical integrations

DOI10.1016/S0096-3003(00)00009-6zbMath1024.65115OpenAlexW1971583394MaRDI QIDQ1855038

Shih-yu Shen

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00009-6

zbMATH Keywords

collocation methodnumerical examplesDirichlet problemsboundary element methodsingular solutionssecond-order methodmixed boundary value problemLaplace's equationdouble-layer potential

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Nyström method for boundary integral equations in domains with corners
• Boundary Methods for Solving Elliptic Problems with Singularities and Interfaces
• On the Convergence of Collocation Methods for Boundary Integral Equations on Polygons
• High-Order Methods for Linear Functionals of Solutions of Second Kind Integral Equations
• Modified methods of fundamental solutions for harmonic and biharmonic problems with boundary singularities
• A Collocation Method for the Numerical Solution of Laplace’s Equation with Nonlinear Boundary Conditions on a Polygon
• Fast High Order Accurate Solution of Laplace’s Equation on Irregular Regions
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• Linear integral equations
• Quadratic spline interpolation

This page was built for publication: A boundary element method for Laplace's equation without numerical integrations