摘要
研究二阶双曲方程的各向异性矩形Hermite型有限元方法,利用积分恒等式技巧和新的估计方法,在解的光滑性更低且有限元的总体自由度比完全双二次矩形元还少1/4的情况下,得到了完全相同的超收敛性.最后,基于插值后处理技巧导出了相应的超收敛结果.
In this paper, the anisotropic rectangular Hermite type finite element method for the Second order hyperbolic equations is studied. With integration identities and new estimating methods, the same superclose property as the complete biquadratic rectangular element is obtained under lower regularity of the exact solution and fewer degrees of freedom near to one quarter. At last, based on interpolate post-processing techniques, the supereonvergence is derived.
出处
《河南大学学报（自然科学版）》
CAS
北大核心
2007年第4期331-333,376,共4页
Journal of Henan University:Natural Science
基金
国家自然科学基金资助项目(10371113
10671184)
