TY - JOUR
T1 - Low Order Nonconforming Rectangular Finite Element Methods for Darcy-Stokes Problems
AU - Shiquan Zhang, Xiaoping Xie & Yumei Chen
JO - Journal of Computational Mathematics
VL - 2-3
SP - 400
EP - 424
PY - 2009
DA - 2009/04
SN - 27
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8579.html
KW - Darcy-Stokes problem, Finite element, Uniformly stable.
AB - <p style="text-align: justify;">In this paper, we consider lower order rectangular finite element methods for the singularly
perturbed Stokes problem. The model problem reduces to a linear Stokes problem
when the perturbation parameter is large and degenerates to a mixed formulation of Poisson&#39;s
equation as the perturbation parameter tends to zero. We propose two 2D and
two 3D nonconforming rectangular finite elements, and derive robust discretization error
estimates. Numerical experiments are carried out to verify the theoretical results.</p>