The Qualocation Method for Symm's Integral Equation on a Polygon

DOI10.1002/mana.19961770107zbMath0851.65096OpenAlexW2089280711MaRDI QIDQ4874962

Siegfried Prössdorf, Johannes Elschner, Ian H. Sloan

Publication date: 28 April 1996

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19961770107

zbMATH Keywords

superconvergencePetrov-Galerkin methodSymm's integral equationlogarithmic kernelfirst kind integral equationnon-smooth boundaryqualocation methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) 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 (4)

A Chebyshev polynomial collocation Boundary Integral Equation Method (BIEM) for mixed boundary value problems on nonsmooth boundaries ⋮ Tolerant qualocation -- a qualocation method for boundary integral equations with reduced regularity requirement ⋮ A discrete collocation method for Symm's integral equation on curves with corners ⋮ Qualocation

Cites Work

• Piecewise-constant collocation for first-kind boundary integral equations
• Quadrature methods for Symm's integral equation on polygons
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