@Article{AAMM-9-596,
author = {Huang , PeiqiChen , Jinru and Cai , Mingchao},
title = {A Mortar Method Using Nonconforming and Mixed Finite Elements for the Coupled Stokes-Darcy Model},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {9},
number = {3},
pages = {596--620},
abstract = {<p style="text-align: justify;">In this work, we study numerical methods for a coupled fluid-porous media
flow model. The model consists of Stokes equations and Darcy&#39;s equations in two
neighboring subdomains, coupling together through certain interface conditions. The
weak form for the coupled model is of saddle point type. A mortar finite element
method is proposed to approximate the weak form of the coupled problem. In our
method, nonconforming Crouzeix-Raviart elements are applied in the fluid subdomain
and the lowest order Raviart-Thomas elements are applied in the porous media
subdomain; meshes in different subdomains are allowed to be nonmatching on the
common interface; interface conditions are weakly imposed via adding constraint in
the definition of the finite element space. The well-posedness of the discrete problem
and the optimal error estimate for the proposed method are established. Numerical
experiments are also given to confirm the theoretical results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2016.m1397},
url = {http://global-sci.org/intro/article_detail/aamm/12166.html}
}