IEEE Transactions on Computers · 1973 · 42 citations · 7 references
ComputingComputer ScienceMathematicsComputational MechanicsParallel AlgorithmsParallel ComputingFinite Difference MethodsMatrix ComputationNumerical AlgorithmsNumerical AnalysisNumerical Linear AlgebraParallel Numerical MethodsFinite Difference ApproximationParallel Matrix ComputationParallel Matrix DecompositionParallel Partial Differential Equation SolversParallel SolversRelative Performance Analysis
The matrix decomposition Poisson solver is developed for the five-point difference approximation to Poisson's equation on a rectangle. This algorithm's suitability for parallel computation, its simplicity, its performance relative to successive overrelaxation, and its generality are then discussed.
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A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
R. W. Hockney · Journal of the ACM · 1965 · 692 citations · Full text