Title	Locking-free, three-field formulations for coupled elasticity-poroelasticity
Creator	Ruiz-Baier, Ricardo
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-08-01T11:35
Description	We present stable and convergent mixed finite element methods for the discretisation of poroelasticity and elasticity/poroelasticity coupled equations in a new formulation, where the volumetric contributions to the total stress are merged into an additional unknown. The resulting saddle point formulations can be analysed by means of a Fredholm alternative, after realising that they are compact perturbations of Stokes-like invertible systems. Galerkin schemes are then proposed, and given that specific finite dimensional spaces are chosen adequately, the methods remain stable and optimally convergent in the incompressible limit.
Extent	43.0
Subject	Mathematics; Numerical analysis; Partial differential equations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Oxford U.
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-03-17
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377026
URI	http://hdl.handle.net/2429/68839
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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