THE DERIVATIVE ULTRACONVERGENCE FOR QUADRATIC TRIANGULAR FINITE ELEMENTS  

作　　者：Qi-dingZhu Ling-xiongMeng 

机构地区：[1]CollegeofMathematicsandComputerScience,HunanNormalUniversity,Changsha410081,China

出　　处：《Journal of Computational Mathematics》2004年第6期857-864,共8页计算数学（英文）

摘　　要：This work concerns the ultraconvergence of quadratic finite element approximations of elliptic boundary value problems. A new, discrete least-squares patch recovery technique is proposed to post-process the solution derivatives. Such recovered derivatives are shown to possess ultraconvergence. The keys in the proof are the asymptotic expansion of the bilinear form for the interpolation error and a “localized” symmetry argument. Numerical results are presented to confirm the analysis.

分 类 号：O175.2[理学—数学] O241.82[理学—基础数学]