Fully discrete Galerkin methods for systems of boundary integral equations

DOI10.1016/S0377-0427(97)00069-1zbMath0882.65107MaRDI QIDQ1362419

Francisco-Javier Sayas

Publication date: 5 March 1998

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

zbMATH Keywords

stabilityconvergenceerror boundsextrapolationquadrature formulaefully discrete Galerkin methodsGalerkin collocation methodspline Galerkin methodsystems of boundary integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Computing the Newton potential in the boundary integral equation for the Dirichlet problem of the Poisson equation, Extrapolation techniques and the collocation method for a class of boundary integral equations, The numerical solution of Symm's equation on smooth open arcs by spline Galerkin methods, Fast Fourier-Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition

Cites Work

• A Galerkin collocation method for some integral equations of the first kind
• Asymptotic expansions of the error of spline Galerkin boundary element methods
• On integral equations of the first kind with logarithmic kernels
• Invertibility of the biharmonic single layer potential operator
• On the Asymptotic Convergence of Collocation Methods
• Some applications of a galerkin‐collocation method for boundary integral equations of the first kind
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Applications
• On the Sloan iteration applied to integral equations of the first kind
• Solution of Boundary Value Problems by Integral Equations of the First Kind
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