Nyström’s Method and Iterative Solvers for the Solution of the Double-Layer Potential Equation over Polyhedral Boundaries

DOI10.1137/0732043zbMath0832.65127OpenAlexW2026808928MaRDI QIDQ4846781

Andreas Rathsfeld

Publication date: 4 September 1995

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0732043

zbMATH Keywords

stabilitycomputational complexitynumerical experimentsboundary integral equationLaplace equationmesh refinementasymptotic error estimatesNeumann series expansiontwo-grid iterationdouble-layer potential ansatzquadrature method of Nyström type

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) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Complexity and performance of numerical algorithms (65Y20) Boundary element methods for boundary value problems involving PDEs (65N38)

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