科研之友
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摘要
In this work, we present and analyze a p-version finite volume method (RIM) for elliptic problems in the one dimensional setting. Under some regularity assumptions of the exact solution, it is shown that the p-version FV solution converges with exponential rates under H-1, L-2 and L-oe-norms. Superconvergence properties at nodal, Lobatto and Gauss points have been also discussed. Numerical results are presented to support our theoretical findings.
- 出版日期2014-8-1
- 单位中山大学; 北京计算科学研究中心
