Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot's consolidation model
type: Item
instance of: scholarly article
title: Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot's consolidation model
zbMATH Open document ID: 1440.74117
author: Elyes Ahmed
author: J. M. Nordbotten
author: F. A. Radu
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2020-04-16T00:00:00Z
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 7189744
zbMATH Keywords: Biot's poro-elasticity problem
zbMATH Keywords: mixed variational formulations
zbMATH Keywords: a posteriori error analysis
zbMATH Keywords: energy-type estimates
zbMATH Keywords: space and time errors
zbMATH Keywords: adaptive algorithm
MaRDI profile type: Publication
full work available at URL: j.cma.2018.12.016
OpenAlex ID: W2906573104
cites work: Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
cites work: Diffusion in poro-elastic media
cites work: Improved accuracy in finite element analysis of Biot's consolidation problem
cites work: Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations
cites work: Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis
cites work: Space-time finite element approximation of the Biot poroelasticity system with iterative coupling
cites work: Stabilized Lowest-Order Finite Element Approximation for Linear Three-Field Poroelasticity
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 weak Galerkin and mixed finite element methods for poroelasticity
cites work: A coupling of nonconforming and mixed finite element methods for Biot's consolidation model
cites work: New stabilized discretizations for poroelasticity and the Stokes' equations
cites work: Scalable algorithms for three-field mixed finite element coupled poromechanics
cites work: A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity
cites work: Thermo-hydro-mechanical modeling of fluid geological storage by Godunov-mixed methods
cites work: A reduced fracture model for two-phase flow with different rock types
cites work: Mixed Finite Volume Methods for Linear Elasticity
cites work: A finite-volume discretization for deformation of fractured media
cites work: A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation
cites work: A posteriori error estimates for finite element discretizations of the heat equation
cites work: Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems
cites work: An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow
cites work: Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem
cites work: A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems
cites work: Robust error analysis of coupled mixed methods for Biot's consolidation model
cites work: Convergence analysis of a new mixed finite element method for Biot's consolidation model
cites work: A posteriorierror analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems
cites work: A nonconforming high-order method for the Biot problem on general meshes
cites work: Stable cell-centered finite volume discretization for Biot equations
cites work: A finite element framework for some mimetic finite difference discretizations
cites work: A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media
cites work: A Posteriori Error Estimation for Lowest Order Raviart–Thomas Mixed Finite Elements
cites work: A unified framework for a posteriori error estimation for the Stokes problem
cites work: Robust fixed stress splitting for Biot's equations in heterogeneous media
cites work: Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
cites work: Weakly imposed symmetry and robust preconditioners for Biot's consolidation model
cites work: Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model
cites work: Analysis of Finite Element Approximation of Evolution Problems in Mixed Form
cites work: Mixed methods using standard conforming finite elements
cites work: Mixed finite element methods for linear elasticity with weakly imposed symmetry
cites work: Mixed finite elements for elasticity
cites work: Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
cites work: On the Implementation of Mixed Methods as Nonconforming Methods for Second- Order Elliptic Problems
cites work: Energy norm a posteriori error estimates for mixed finite element methods
cites work: The existence and uniqueness theorem in Biot's consolidation theory
cites work: Guaranteed A Posteriori Error Estimator for Mixed Finite Element Methods of Linear Elasticity with Weak Stress Symmetry
cites work: An adaptive \(hp\)-refinement strategy with computable guaranteed bound on the error reduction factor
cites work: Numerical simulation of blood flows through a porous interface
cites work: A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model
DOI: 10.1016/J.CMA.2018.12.016
description: scientific article; zbMATH DE number 7189744