DISTRIBUTED LAGRANGE MULTIPLIER-FICTITIOUS DOMAIN FINITE ELEMENT METHOD FOR STOKES INTERFACE PROBLEMS

被引：0
|
作者：
Lundberg, Andrew [1 ]
Sun, Pengtao [1 ]
Wang, Cheng [2 ]
机构：
[1] Univ Nevada, Dept Math Sci, 4505 Maryland Pkwy, Las Vegas, NV 89154 USA
[2] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2019年 / 16卷 / 06期
关键词：
Stokes interface problems; jump coefficients; distributed Lagrange multiplier; fictitious domain method; mixed finite element; well-posedness; error estimates; NUMERICAL-ANALYSIS; BLOOD-FLOW; FORMULATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the distributed Lagrange multiplier-fictitious domain (DLM/FD) finite element method is studied for a type of steady state Stokes interface problems with jump coefficients, and its well-posedness, stability and optimal convergence properties are analyzed by proving an inf-sup condition for a nested saddle-point problem that is induced by both Stokes equations and DLM/FD method in regard to Stokes variables (velocity and pressure) and Lagrange multipliers. Numerical experiments validate the obtained convergence theorem of DLM/FD finite element method for Stokes interface problems with respect to different jump ratios.
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页码：939 / 963
页数：25
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