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Error estimates for a discretized Galerkin method for a boundary integral equation in two dimensions. (English) Zbl 0756.65130

This paper presents a priori and a posteriori estimates for the error between the Galerkin and a discretized Galerkin method for the boundary integral equation for the single layer potential on a square plate. No numerical example.

MSC:

65N38 Boundary element methods for boundary value problems involving PDEs
65R20 Numerical methods for integral equations
65N15 Error bounds for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35C15 Integral representations of solutions to PDEs
35J25 Boundary value problems for second-order elliptic equations
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
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