The solution of elliptic partial differential equations in R-theta geometry by extrapolated A.D.I. methods

DOI10.1016/0378-4754(81)90023-9zbMath0464.65064OpenAlexW1969521693WikidataQ115363211 ScholiaQ115363211MaRDI QIDQ1154227

George Avdelas, David J. Evans

Publication date: 1981

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(81)90023-9

zbMATH Keywords

convergence ratesnumerical experimentsLaplace equationcircular symmetryacceleration factorsextrapolated alternating direction implicit methods

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

High order difference methods for heat equation in polar cylindrical coordinates ⋮ A norm estimate for the ADI method for nonsymmetric problems ⋮ Numerical methods for viscous and nonviscous wave equations ⋮ Three-level extrapolated alternating direction implicit (E.A.D.I.) methods for the numerical solution of two-dimensional second order elliptic problems ⋮ A.D.I. methods for the solution of diffusion problem in r-theta geometry ⋮ On the general problem of formulation and optimization of a p-parametric extrapolated alternating direction implicit sheme

Cites Work

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• Alternating direction methods for three space variables
• Solving Laplace's equation in a rectangle by alternating direction implicit methods
• On improving the convergence rates of extrapolated alternating direction implicit schemes

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