A POSTERIORI ERROR ESTIMATES OF A NON-CONFORMING FINITE ELEMENT METHOD FOR PROBLEMS WITH ARTIFICIAL BOUNDARY CONDITIONS  

作　　者：Xianmin Xu Zhiping Li 

机构地区：[1]LMAM & School of Mathematical Sciences, Peking University, Beijing 100871, China

出　　处：《Journal of Computational Mathematics》2009年第6期677-696,共20页计算数学（英文）

基　　金：supported by the Special Funds for Major State Basic Research Projects(2005CB321701);NSFC(10431050, 10571006 and 10528102);RFDP of China

摘　　要：An a posteriori error estimator is obtained for a nonconforming finite element approximation of a linear elliptic problem, which is derived from a corresponding unbounded domain problem by applying a nonlocal approximate artificial boundary condition. Our method can be easily extended to obtain a class of a posteriori error estimators for various conforming and nonconforming finite element approximations of problems with different artificial boundary conditions. The reliability and efficiency of our a posteriori error estimator are rigorously proved and are verified by numerical examples.An a posteriori error estimator is obtained for a nonconforming finite element approximation of a linear elliptic problem, which is derived from a corresponding unbounded domain problem by applying a nonlocal approximate artificial boundary condition. Our method can be easily extended to obtain a class of a posteriori error estimators for various conforming and nonconforming finite element approximations of problems with different artificial boundary conditions. The reliability and efficiency of our a posteriori error estimator are rigorously proved and are verified by numerical examples.

关 键 词：a posteriori estimate nonconforming finite element method artificial boundary conditions 

分 类 号：O241.82[理学—计算数学] O351.3[理学—数学]