Two new least-squares mixed finite element procedures for convection-dominated Sobolev equations  

作　　者：ZHANG Jian-song YANG Dan-ping ZHU Jiang 

机构地区：[1]Department of Computational and Applied Mathematics, China Universityof Petroleum, Tsingdao 266555, China. [2]Department of Mathematics, East China Normal University, Shanghai 200062, China. [3]Laborat6rio Nacional de Computcao Cientifica, 25651-075 Petropolis, R J, Brazil.

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2011年第4期401-411,共11页高校应用数学学报（英文版）（B辑）

基　　金：Supported by by the National Science Foundation for Young Scholars of China(11101431);the Fundamental Research Funds for the Central Universities (12CX04082A,10CX04041A);Shandong Province Natural Science Foundation of China(ZR2010AL020)

摘　　要：Two new convection-dominated are derived under the approximate solutions least-squares mixed finite element procedures are formulated for solving Sobolev equations. Optimal H（div;Ω）×H1（Ω） norms error estimates standard mixed finite spaces. Moreover, these two schemes provide the with first-order and second-order accuracy in time increment, respectively.Two new convection-dominated are derived under the approximate solutions least-squares mixed finite element procedures are formulated for solving Sobolev equations. Optimal H（div;Ω）×H1（Ω） norms error estimates standard mixed finite spaces. Moreover, these two schemes provide the with first-order and second-order accuracy in time increment, respectively.

关 键 词：Least-square mixed finite element convection-dominated Sobolev equation convergence analysis. 

分 类 号：O241.82[理学—计算数学] TS255.4[理学—数学]