%0 Journal Article
%T THE A.D.I. GALERKIN METHODS AND THE ANALYSIS FOR 3-DIMENSIONAL NONLINEAR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION<br>三维非线性抛物型积分-微分方程的A.D.I.Galerkin方法及其分析
%A Xia CUI
%A <br>崔霞
%J 系统科学与数学
%D 2001
%I 
%X The A. D. I. Galerkin schemes for 3-dimensional nonlinear parabolic integro- differential equation are studied. By using alternating direction, the 3-dimensional problem is reduced to a family of single space Variable problems, the calculating work is simplified; by using Galerkin method, the high accuracy property is obtained. The influence coming from the Volterra term is treated successfully; the stability and convergence properties for both Galerkin and A.D.I. Galerkin schemes are demonstrated, the optical H1-norm and L2-norm estimates are obtained.
%K Parabolic integro-differential
%K equation
%K alternating direction
%K finite element
%K error estimate<br>抛物型积分-微分方程
%K 交替方向
%K 有限元
%K 误差估计.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=53190C70653D5DF8&yid=14E7EF987E4155E6&vid=659D3B06EBF534A7&iid=38B194292C032A66&sid=FA3423FC1AE95C4E&eid=965F4E89CD0AFC30&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=7