@Article{JCM-42-4,
author = {Zeng, Yuping and Mingchao, Cai and Zhong, Liuqiang},
title = {A Coupled Method Combining Crouzeix-Raviart Nonconforming and Node Conforming Finite Element Spaces for Biot Consolidation Model},
journal = {Journal of Computational Mathematics},
year = {2024},
volume = {42},
number = {4},
pages = {911--931},
abstract = {<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>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2212-m2021-0231},
url = {https://global-sci.com/article/91082/a-coupled-method-combining-crouzeix-raviart-nonconforming-and-node-conforming-finite-element-spaces-for-biot-consolidation-model}
}