On the convergence of finite element solutions to the interface problem for the Stokes system
On the convergence of finite element solutions to the interface problem for the Stokes system
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DOI：
10.1016/j.cam.2005.11.018
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发表时间：
2007
影响因子：
2.4
通讯作者：
K. Ohmori;Norikazu Saito
中科院分区：
文献类型：
--
作者：
K. Ohmori;Norikazu Saito
本文讨论了具有间断系数的Stokes方程组（Stokes界面问题）及其有限元逼近。我们首先给出一个一般的误差估计。为了得到明确的收敛速度，我们引入了一些适当的假设的正则性的精确解和三角剖分的几何条件。我们主要讨论MINI元逼近，然后考虑P_1-iso-P_2/P_1元逼近。所得结果对两相流问题的数值分析具有指导意义。
The Stokes system with a discontinuous coefficient (Stokes interface problem) and its finite element approximations are considered. We firstly show a general error estimate. To derive explicit convergence rates, we introduce some appropriate assumptions on the regularity of exact solutions and on a geometric condition for the triangulation. We mainly deal with the MINI element approximation and then consider P1-iso-P2/P1 element approximation. Results are expected to give an instructive remark in numerical analysis for two-phase flow problems.