Alternating direction implicit preconditioning methods for self adjoint elliptic differential equations

DOI10.1016/0898-1221(81)90114-0zbMath0449.65066OpenAlexW2088393455MaRDI QIDQ1147499

David J. Evans

Publication date: 1980

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(81)90114-0

zbMATH Keywords

convergence ratespreconditioninglarge sparse linear systemsalternating direction implicit methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

Preconditioners based on the alternating-direction-implicit algorithm for the 2D steady-state diffusion equation with orthotropic heterogeneous coefficients ⋮ A comparison of rates of convergence for the modified alternating direction preconditioning (MADP) method

Cites Work

• On comparing optimum alternating direction preconditioning and extrapolated alternating direction implicit schemes
• Une nouvelle méthode de directions alternees à q variables
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• The Use of Pre-conditioning in Iterative Methods for Solving Linear Equations with Symmetric Positive Definite Matrices
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