Generalized ADI preconditioning

DOI10.1016/0898-1221(84)90076-2zbMath0578.65027OpenAlexW2069918778MaRDI QIDQ1066614

Eugene L. Wachspress

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0898-1221(84)90076-2

zbMATH Keywords

multigrid methodsconjugate gradientserror reductionADI preconditioningADI-method

Mathematics Subject Classification ID

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

Related Items (9)

Matrix-equation-based strategies for convection-diffusion equations ⋮ Optimal alternating direction implicit preconditioners for conjugate gradient methods ⋮ Trail to a Lyapunov equation solver ⋮ Consistent sparse factorization of elliptic difference equations ⋮ A domain decomposition method for isogeometric multi-patch problems with inexact local solvers ⋮ Robust isogeometric preconditioners for the Stokes system based on the fast diagonalization method ⋮ Matrix equation techniques for certain evolutionary partial differential equations ⋮ Space–time least–squares isogeometric method and efficient solver for parabolic problems ⋮ Three-variable alternating-direction-implicit iteration

Cites Work

• On the approximation of a function of several variables by the sum of functions of fewer variables
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Polynomial Preconditioners for Conjugate Gradient Calculations
• Optimum Alternating-Direction-Implicit Iteration Parameters for a Model Problem
• Alternating Direction Implicit Methods
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• An Alternating-Direction-Implicit Iteration Technique
• On Direct Methods for Solving Poisson’s Equations
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions
• Extended Application of Alternating Direction Implicit Iteration Model Problem Theory
• Use of Fast Direct Methods for the Efficient Numerical Solution of Nonseparable Elliptic Equations
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