Adaptive computation for convection dominated diffusion problems

作     者：CHEN Zhiming & Jl GuanghuaLSEC, Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China (email:ghji@***) 

作者机构：LSEC Institute of Computational Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China Institute of Computational Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2004年第47卷第Z1期

页      面：22-31页

核心收录：

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

基　　金：Chen Zhiming was supported in part by Ministry of Science and Technology of China(Grant No.G1999032802) by the National Natural Science Foundation of China(Grant No.10025102) 

主　　题：a posteriori error estimator, characteristics, adaptive. 

摘      要：We derive sharp L∞(L1) a posteriori error estimate for the convection dominated diffusion equations of the form The derived estimate is insensitive to the diffusion parameter ε→0. The problem is dis-cretized implicitly in time via the method of characteristics and in space via continuous piecewise linear finite elements. Numerical experiments are reported to show the competitive behavior of the proposed adaptive method.