A Posteriori Error Estimate for Stabilized Low-Order Mixed FEM for the Stokes Equations  

作　　者：Yinnian He Cong Xie Haibiao Zheng 

机构地区：[1]Faculty of Science,Xi’an Jiaotong University,Xi’an 710049,Shaanxi,China

出　　处：《Advances in Applied Mathematics and Mechanics》2010年第6期798-809,共12页应用数学与力学进展（英文）

基　　金：supported by the NSF of China(No.10971166);the National Basic Research Program(No.2005CB321703).

摘　　要：This paper is concerned with a stabilized approach to low-order mixed finite element methods for the Stokes equations.We will provide a posteriori error analysis for the method.We present two a posteriori error indicators which will be demonstrated to be globally upper and locally lower bounds for the error of the finite element discretization.Finally two numerical experiments will be carried out to show the efficiency on constructing adaptive meshes.

关 键 词：A posteriori error estimate stabilized low-order mixed FEM error indicator Stokes equations 

分 类 号：O17[理学—数学]