Block alternating group explicit preconditioning (blage) for a class of fourth order difference schemes

DOI10.1080/00207169708804555zbMath0880.65081OpenAlexW2009288786MaRDI QIDQ3123357

Muddun Bhuruth, David J. Evans

Publication date: 8 January 1998

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169708804555

zbMATH Keywords

numerical examplespreconditioningconjugate gradient methodPoisson equationKrylov subspace iterative methodsunsymmetric systemsblock alternating group explicit method

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

Preconditioned techniques for solving large sparse linear systems arising from the discretization of the elliptic partial differential equations ⋮ Comparison of preconditioning techniques for solving linear systems arising from the fourth order approximation of the three-dimensional elliptic equation ⋮ A simple form for the fourth order difference method for 3-D elliptic equations ⋮ An analytical method as a preconditioning modeling for systems of linear equations

Uses Software

• CGS

Cites Work

• A survey of preconditioned iterative methods for linear systems of algebraic equations
• QMR: A quasi-minimal residual method for non-Hermitian linear systems
• Two parameter age (tage) method for the solution of a tradiagonal linear system of equations
• Block Preconditioning for the Conjugate Gradient Method
• Alternating group explicit (AGE) iterative methods
• The block alternating group explicit method (blage) for the solution of elliptic difference equations
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• A fourth‐order difference method for elliptic equations with nonlinear first derivative terms
• An Implementation of the QMR Method Based on Coupled Two-Term Recurrences
• Alternating Direction Preconditioning for Nonsymmetric Systems of Linear Equations
• Iterative Solution Methods
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