@Article{CiCP-27-4,
author = {Wang, Hua and Jinru, Chen and Sun, Pengtao and Rihui, Lan},
title = {An Interface-Unfitted Conforming Enriched Finite Element Method for Stokes-Elliptic Interface Problems with Jump Coefficients},
journal = {Communications in Computational Physics},
year = {2020},
volume = {27},
number = {4},
pages = {1174--1200},
abstract = {<p style="text-align: justify;">In this paper, a conforming enriched finite element method over an interface-unfitted mesh is developed and analyzed for a type of Stokes-elliptic interface problem
with jump coefficients. An inf-sup stability result that is uniform with respect to the
mesh size is proved in order to derive the corresponding well-posedness and optimal
convergence properties in spite of the low regularity of the problem. The developed
new finite element method breaks the limit of the classical immersed finite element
method (IFEM) which can only deal with the case of identical governing equations
on either side of the interface. Numerical experiments are carried out to validate the
theoretical results. This is the first step of our new method to solve complex interface
problems with different governing equations on either side of the interface, and will
be extended to solve transient interface problems towards fluid-structure interaction
problems in the future.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2019-0021},
url = {https://global-sci.com/article/79796/an-interface-unfitted-conforming-enriched-finite-element-method-for-stokes-elliptic-interface-problems-with-jump-coefficients}
}