A.D.I. methods for the solution of diffusion problem in r-theta geometry

DOI10.1016/0045-7825(82)90009-3zbMath0478.65060OpenAlexW2015103712MaRDI QIDQ1161258

C. R. Gane, David J. Evans

Publication date: 1982

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(82)90009-3

zbMATH Keywords

comparisonconvergence ratesdiffusion problemsLaplace's equationalternating direction implicit methodsblock over-relaxation methodPeaceman-Rachford procedure

Mathematics Subject Classification ID

Heat equation (35K05) 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)

Cites Work

• The solution of elliptic partial differential equations in R-theta geometry by extrapolated A.D.I. methods
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Optimum Alternating-Direction-Implicit Iteration Parameters for a Model Problem
• Alternating Direction Implicit Methods
• Block Hopscotch Procedures for Second Order Parabolic Differential Equations
• A.D.I. Methods for the solution of transient heat conduction problems inr−θ geometry
• Stability and Convergence of Finite Difference Schemes with Singular Coefficients
• An Alternating-Direction-Implicit Iteration Technique
• Periodicity Effects on the Iterative Solution of Elliptic Difference Equations
• The Successive Peripheral Block Over-relaxation Method
• A New Computational Procedure for A.D.I. Methods
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