A four-field mixed finite element method for Biot's consolidation problems
type: Item
instance of: scholarly article
title: A four-field mixed finite element method for Biot's consolidation problems
zbMATH Open document ID: 1476.65251
author: Wenya Qi
author: Junping Wang
author: Padmanabhan Seshaiyer
published in: Electronic Research Archive
publication date: 2021-06-07T00:00:00Z
review text: This work discusses four-field mixed finite element method for Biot's consolidation problems. The four fields include the displacement, total stress, flux and pressure for the porous medium component of the modeling system. The approach combines a mixed finite element method involving Raviart-Thomas element for the fluid flow equation with the Crank-Nicolson scheme for the time discretization. The authors obtain optimal order error estimates for semi-discrete and fully discrete schemes for the unknowns in energy norm as well as \(L^2\) norm. Numerical experiments are included to support the theoretical findings.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35M30
zbMATH DE Number: 7355961
zbMATH Keywords: Biot's consolidation equations
zbMATH Keywords: mixed finite element method
zbMATH Keywords: Crank-Nicolson time discretization
describes a project that uses: poroelasticity
MaRDI profile type: Publication
full work available at URL: era.2020127
OpenAlex ID: W3112558524
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DOI: 10.3934/ERA.2020127
description: scientific article; zbMATH DE number 7355961