Fast Poisson solvers on general two dimensional regions for the Dirichlet problem

DOI10.1007/BF01404568zbMath0431.65064OpenAlexW2004796331MaRDI QIDQ1138357

A. S. L. Shieh

Publication date: 1979

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132587

zbMATH Keywords

Dirichlet problemPoisson's equationfast Poisson solverscapacitance matrix methodfirst and second order schemesgeneral two dimensional regions

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (8)

A direct solver for a class of symmetric linear systems ⋮ A fast Poisson solver ⋮ The method of fictitious right-hand sides ⋮ On the convergence of the conjugate gradient method for singular capacitance matrix equations from the Neumann problem of the Poisson equation ⋮ A capacitance matrix method for Dirichlet problem on polygon region ⋮ Bibliography on the evaluation of numerical software ⋮ Direct method for a class of symmetric linear systems ⋮ Fast elliptic solvers - an overview

Cites Work

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• XXII.—Random Paths in Two and Three Dimensions
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