A Finite Element Approximation of the Stokes Equations
A Finite Element Approximation of the Stokes Equations作者机构：不详
出 版 物：《World Journal of Mechanics》 (力学国际期刊（英文）)
年 卷 期：2011年第1卷第6期
页 面：299-305页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Stokes Equations Finite Element Method Iterative Solvers Adina System
摘 要：In this work, a numerical solution of the incompressible Stokes equations is proposed. The method suggested is based on an algorithm of discretization by the unstable of Q1 – P0 velocity/pressure ?nite element approximation. It is shown that the inf-sup stability constant is O(h) in two dimensions and O( h2) in three dimensions. The basic tool in the analysis is the method of modi?ed equations which is applied to ?nite difference representations of the underlying ?nite element equations. In order to evaluate the performance of the method, the numerical results are compared with some previously published works or with others coming from commercial code like Adina system.
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