UNIFORM OPTIMAL-ORDER ESTIMATES FOR FINITE ELEMENT METHODS FOR ADVECTION-DIFFUSION EQUATIONS  被引量:11

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

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作  者:Qun LIN Hong WANG Shuhua ZHANG 

机构地区:[1]Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences,Beijing 100190, China. [2]Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208, USA. [3]Research Center for Mathematics and Economics, Tianjin University of Finance and Economics, Tianjin300222, China.

出  处:《Journal of Systems Science & Complexity》2009年第4期555-559,共5页系统科学与复杂性学报(英文版)

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

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

关 键 词:Advection-diffusion equation bilinear finite element method linear triangular elementmethod nonconforming finite element method. 

分 类 号:O241.82[理学—计算数学] TV512[理学—数学]

 

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