Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations
type: Item
instance of: scholarly article
title: Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations
zbMATH Open document ID: 1368.65195
author: Jun Tan
author: Travis Thompson
author: Beatrice Riviere
publication date: 2017-08-18T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 74L15
Mathematics Subject Classification ID: 92C10
zbMATH DE Number: 6762055
zbMATH Keywords: discontinuous Galerkin
zbMATH Keywords: error estimates
zbMATH Keywords: poroelasticity
zbMATH Keywords: locking
MaRDI profile type: Publication
full work available at URL: j.camwa.2016.12.030
OpenAlex ID: W2572055818
cites work: Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
cites work: Introduction to modelling of transport phenomena in porous media
cites work: A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. I: The continuous in time case
cites work: Diffusion in poro-elastic media
cites work: The existence and uniqueness theorem in Biot's consolidation theory
cites work: Poroelasticity
cites work: Modeling of convection-dominated thermoporomechanics problems using incomplete interior penalty Galerkin method
cites work: A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. II: The discrete-in-time case
cites work: A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity
cites work: Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach
cites work: Convergence analysis of a new mixed finite element method for Biot's consolidation model
cites work: Estimation of penalty parameters for symmetric interior penalty Galerkin methods
cites work: Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
cites work: A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
cites work: Stability and monotonicity for some discretizations of the Biot's consolidation model
cites work: A nonconforming high-order method for the Biot problem on general meshes
cites work: Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
DOI: 10.1016/J.CAMWA.2016.12.030
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 6762055