Year: 2020
Author: Luoping Chen, Yan Yang
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 6 : pp. 1520–1541
Abstract
In this paper, we study a new finite element method for poroelasticity problem with homogeneous boundary conditions. The finite element discretization method is based on a three-variable weak form with mixed finite element for the linear elasticity, i.e., the stress tensor, displacement and pressure are unknown variables in the weak form. For the linear elasticity formula, we use a conforming finite element proposed in [11] for the mixed form of the linear elasticity and piecewise continuous finite element for the pressure of the fluid flow. We will show that the newly proposed finite element method maintains optimal convergence order.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2019-0174
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 6 : pp. 1520–1541
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Biot consolidation equations linear elasticity finite element method convergence analysis.
Author Details
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