%0 Journal Article %T THE APPROXIMATION BY 3-DIMENSIONAL ISOPARAMETRIC ELEMENT AND A KIND OF NUMERICAL INTEGRATION FORMAT OF 2ND ORDER DIRICHLET PROBLEM
二阶Dirichlet问题的三维等参元逼近及其数值积分格式 %A Zhang Feiran %A Chen Shaochun %A
张斐然 %A 陈绍春 %J 计算数学 %D 2008 %I %X An approximation format of tetrahedral isoparametric element for solving the 3-dimensional 2-order Dirichlet problem is presented in this paper first,then based on the optical estima- tion of isoparametric transformation,we prove the convergence of the format given,obtain the optical H~1 estimate error.In order to simplify the complex computing of isoparametric element,we also construct a simple kind of numerical integration format,and its convergence is proved later. %K 3-dimensional ellipse equation %K isoparametric finite element %K isoparametric transformation %K numerical integration
三维椭圆型方程 %K 等参有限元 %K 等参变换 %K 数值积分 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=03E1DCA5DB48785A19D8E27820283BED&yid=67289AFF6305E306&vid=340AC2BF8E7AB4FD&iid=0B39A22176CE99FB&sid=DD74772618543076&eid=5D9D6A8FC2C66FD8&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=10