Two-grid nonconforming finite element method for second order elliptic problems
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摘要
In this paper, we present and analyze two-grid P1 nonconforming finite element method for second order elliptic problems. The two-grid method involves solving one small origin problem on coarse grid with grid size H, and some correction problems on local fined grids with grid size h. If h = O(H2) is chosen, we show that the convergence rate of this two-grid method is optimal in broken H1-norm. Numerical results conforming the theory are also provided.
论文关键词:Second order elliptic problems,P1 nonconforming finite element,Two-grid method
论文评审过程:Available online 19 December 2005.
论文官网地址:https://doi.org/10.1016/j.amc.2005.10.049