A method for preconditioning matrices arising from linear integral equations for elliptic boundary value problems

DOI10.1007/BF02253186zbMath0589.65089OpenAlexW201580082MaRDI QIDQ1074331

Lothar Reichel

Publication date: 1986

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02253186

zbMATH Keywords

numerical examplesboundary element methodsecond kindfirst kindFourier methodspreconditioning method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Numerical computation of matrix norms, conditioning, scaling (65F35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (2)

Fast solution of a class of periodic pseudodifferential equations ⋮ First kind integral equations for the numerical solution of the plane Dirichlet problem

Cites Work

• On the determination of boundary collocation points for solving some problems for the Laplace operator
• A fast method for solving certain integral equations of the first kind with application to conformal mapping
• A practical guide to splines
• Fast Fourier Methods in Computational Complex Analysis
• On the Asymptotic Convergence of Collocation Methods
• Some applications of a galerkin‐collocation method for boundary integral equations of the first kind
• Multiple Grid Methods for the Solution of Fredholm Integral Equations of the Second Kind
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