A Coupled Method Combining Crouzeix-Raviart Nonconforming and Node Conforming Finite Element Spaces for Biot Consolidation Model
Year: 2024
Author: Yuping Zeng, Mingchao Cai, Liuqiang Zhong
Journal of Computational Mathematics, Vol. 42 (2024), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2212-m2021-0231
Journal of Computational Mathematics, Vol. 42 (2024), Iss. 4 : pp. 911–931
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Poroelasticity Nonconforming finite element Inf-sup condition A priori error estimate.