@Article{JCM-42-911, author = {Zeng , YupingCai , Mingchao 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 = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2212-m2021-0231}, url = {http://global-sci.org/intro/article_detail/jcm/23040.html} }