%0 Journal Article
%T FINITE ELEMENT ANALYSIS FOR SOME NONLINEAR REACTION - DIFFUSION SYSTEMS<br>一类非线性反应扩散方程组的有限元分析
%A Jiang Chengshun
%A Cui Xia
%A <br>江成顺
%A 崔霞
%J 计算数学
%D 2000
%I 
%X This paper is concerned with the finite element scheme and the alternating direction finite element scheme for some nonlinear reaction - diffusion systems with the second or the third boundary value conditions. Not only the existence and uniqueness of solutions for these approximational schemes are obtained, but also the optimal H~(1) - norm and L~(2)- norm error estimate results are demonstrated.
%K Reaction-diffusion system
%K Alternating direction
%K Finite element approximation
%K Optimal error estimate<br>反应扩散方程组
%K 有限元逼近
%K 最优误差估计
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=0EB16117EDF9FBAC&yid=9806D0D4EAA9BED3&vid=BC12EA701C895178&iid=CA4FD0336C81A37A&sid=89F76E117E9BDB76&eid=4BB057F167CF3A60&journal_id=0254-7791&journal_name=计算数学&referenced_num=5&reference_num=2