Error estimates for a discretized Galerkin method for a boundary integral equation in two dimensions

DOI10.1002/num.1690080502zbMath0756.65130OpenAlexW1995357705WikidataQ115399179 ScholiaQ115399179MaRDI QIDQ4015037

Frank Penzel

Publication date: 22 October 1992

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1690080502

zbMATH Keywords

error estimatesfinite elementsboundary integral equationLaplace equationsingle layer potentialquasioptimal convergencediscretized Galerkin methodmethod of Galerkin in collocation

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) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) 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 (6)

On quadrature methods for the double layer potential equation over the boundary of a polyhedron ⋮ Convergence of boundary element collocation methods for dirichlet and neumann screen problems in R³ ⋮ Galerkin approximation with quadrature for the screen problem in \(\mathbb{R}^3\) ⋮ Semi-discrete Galerkin approximations for the single-layer equation on Lipschitz curves ⋮ Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations ⋮ Quadrature methods for 2D and 3D problems

Cites Work

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