Convergence Analysis of H(div)-Conforming Finite Element Methods for a Nonlinear Poroelasticity Problem
Joint Authors
Weng, Zhifeng
Zeng, Yuping
Liang, Fen
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-19
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, we introduce and analyze H(div)-conforming finite element methods for a nonlinear model in poroelasticity.
More precisely, the flow variables are discretized by H(div)-conforming mixed finite elements, while the elastic displacement is approximated by the H(div)-conforming finite element with the interior penalty discontinuous Galerkin formulation.
Optimal a priori error estimates are derived for both semidiscrete and fully discrete schemes.
American Psychological Association (APA)
Zeng, Yuping& Weng, Zhifeng& Liang, Fen. 2020. Convergence Analysis of H(div)-Conforming Finite Element Methods for a Nonlinear Poroelasticity Problem. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1153638
Modern Language Association (MLA)
Zeng, Yuping…[et al.]. Convergence Analysis of H(div)-Conforming Finite Element Methods for a Nonlinear Poroelasticity Problem. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1153638
American Medical Association (AMA)
Zeng, Yuping& Weng, Zhifeng& Liang, Fen. Convergence Analysis of H(div)-Conforming Finite Element Methods for a Nonlinear Poroelasticity Problem. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1153638
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153638
