TY - JOUR
T1 - A Coupled Method Combining Crouzeix-Raviart Nonconforming and Node Conforming Finite Element Spaces for Biot Consolidation Model
AU - Zeng , Yuping
AU - Cai , Mingchao
AU - Zhong , Liuqiang
JO - Journal of Computational Mathematics
VL - 4
SP - 911
EP - 931
PY - 2024
DA - 2024/04
SN - 42
DO - http://doi.org/10.4208/jcm.2212-m2021-0231
UR - https://global-sci.org/intro/article_detail/jcm/23040.html
KW - Poroelasticity, Nonconforming finite element, Inf-sup condition, A priori error estimate.
AB - <p style="text-align: justify;">A mixed finite element method is presented for the Biot consolidation problem in poroelasticity. More precisely, the displacement is approximated by using the Crouzeix-Raviart
nonconforming finite elements, while the fluid pressure is approximated by using the node
conforming finite elements. The well-posedness of the fully discrete scheme is established,
and a corresponding priori error estimate with optimal order in the energy norm is also
derived. Numerical experiments are provided to validate the theoretical results.</p>