The block alternating group explicit method (blage) for the solution of elliptic difference equations

DOI10.1080/00207168708803590zbMath0658.65091OpenAlexW2026663650MaRDI QIDQ3806727

W. S. Yousif, David J. Evans

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207168708803590

zbMATH Keywords

Laplace equationalternating group explicit methodsmethods of alternating directions

Mathematics Subject Classification ID

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)

Related Items (15)

Preconditioned techniques for solving large sparse linear systems arising from the discretization of the elliptic partial differential equations ⋮ The smart-BLAGE algorithm for singularly perturbed 2D elliptic partial differential equations ⋮ Parabolic multi-grid method for incompressible viscous flows using a group explicit relaxation scheme ⋮ The AGE Galerkin method for solving two-point boundary value problems ⋮ Comparison of preconditioning techniques for solving linear systems arising from the fourth order approximation of the three-dimensional elliptic equation ⋮ The normalised alternating group explicit (nage) method ⋮ Strides reduction algorithms for block tridiagonal linear systems ⋮ Block iterative methods for the nine-point approximation to the convection-diffusion equation ⋮ The block alternating group explicit method (blage) to solve 2D-elliptic differential equations ⋮ A new parallel iterative algorithm for solving 2D poisson equation ⋮ Fourth-order accurate BLAGE iterative method for the solution of two-dimensional elliptic equations in polar co-ordinates ⋮ A parallel algorithm for solving block tridiagonal linear systems ⋮ Three-step BLAGE iterative method for two-dimensional elliptic boundary value problems with singularity ⋮ An analytical method as a preconditioning modeling for systems of linear equations ⋮ Block alternating group explicit preconditioning (blage) for a class of fourth order difference schemes

Cites Work

• Unnamed Item
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Group explicit iterative methods for solving large linear systems

This page was built for publication: The block alternating group explicit method (blage) for the solution of elliptic difference equations