Abstract
In Yousif and Evans [4], the explicit group iterative method for solving elliptic partial differential equations (p.d.e.’s) was introduced and investigated where the method was found to be more superior than the common block Successive Over Relaxation (S.O.R.) schemes. The method was also observed to possess inherent parallelism in its formulation. In this paper, we investigate the implementation of this group method on a message passing architecture, specifically on a cluster of workstations with PVM programming environment.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Evans, D.J., Abdullah, A.R.: A New Explicit Method for the Solution of \(\frac {\partial u} {\partial t}\) = \(\frac {\partial^{2} u} {\partial x^{2}}\) + \(\frac {\partial^{2} u} {\partial y^{2}}\). International Journal of Computer Mathematics 14, 325–353 (1983)
Evans, D.J., Sahimi, M.S.: The Alternating Group Explicit(AGE) Iterative Method for Solving Parabolic Equations, 1-2 Dimensional Problems. International Journal of Computer Mathematics 24, 250–281 (1988)
Evans, D.J., Yousif, W.S.: The Implementation of The Explicit Block Iterative Methods On the Balance 8000 Parallel Computer. Parallel Computing 16, 81–97 (1990)
Yousif, W.S., Evans, D.J.: Explicit group over-relaxation methods for solving elliptic partial differential equations. Math. Computer Simulation 28, 453–466 (1986)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Norhashidah Hj., M.A., Abdullah, R., Lee, J.K. (2003). Explicit Group Iterative Solver on a Message Passing Environment. In: Dongarra, J., Laforenza, D., Orlando, S. (eds) Recent Advances in Parallel Virtual Machine and Message Passing Interface. EuroPVM/MPI 2003. Lecture Notes in Computer Science, vol 2840. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39924-7_34
Download citation
DOI: https://doi.org/10.1007/978-3-540-39924-7_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20149-6
Online ISBN: 978-3-540-39924-7
eBook Packages: Springer Book Archive