Cascadic multigrid methods combined with sixth order compact scheme for poisson equation |
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Authors: | Li Ming Li Chen-liang Cui Xiang-zhao Zhao Jin-e |
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Abstract: | Based on the extrapolation theory and a sixth order compact difference scheme, new extrapolation interpolation operator and extrapolation cascadic multigrid methods for two dimensional Poisson equation are presented. The new extrapolation interpolation operator is used to provide a better initial value on refined grid. The convergence of the new methods are given. Numerical experiments are shown to illustrate that the new methods have higher accuracy and efficiency. |
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