The fictitious domain method for the Stokes problem with Neumann/free-traction boundary condition

被引：1
|
作者：
Zhou, Guanyu [1 ]
机构：
[1] Tokyo Univ Sci, Dept Appl Math, Shinjuku Ku, 1-3 Kagurazaka, Tokyo 1628601, Japan
来源：
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2017年 / 34卷 / 02期
基金：
日本科学技术振兴机构;
关键词：
Fictitious domain method; Penalty method; Stokes problem; Finite element method; Error estimate; FINITE-ELEMENT APPROXIMATION; INCOMPRESSIBLE VISCOUS-FLOW; MOVING RIGID BODIES; PENALTY METHOD; NUMERICAL-SIMULATION; ELLIPTIC PROBLEMS; EQUATIONS; MODEL;
D O I：
10.1007/s13160-017-0255-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the fictitious domain method for the Stokes problem with Neumann/free-traction boundary condition. For the penalty method, we obtain the error estimate of order O(is an element of) where is an element of is the penalty parameter. Next, we apply the finite element method to the penalty problem using the P1/P1 element with stabilization, and obtain the error estimate of discretization. The theoretical results are verified by the numerical experiments.
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页码：585 / 610
页数：26
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