A sinc quadrature method for the double-layer integral equation in planar domains with corners

DOI10.1216/jiea/1181074232zbMath0916.65135OpenAlexW1992563060MaRDI QIDQ1275265

Ian H. Sloan, Frank Stenger, Rainer Kress

Publication date: 19 July 1999

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/JIE10-3/CONT10-3/CONT10-3.html

zbMATH Keywords

Dirichlet problemerror estimationLaplace equationdouble-layer integral equationMellin type integral equationsinc quadrature methodsinc quadrature rules

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

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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
• Numerical analysis for integral and related operator equations.
• An algorithm for the approximate solution of integral equations of Mellin type
• High-Order Methods for Linear Functionals of Solutions of Second Kind Integral Equations
• Linear integral equations