The superconvergence of a Galerkin collocation method for first kind boundary integral equations on smooth curves

DOI10.1016/0377-0427(95)00242-1zbMath0878.65105OpenAlexW1969537936MaRDI QIDQ1923621

Huazhong Shu

Publication date: 21 November 1997

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

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00242-1

zbMATH Keywords

collocation methodGalerkin methoderror estimatesfinite element methodssuperconvergenceboundary integral equationssystem of integral equations

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

• A Galerkin collocation method for some integral equations of the first kind
• Integral equation methods for the Helmholtz equation
• On integral equations of the first kind with logarithmic kernels
• Some applications of a galerkin‐collocation method for boundary integral equations of the first kind
• Boundary Integral Equation Methods for Solving Laplace's Equation with Nonlinear Boundary Conditions: The Smooth Boundary Case
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Applications
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