scientific article

zbMath0737.65085MaRDI QIDQ3973820

Kendall E. Atkinson

Publication date: 26 June 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Galerkin methoderror estimatesFredholm integral equationsPoisson's equationcollocation methodsboundary integral equationsresearch surveymulti-grid methodsdirect methodsthree dimensionsLaplace's equationDirichlet and Neumann problemselliptic pseudo-differential operatorsindirect methodsinterior and exterior problems

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) 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

Numerical simulation of tridimensional electromagnetic shaping of liquid metals, Convergence analysis for the harmonic balance method, Radial basis functions for solving near singular Poisson problems, Improved convergence rates for some discrete Galerkin methods, A note on the sparse representation of discrete integral operators, A method for solving an exterior three-dimensional boundary value problem for the Laplace equation, A discrete collocation method for boundary integral equations, On integral representations for the axially symmetric Helmholtz Green's function, The numerical solution of the exterior Dirichlet problem for Helmholtz's equation via modified Green's functions approach., An extrapolation method for a class of boundary integral equations, Adaptive quadratures over volumes, Conjugate gradient methods for the solution of boundary integral equations on a piecewise smooth boundary, Volume integrals for boundary element methods, A Nyström method for boundary integral equations on domains with a piecewise smooth boundary, Spline collocation for strongly elliptic equations on the torus, Some Error Estimates for the Numerical Approximation of Surface Integrals, A multi-level boundary element method for Stokes flows in irregular two-dimensional domains, The numerical solution of exterior Neumann problem for Helmholtz's equation via modified Green's functions approach, Special issue in honor of Philip M. Anselone, A fast wavelet collocation method for integral equations on polygons, A meshless like method for the approximate solution of integral equations over polygons, Adaptive \(h\)- and \(h\)-\(r\) methods for Symm's integral equation, Asymptotic Approximations for the Close Evaluation of Double-Layer Potentials, The collocation method for solving the radiosity equation for unoccluded surfaces, Piecewise polynomial collocation for integral equations with a smooth kernel on surfaces in three dimensions