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.

引用

页码：939 / 963

页数：25

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