On a full discretization scheme for a hypersingular boundary integral equation over smooth curves

DOI10.4171/ZAA/598zbMath0782.65133MaRDI QIDQ686835

Ralf Kieser, B. Kleemann, Andreas Rathsfeld

Publication date: 13 October 1993

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergenceerror estimatesnumerical examplesquadrature methodtwo-dimensional potential problemshypersingular boundary integral equationssingularity substractiontrigonometric Galerkin method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (10)

Fast solution of a class of periodic pseudodifferential equations ⋮ A fully discrete Galerkin method for integral and pseudodifferential equations on closed curves ⋮ On the numerical solution of a hypersingular integral equation in scattering theory ⋮ A quadrature method for the hypersingular integral equation on an interval ⋮ A Discrete Collocation Method for a Hypersingular Integral Equation on Curves with Corners ⋮ The factorization method for cracks in electrical impedance tomography ⋮ A collocation method for a hypersingular boundary integral equation via trigonometric differentiation ⋮ Fast solvers of integral and pseudodifferential equations on closed curves ⋮ Quadrature methods for 2D and 3D problems ⋮ The numerical solution of an evolution problem of second order in time on a closed smooth boundary

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