Improved Local Projection for the Generalized Stokes Problem

作     者：Kamel Nafa 

作者机构：Department of Mathematics and StatisticsSultan Qaboos UniversityCollege of ScienceP.O.Box 36Al-Khoudh 123MuscatOMAN 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2009年第1卷第6期

页      面：862-873页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Generalized Stokes equations stabilized finite elements local projection convergence error estimates 

摘      要：We analyze pressure stabilized finite element methods for the solution of the generalized Stokes problem and investigate their stability and convergence *** important feature of the methods is that the pressure gradient unknowns can be eliminated locally thus leading to a decoupled system of *** the stability of the method has been established,for the homogeneous Stokes equations,the proof given here is based on the existence of a special interpolant with additional orthogonal property with respect to the projection *** makes it much simpler and more *** resulting stabilized method is shown to lead to optimal rates of convergence for both velocity and pressure approximations.