@Article{IJNAM-18-3,
author = {Kesler, Ian and Rihui, Lan and Sun, Pengtao},
title = {The Arbitrary Lagrangian-Eulerian Finite Element Method for a Transient Stokes/Parabolic Interface Problem},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2021},
volume = {18},
number = {3},
pages = {339--361},
abstract = {<p style="text-align: justify;">In this paper, a type of nonconservative arbitrary Lagrangian-Eulerian (ALE) finite
element method is developed and analyzed in the monolithic frame for a transient Stokes/parabolic
moving interface problem with jump coefficients. The mixed and the standard finite element
approximations are adopted for the transient Stokes equations and the parabolic equation on
either side of the moving interface, respectively. The stability and optimal convergence properties
of both semi- and full discretizations are analyzed in terms of the energy norm. The developed
numerical method can be generally extended to the realistic fluid-structure interaction (FSI)
problems in a time-dependent domain with a moving interface.<br/></p>},
issn = {2617-8710},
doi = {https://doi.org/2021-IJNAM-18719},
url = {https://global-sci.com/article/82979/the-arbitrary-lagrangian-eulerian-finite-element-method-for-a-transient-stokesparabolic-interface-problem}
}