Poisson方程的高精度有限差分格式
HIIGHER ORDER DIFFERENCE SCHEMES OF P01SSON EQUATIONS
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摘要: 本文提出数值求解Poisson方程的含选择因子α的预示校正差分格式,它具有四阶精度。第一种格式处理Drichlet边界条件的Poisson方程,它包括Bramble的差分格式和林群、吕涛提出的差分外推格式。第二种格式处理Neumann边界条件的Poisson方程。对于工程计算常用的粗糙网络,作者建议采用α≲0.5的预示校正差分格式。Abstract: Higher order accuracy difference schemes of Poisson equations have been discussed in this paper.The first scheme deals with Drichlet boundary condition, and the second one deals with Neumann boundary condition.The predictor-corrector procedure with α≲0.5 is proposed when the difference mesh is coarse.
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