The Mortar Element Method with Lagrange Multipliers for Stokes Problem  

作　　者：Yaqin Jiang 

机构地区：[1]College of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》2007年第4期328-340,共13页

基　　金：This work is supported by the National Natural Science Foundation of China under grants （10471067） ;the Scientific Research Foundation of University under grants （NY207096）.

摘　　要：In this paper,we propose a mortar element method with Lagrange multiplier for incompressible Stokes problem,i.e.,the matching constraints of velocity on mortar edges are expressed in terms of Lagrange multipliers.We also present P_1 noncon- forming element attached to the subdomains.By proving inf-sup condition,we derive optimal error estimates for velocity and pressure.Moreover,we obtain satisfactory approximation for normal derivatives of the velocity across the interfaces.In this paper, we propose a mortar element method with Lagrange multiplier for incompressible Stokes problem, i.e., the matching constraints of velocity on mortar edges are expressed in terms of Lagrange multipliers. We also present P1 nonconforming element attached to the subdomains. By proving inf-sup condition, we derive optimal error estimates for velocity and pressure. Moreover, we obtain satisfactory approximation for normal derivatives of the velocity across the interfaces.

关 键 词：拉格朗日问题 乘数 斯托克司问题 有限元 

分 类 号：O1[理学—数学]