THE ADAPTIVE IMMERSED INTERFACE FINITE ELEMENT METHOD FOR ELASTICITY INTERFACE PROBLEMS  

作　　者：Yanzhen Chang 

机构地区：[1]Department of Mathematics, Beijing University of Chemical Technology, Beijing 100029, China

出　　处：《Journal of Computational Mathematics》2012年第6期629-642,共14页计算数学（英文）

摘　　要：In this paper, we propose adaptive finite element methods with error control for solving elasticity problems with discontinuous coefficients. The meshes in the methods do not need to fit the interfaces. We establish a residual-based a posteriori error estimate which is λ- independent multiplicative constants; the Lame constant λ steers the incompressibility. The error estimators are then implemented and tested with promising numerical results which will show the competitive behavior of the adaptive algorithm.In this paper, we propose adaptive finite element methods with error control for solving elasticity problems with discontinuous coefficients. The meshes in the methods do not need to fit the interfaces. We establish a residual-based a posteriori error estimate which is λ- independent multiplicative constants; the Lame constant λ steers the incompressibility. The error estimators are then implemented and tested with promising numerical results which will show the competitive behavior of the adaptive algorithm.

关 键 词：Adaptive finite element method Elasticity interface problems. 

分 类 号：O241.82[理学—计算数学] O343[理学—数学]