Improved extrapolated alternating direction implicit schemes for the numerical solution of three-dimensional elliptic problems

DOI10.1007/BF01931216zbMath0398.65064MaRDI QIDQ4181928

Apostolos Hadjidimos, N. P. Krimnianiotis, George Avdelas

Publication date: 1979

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

Numerical ExamplesPoisson EquationNumerical SolutionConvergence RatesComparison of the Various MethodsExtrapolated Alternating Direction Implicit Schemes

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

Improved extrapolated alternating direction implicit schemes for the numerical solution of three-dimensional elliptic problems ⋮ A fast method for choosing the optimum extrapolation parameter for an e.a.d.i. scheme

Cites Work

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• Alternating direction methods for three space variables
• Une nouvelle méthode de directions alternees à q variables
• On improving the convergence rates of extrapolated alternating direction implicit schemes
• Improved extrapolated alternating direction implicit schemes for the numerical solution of three-dimensional elliptic problems
• Optimum extrapolated ADI iterative difference schemes for the solution of Laplace's equation in three space variables
• Extended Application of Alternating Direction Implicit Iteration Model Problem Theory
• Extrapolated alternating direction implicit iterative methods

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