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- W2082274701 abstract "A fourth-order compact difference discretization scheme with unequal meshsizes in different coordinate directions is employed to solve a three-dimensional (3D) Poisson equation on a cubic domain. Two multgrid methods are developed to solve the resulting sparse linear systems. One is to use the full-coarsening multigrid method with plane Gauss–Seidel relaxation, which uses line Gauss–Seidel relaxation to compute each planewise solution. The other is to construct a partial semi-coarsening multigrid method with the traditional point or plane Gauss–Seidel relaxations. Numerical experiments are conducted to test the computed accuracy of the fourth-order compact difference scheme and the computational efficiency of the multigrid methods with the fourth-order compact difference scheme." @default.
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- W2082274701 creator A5053905172 @default.
- W2082274701 date "2010-09-01" @default.
- W2082274701 modified "2023-10-13" @default.
- W2082274701 title "Multigrid method and fourth-order compact difference discretization scheme with unequal meshsizes for 3D poisson equation" @default.
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- W2082274701 doi "https://doi.org/10.1016/j.jcp.2010.04.048" @default.
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