Two-grid solution of boundary integral equations on closed curves

DOI10.1080/01630569608816727zbMath0882.65105OpenAlexW1493064159MaRDI QIDQ4354836

Jukka Saranen, Gennadi Vainikko

Publication date: 5 March 1998

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569608816727

zbMATH Keywords

numerical experimentserror estimateboundary integral equationsSymm's integral equationquadrature-collocation methodstwo-grid iteration methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) 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 (1)

Fast collocation solvers for integral equations on open arcs

Cites Work

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• A discrete Galerkin method for first kind integral equations with a logarithmic kernel
• The modified quadrature method for logarithmic-kernel integral equations on closed curves
• On integral equations of the first kind with logarithmic kernels
• Über die numerische Behandlung von Integralgleichungen nach der Quadraturformelmethode
• Iterative variants of the Nystrom method for the numerical solution of integral equations
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
• Quadrature methods for logarithmic-kernel integral equations on closed curves
• Quadrature Methods for Strongly Elliptic Equations of Negative Order on Smooth Closed Curves

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