The numerical solution of Symm's equation on smooth open arcs by spline Galerkin methods

DOI10.1016/S0898-1221(99)00264-3zbMath0949.65136MaRDI QIDQ1972466

Francisco-Javier Sayas

Publication date: 21 November 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

collocation methodsplinesconvergence accelerationoptimal error estimatesRichardson extrapolationboundary elementsSymm's integral equationGalerkin methodslogarithmic kernelasymptotic expansions of errorcosine change

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)

Related Items (3)

High-order collocation and quadrature methods for some logarithmic kernel integral equations on open arcs. ⋮ Extrapolation techniques and the collocation method for a class of boundary integral equations ⋮ Mechanical quadrature methods and their splitting extrapolations for boundary integral equations of first kind on open arcs

Cites Work

• Unnamed Item
• A Galerkin collocation method for some integral equations of the first kind
• Extrapolation methods for spline collocation solutions of pseudodifferential equations on curves
• Fully discrete Galerkin methods for systems of boundary integral equations
• Asymptotic expansions of the error of spline Galerkin boundary element methods
• On integral equations of the first kind with logarithmic kernels
• The Numerical Solution of First-Kind Logarithmic-Kernel Integral Equations on Smooth Open Arcs
• Cosine Change of Variable for Symm's Integral Equation on Open Arcs
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Applications
• Mesh Grading for Integral Equations of the First Kind with Logarithmic Kernel

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