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

被引：19

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.

引用

页码：81 / 97

页数：17

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