A Fast Numerical Solution for a Second Kind Boundary Integral Equation with a Logarithmic Kernel

DOI10.1137/0731026zbMath0805.65110OpenAlexW1980907643MaRDI QIDQ4305452

Yi Yan

Publication date: 2 February 1995

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0731026

zbMATH Keywords

boundary integral equationquadrature methodlogarithmic kernelexterior boundary value problempreconditioned iterative method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) 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 (14)

Application of thin plate splines for solving a class of boundary integral equations arisen from Laplace's equations with nonlinear boundary conditions ⋮ Fast solution of a class of periodic pseudodifferential equations ⋮ A periodic wavelet method for the second kind of the logarithmic integral equation ⋮ Solving a class of nonlinear boundary integral equations based on the meshless local discrete Galerkin (MLDG) method ⋮ On the optimal rate of convergence of the projection-iterative method and some generalizations of it on a class of equations with smoothing operators ⋮ On the complexity of boundary integral equations with analytic coefficients with logarithmic singularities ⋮ The decomposition method for solving a second kind fredholm integral equation with a logarithmic kernel ⋮ A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions ⋮ On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method ⋮ A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions ⋮ \(L_2\) error estimates of collocation methods for solving certain singular integral equations ⋮ Trigonometric Hermite wavelet approximation for the integral equations of second kind with weakly singular kernel ⋮ A simple Taylor-series expansion method for a class of second kind integral equations ⋮ The exact order of information-based complexity of weakly singular integral equations with periodic analytic coefficients

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