Fictitious domain finite element method for Stokes/elliptic interface problems with jump coefficients

被引：17
|
作者：
Sun, Pengtao [1 ]
机构：
[1] Univ Nevada Las Vegas, Dept Math Sci, 4505 Maryland Pkwy, Las Vegas, NV 89154 USA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 356卷
基金：
美国国家科学基金会;
关键词：
Stokes/elliptic interface problem; Distributed Lagrange multiplier; Fictitious domain method; Mixed finite element; Well-posedness; Optimal error estimate; LAGRANGE MULTIPLIER/FICTITIOUS DOMAIN; DISCONTINUOUS COEFFICIENTS; NUMERICAL-SIMULATION; ELLIPTIC-EQUATIONS; FLUID; FLOW; FORMULATION; APPROXIMATIONS; MULTIPLIER;
D O I：
10.1016/j.cam.2019.01.030
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 generic Stokes/elliptic interface problem with jump coefficients which belongs to a type of linearized stationary fluid-structure interaction problem. A mixed finite element discretization is developed for the proposed DLM/FD method for Stokes/elliptic interface problem and analyzed on the aspects of well-posedness, stability and optimal convergence. Numerical experiments are carried out and the theoretical error estimates of DLM/FD finite element method are validated. (C) 2019 Elsevier B.V. All rights reserved.
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页码：81 / 97
页数：17
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