TY - JOUR
T1 - Approximations by Mini Mixed Finite Element for the Stokes-Darcy Coupled Problem on Curved Domains
AU - Gabriela Armentano , María
AU - Lorena Stockdale , María
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 203
EP - 234
PY - 2021
DA - 2021/03
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/18709.html
KW - Stokes-Darcy problem, mixed finite elements, curved elements, stability analysis.
AB - <p style="text-align: justify;">In this work we solve a Stokes-Darcy coupled problem in a plane curved domain
using curved elements. We approximate the velocity-pressure pair by applying the MINI-element
method, for the whole coupled problem. We show that, under appropriate assumptions about the
curved domain, the proposed method has optimal accuracy, with respect to solution regularity, and
has a simple implementation. We also present numerical tests which show the good performance
of the proposed method.</p>