%0 Journal Article %T EXTRACTION OF HIGHER DERIVATIVES IN FEM FOR POISSON EQUATION AND THE PLANE ELASTICITY PROBLEM
泊松方程及平面弹性问题有限元方法中求高阶导数的提取法 %A 余德浩 %J 计算数学 %D 1992 %I %X This paper gives extraction formulae for higher derivatives of solutions of thePoisson equation and the plane elasticity problem. With these formulae the approxi-mation of higher derivatives of solution obtained from the finite element solutionhas the same order of accuracy as for the approximate solution itself. These resultscan be used in a-posteriori error estimates and the adaptive finite element methods. %K 有限元法 %K 高阶导数 %K 提取法 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=32CD88BFBECDFBC863493101E7235967&yid=F53A2717BDB04D52&vid=F3583C8E78166B9E&iid=CA4FD0336C81A37A&sid=D767283A3B658885&eid=7555FB9CC973F695&journal_id=0254-7791&journal_name=计算数学&referenced_num=1&reference_num=1