Parallel algorithms and applications · 1995 · 75 citations · 3 references
ComputingComputer ScienceHigh-performance ComputingDifferential EquationsParallel AlgorithmsParallel ComputingConvergence AnalysisIterative SolversNumerical AlgorithmsNumerical Methods For Differential EquationsParallel Numerical MethodsCoupled Partial Differential EquationsDifferential Equation SolversElliptic Partial Differential EquationsLinear Partial Differential EquationsParallel Nonlinear Equation SolversParallel Partial Differential Equation Solvers
In this paper we extend the 4-point explicit de-coupled group (EDG) iterative method, Abdullah (1991), to the 6 and 9-poinl EDG methods for the solution of elliptic partial differential equations. We will show graphically the technique of implementing the new grouping. Performance results for the algorithms are presented and a comparison with the 4-point scheme confirm the new groups to be computationally superior. Further, the implementations of the parallel 4, 6 and 9-point EDG methods on the Sequent Balance 8000 multiprocessor arc discussed and results from experiments performed are presented.
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