Authors
Yuping Zeng, Mingchao Cai, Feng Wang
Publication date
2019/8
Journal
East Asian journal on applied mathematics
Volume
9
Issue
3
Pages
558
Publisher
NIH Public Access
Description
In this paper, we develop an H (div)-conforming finite element method for Biot’s consolidation model in poroelasticity. In our method, the flow variables are discretized by an H (div)-conforming mixed finite elements. For relaxing the H 1-conformity of the displacement, we approximate the displacement by using an H (div)-conforming finite element method, in which the tangential components are discretized in the interior penalty discontinuous Galerkin framework. For both the semi-discrete and the fully discrete schemes, we prove the existence and uniqueness theorems of the approximate solutions and derive the optimal convergence rate for each variable.
Scholar articles
Y Zeng, M Cai, F Wang - East Asian journal on applied mathematics, 2019