Improved convergence rates for some discrete Galerkin methods

DOI10.1216/jiea/1181075955zbMath0873.65119OpenAlexW1985571217MaRDI QIDQ1353456

Michael A. Golberg

Publication date: 30 October 1997

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

Full work available at URL: https://doi.org/10.1216/jiea/1181075955

zbMATH Keywords

convergencepolynomial approximationspline approximationsdiscrete Galerkin methodCauchy singular equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations with kernels of Cauchy type (45E05)

Related Items

Discrete projection methods for Hammerstein integral equations on the half-line ⋮ SPECTRAL APPROXIMATION METHODS FOR FREDHOLM INTEGRAL EQUATIONS WITH NON-SMOOTH KERNELS ⋮ Convergence analysis of discrete Legendre spectral projection methods for Hammerstein integral equations of mixed type ⋮ Spectral Methods For Hammerstein Integral Equations with Nonsmooth Kernels ⋮ FAST DISCRETE SOLVERS FOR NONLINEAR HAMMERSTIEN EQUATIONS ⋮ Iterated discrete polynomially based Galerkin methods. ⋮ Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations ⋮ Discrete Legendre spectral Galerkin method for Urysohn integral equations ⋮ Polynomially based multi-projection methods for Fredholm integral equations of the second kind ⋮ Optimal convergence rates for some discrete projection methods

Uses Software

• LAPLAC

Cites Work

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• Perturbed projection methods for split equations of the first kind
• A Chebyshev expansion of singular integrodifferential equations with a \(\partial^ 2| n| s-t| / \partial s \partial t\) kernel
• Discrete projection methods for Cauchy singular integral equations with constant coefficients
• Exact solution of a simple hypersingular integral equation
• Discrete polynomial-based Galerkin methods for Fredholm integral equations
• A note on the sparse representation of discrete integral operators
• On Superconvergence Properties of Galerkin's Method for Compact Operator Equations
• End-point behaviour of solutions to hypersingular integral equations
• Algorithm 629
• Discrete Galerkin Methods for Fredholm Integral Equations of the Second Kind
• The Discrete Galerkin Method for Integral Equations
• On boundary integral equations for crack problems
• The Numerical Solution of Laplace’s Equation in Three Dimensions
• A Pseudospectral Three-Dimensional Boundary Integral Method Applied to a Nonlinear Model Problem from Finite Elasticity