High-order collocation and quadrature methods for some logarithmic kernel integral equations on open arcs.

DOI10.1016/S0377-0427(03)00583-1zbMath1044.65087OpenAlexW2051326442MaRDI QIDQ1412822

Víctor Domínguez

Publication date: 25 November 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(03)00583-1

zbMATH Keywords

error boundssuperconvergenceLaplace equationboundary integral equationsHelmholtz equationcollocationquadraturelogarithmic kernel

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (8)

Discrete collocation method for Volterra type weakly singular integral equations with logarithmic kernels ⋮ A meshless discrete Galerkin (MDG) method for the numerical solution of integral equations with logarithmic kernels ⋮ A numerical scheme for solving a class of logarithmic integral equations arisen from two-dimensional Helmholtz equations using local thin plate splines ⋮ Mechanical quadrature methods and their splitting extrapolations for boundary integral equations of first kind on open arcs ⋮ The economized monic Chebyshev polynomials for solving weakly singular Fredholm integral equations of the first kind ⋮ Thin plate spline Galerkin scheme for numerically solving nonlinear weakly singular Fredholm integral equations ⋮ High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs ⋮ An optimal maintenance strategy for multi-state systems based on a system linear integral equation and dynamic programming

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