Solving elliptic boundary-value problems on parallel processors by approximate inverse matrix semi-direct methods based on the multiple explicit Jacobi iteration

DOI10.1016/0898-1221(84)90047-6zbMath0565.65060OpenAlexW2027653562MaRDI QIDQ1058831

Elias A. Lipitakis

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)90047-6

zbMATH Keywords

convergencenumerical resultsinverse matrixNeumann seriesparallel processorsmultiple explicit Jacobi iterationsemi-direct methods

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Explicit preconditioned iterative methods for solving large unsymmetric finite element systems, Numerical solution of three-dimensional boundary-value problems by generalized approximate inverse matrix techniques, A class of explicit preconditioned conjugate gradient methods for solving large finite element systems

Cites Work

• Explicit semi-direct methods based on approximate inverse matrix techniques for solving boundary-value problems on parallel processors
• Approximating the inverse of a matrix for use in iterative algorithms on vector processors
• On sparse and compact preconditioned conjugate gradient methods for partial differential equations
• On Stable Parallel Linear System Solvers
• Asynchronous Iterative Methods for Multiprocessors
• Some Computer Organizations and Their Effectiveness
• Ordering of the iterative parameters in the cyclical Chebyshev iterative method
• The Extrapolated Modified Aitken Iteration Method for Solving Elliptic Difference Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item