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UNIFORM OPTIMAL-ORDER ESTIMATES FOR FINITE ELEMENT METHODS FOR ADVECTION-DIFFUSION EQUATIONS

UNIFORM OPTIMAL-ORDER ESTIMATES FOR FINITE ELEMENT METHODS FOR ADVECTION-DIFFUSION EQUATIONS

作     者:Qun LIN Hong WANG Shuhua ZHANG Qun LIN Hong WANG Shuhua ZHANG Institute of Computational Mathematics and Scientific/Engineering Computing,Chinese Academy of Sciences,Beijing 100190,China.Department of Mathematics.University of South Carolina,Columbia,South Carolina 29208,USA.Research Center for Mathematics and Economics,Tianjin University of Finance and Economics,Tianjin 300222,China.

作者机构:Institute of Computational Mathematics and Scientific/Engineering Computing Chinese Academy of SciencesBeijing 100190 China. Department of Mathematics University of South Carolina Columbia South Carolina 29208 USA. Research Center for Mathematics and Economics Tianjin University of Finance and Economics Tianjin300222 China. 

出 版 物:《Journal of Systems Science & Complexity》 (系统科学与复杂性学报(英文版))

年 卷 期:2009年第22卷第4期

页      面:555-559页

核心收录:

学科分类:12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基  金:supported in part by the National Basic Research Program (2007CB814906) the National Natural Science Foundation of China (10471103 and 10771158) Social Science Foundation of the Ministry of Education of China (Numerical methods for convertible bonds, 06JA630047) Tianjin Natural Science Foundation (07JCYBJC14300) the National Science Foundation under Grant No. EAR-0934747 

主  题:Advection-diffusion equation bilinear finite element method linear triangular elementmethod nonconforming finite element method. 

摘      要:This article summarizes our recent work on uniform error estimates for various finite elementmethods for time-dependent advection-diffusion equations.

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