Asymptotic Behavior of the Finite Difference and the Finite Element Methods for Parabolic Equations

作     者：LIU Yang FENG Hui 

作者机构：Department of Mathematics Wuhan University of Tchnology Wuhan 430070 Huhei China School of Mathematics and Statistics Wuhan University Wuhan 430072 Huhei China 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2005年第10卷第6期

页      面：953-956页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：SupportedbytheNationalNaturalScienceFounda-tionofChina(10101018) 

主　　题：asymptotic behavior finite difference method finite element method eigenvalue 

摘      要：The asymptotic convergence of the solution of the parabolic equation is proved. By the eigenvalues estimation, we obtain that the approximate solutions by the finite difference method and the finite element method are asymptotically convergent. Both methods are considered in continnous time.