Document Type
Article
Publication Date
1-10-2020
Publication Title
Results in Applied Mathematics
Publisher
Elsevier
First page number:
1
Last page number:
23
Abstract
In this paper, a type of arbitrary Lagrangian–Eulerian (ALE) finite element method in the monolithic frame is developed for a linearized fluid–structure interaction (FSI) problem — an unsteady Stokes/parabolic interface problem with jump coefficients and moving interface, where, the corresponding mixed finite element approximation in both semi- and fully discrete scheme are developed and analyzed based upon one type of ALE formulation and a novel H1- projection technique associated with a moving interface problem, and the stability and optimal convergence properties in the energy norm are obtained for both discretizations to approximate the solution of a transient Stokes/parabolic interface problem that is equipped with a low regularity. Numerical experiments further validate all theoretical results. The developed analytical approaches and numerical implementations can be similarly extended to a realistic FSI problem in the future.
Keywords
Moving interface problem; Arbitrary Lagrangian–Eulerian (ALE) method; Fluid–structure interactions (FSI); Mixed finite element method (FEM); Error analysis
Disciplines
Mathematics
File Format
File Size
4.129 KB
Language
English
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Repository Citation
Lan, R.,
Ramirez, M. J.,
Sun, P.
(2020).
Finite Element Analysis of an Arbitrary Lagrangian–Eulerian Method for Stokes/Parabolic Moving Interface Problem With Jump Coefficients.
Results in Applied Mathematics
1-23.
Elsevier.
http://dx.doi.org/10.1016/j.rinam.2020.100091
