International Journal of Computer Mathematics · 1986 · 37 citations · 2 references
ComputingHigh-performance ComputingComputational MechanicsDifferential EquationsFinite Element MethodsFinite Difference MethodsIterative SolversNumerical AlgorithmsNumerical AnalysisNumerical Methods For Differential EquationsPartial Differential EquationsDiscretization Of Partial Differential EquationsElliptic Partial Differential EquationsFinite Difference DiscretizationFinite Difference SchemesFinite Difference Solution Of Partial Differential EquationsIterative Methods For Linear SystemsLaplace EquationSparse Linear Algebra
Abstract In this paper, a new explicit 8-point group over-relaxation scheme is presented for the numerical solution of the sparse linear systems derived from the finite difference discretisation of a self-adjoint elliptic partial differential equation in 3-space dimensions. A comparison with the usual point S.O.R. scheme for the Laplace model problem shows the new technique to be competitive. Keywords: Group over-relaxationexplicit 8 point BlockS.O.R. parallel computerC.R. Categories: 5.145.17G.1.8G.1.3
2
Iterative Solution of Large Linear Systems
Olof B. Widlund, David M. Young · Mathematics of Computation · 1973 · 2K citations