A discrete collocation method for Symm's integral equation on curves with corners

DOI10.1016/S0377-0427(96)00070-2zbMath0868.65098MaRDI QIDQ2564287

Johannes Elschner, Ernst Peter Stephan

Publication date: 7 January 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencecollocation methodnumerical examplesSymm's integral equationlogarithmic kernelfirst kind boundary integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30) 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 (9)

A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains ⋮ Unnamed Item ⋮ A fast trigonometric collocation method for some elliptic pseudodifferential equations ⋮ Collocation with trigonometric polynomials for integral equations to the mixed boundary value problem ⋮ A Discrete Collocation Method for a Hypersingular Integral Equation on Curves with Corners ⋮ A Chebyshev polynomial collocation Boundary Integral Equation Method (BIEM) for mixed boundary value problems on nonsmooth boundaries ⋮ A numerical method and efficient preconditioner for generalized airfoil equations ⋮ The numerical solution of the axially symmetric linear sloshing problem by the boundary integral equation method ⋮ Numerical methods for integral equations of Mellin type

Cites Work

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• A Nyström method for boundary integral equations on domains with a piecewise smooth boundary
• A Nyström method for boundary integral equations in domains with corners
• A discrete Galerkin method for first kind integral equations with a logarithmic kernel
• An unconventional quadrature method for logarithmic-kernel integral equations on closed curves
• An optimal order collocation method for first kind boundary integral equations on polygons
• Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary
• The Numerical Solution of First-Kind Logarithmic-Kernel Integral Equations on Smooth Open Arcs
• Piecewise-constant collocation for first-kind boundary integral equations
• Quadrature Methods for Strongly Elliptic Equations of Negative Order on Smooth Closed Curves
• Quadrature methods for Symm's integral equation on polygons
• The Qualocation Method for Symm's Integral Equation on a Polygon

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