A Hybrid Direct/Iterative Algorithm for the Solution of Poisson’s Equation Based on the Schur Complement Method
An algorithm for efficient solution of large 3-D Poisson problems arising in the numerical simulation of the incompressible, unsteady Navier Stokes equations is presented. It is demonstrated that for a certain class of flows with onehomogeneouscoordinate direction an efficient load balancing on massively parallel machines can be achieved by simultaneous direct and iterative solution of 2-D Helmholtz problems. The use of the Schur complement method in conjunction with direct solution based on precomputed LU decomposition is capable to significantly reduce memory need and execution time
KeywordsFast Fourier Transform Iterative Solution Direct Solution Core Memory Capacitance Matrix
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