%0 Journal Article
%T TWO SPLITTING LEAST-SQUARES MIXED ELEMENT METHODS FOR LINEAR SOBOLEV EQUATIONS<br>求解线性Sobolev方程的分裂型最小二乘混合元方法
%A Gao Fuzheng
%A Rui Hongxing
%A <br>高夫征
%A 芮洪兴
%J 计算数学
%D 2008
%I 
%X In this paper, two splitting least-squares mixed element methods are proposed to simulate a class of linear Sobolev equations. The methods' advantage is that the coupled system can be split into two independent sub-systems. Theoerical analysis shows that the methods yield the approximate solutions for the primal unknown with optimal accuracy in $L^2(\Omega)$ norm and for the unknown flux introdued with sub-optimal accuracy in $H(\mbox{div};\Omega)$ norm, respectively. Finally, some numerical examples are provided to illustrate the efficiency of the methods.
%K Sobolev equations
%K Least-squares
%K Mixed element
%K Error estimates
%K Numerical examples<br>Sobolev方程
%K 最小二乘法
%K 混合有限元
%K 误差估计
%K 数值试验
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=F4A561C0A4685C084797A18E56C9FCE0&yid=67289AFF6305E306&vid=340AC2BF8E7AB4FD&iid=38B194292C032A66&sid=1A363081E1FF7014&eid=4133DDB79B497495&journal_id=0254-7791&journal_name=计算数学&referenced_num=1&reference_num=17