Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for Stokes/Parabolic Interface Problems With Jump Coefficients

Document Type

Article

Publication Date

12-16-2019

Publication Title

Applied Numerical Mathematics

First page number:

1

Last page number:

22

Abstract

In this paper, the distributed Lagrange multiplier/fictitious domain (DLM/FD)–mixed finite element method is developed and analyzed for a type of linearized fluid-structure interaction problem–the transient Stokes/parabolic interface problem with jump coefficients. Stability and optimal convergence properties are obtained for both semi- and fully discrete mixed finite element scheme. Numerical experiments are carried out to validate the theoretical results. Similar DLM/FD method can be developed to tackle FSI problems with different compressibility for the fluid and the structure in the future.

Keywords

Stokes/parabolic interface problem; Jump coefficients; Distributed Lagrange multiplier; Fictitious domain method; Mixed finite element; An optimal error estimate; Stability

Disciplines

Applied Mathematics

Language

English

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