Numerical stabilization of Biot's consolidation model by a perturbation on the flow equation (original) (raw)

On stability and convergence of finite element approximations of Biot's consolidation problem

Abimael Loula

International Journal for Numerical Methods in Engineering, 1994

View PDFchevron_right

An H(div)-Conforming Finite Element Method for the Biot Consolidation Model

Mingchao Cai

East Asian Journal on Applied Mathematics, 2019

View PDFchevron_right

Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot’s consolidation model

ELYES AHMED

Computer Methods in Applied Mechanics and Engineering, 2018

View PDFchevron_right

The state vector solution of axisymmetric Biot's consolidation problems for multilayered poroelastic media

Jianguo Wang

Mechanics Research Communications, 2001

View PDFchevron_right

Analysis of a discontinuous Galerkin method for the Biot’s consolidation problem

Claes Johnson

Applied Mathematics and Computation, 2013

View PDFchevron_right

A stabilized method for a secondary consolidation Biot's model

Francisco Gaspar

Numerical Methods for Partial Differential Equations, 2008

View PDFchevron_right

Stability and Monotonicity for Some Discretizations of the Biot's Model

Carmen Rodrigo

View PDFchevron_right

Conservative discretizations and parameter‐robust preconditioners for Biot and multiple‐network flux‐based poroelasticity models

Maria Dimitrova Lymbery

Numerical Linear Algebra With Applications, 2019

View PDFchevron_right

A coupling of mixed and discontinuous Galerkin finite-element methods for poroelasticity

Mary Wheeler

Computational Geosciences, 2008

View PDFchevron_right

Staggered grid discretizations for the quasi-static Biot's consolidation problem

Francisco Gaspar

Applied Numerical Mathematics, 2006

View PDFchevron_right

A Stabilized Finite Volume Method for Solving One-Dimensional Poroelastic Problems

Clovis R Maliska

2016

View PDFchevron_right

A coupling of mixed and continuous Galerkin finite element methods for poroelasticity I: the continuous in time case

Mary Wheeler

Computational Geosciences, 2007

View PDFchevron_right

Carleman estimate for Biot consolidation system in poro-elasticity and application to inverse problems

Bochra Riahi

Mathematical Methods in the Applied Sciences, 2016

View PDFchevron_right

Finite difference analysis of a double‐porosity consolidation model

Francisco Lisbona, Francisco Gaspar

View PDFchevron_right

Finite-difference modeling of Biot’s poroelastic equations across all frequencies

Steve Pride

GEOPHYSICS, 2010

View PDFchevron_right

A finite difference analysis of Biot's consolidation model

Francisco Gaspar

Applied Numerical Mathematics, 2003

View PDFchevron_right

An unequal-order radial interpolation meshless method for Biot’s consolidation theory

toyoaki nogami

Computers and Geotechnics, 2007

View PDFchevron_right

Weakly Imposed Symmetry and Robust Preconditioners for Biot’s Consolidation Model

R. Winther

Computational Methods in Applied Mathematics

View PDFchevron_right

Numerical Analysis of the Double Porosity Consolidation Model

Francisco Gaspar

View PDFchevron_right

A CBS-type stabilizing algorithm for the consolidation of saturated porous media

Bernhard Schrefler

International Journal for Numerical Methods in Engineering, 2005

View PDFchevron_right

A time domain boundary element method for poroelasticity

Gary Dargush

International Journal for Numerical Methods in Engineering, 1989

View PDFchevron_right

On the theory of consolidation with double porosity—III A finite element formulation

Elias Aifantis

International Journal for Numerical and Analytical Methods in Geomechanics, 1984

View PDFchevron_right

Simulation of consolidation in large strains: A comparison between finite element method and material point method

Valentina S

View PDFchevron_right

A Variational Deduction of Second Gradient Poroelasticity II: An Application to the Consolidation Problem

Francesco Dell'isola

2010

View PDFchevron_right

Stabilized Lowest-Order Finite Element Approximation for Linear Three-Field Poroelasticity

Simon Tavener

SIAM Journal on Scientific Computing, 2015

View PDFchevron_right

Ill-conditioning of finite element poroelasticity equations

pietro teatini

View PDFchevron_right

Finite Difference Schemes for Poro-elastic ProblemS

Francisco Gaspar

Computational Methods in Applied Mathematics, 2000

View PDFchevron_right

Coupling Biot and Navier-Stokes problems for fluid-poroelastic structure interaction

Alfio Quarteroni

2009

View PDFchevron_right

A mixed stabilized finite element formulation for finite deformation of a poroelastic solid saturated with a compressible fluid

Carlos Agelet De Saracibar Bosch

Archive of Applied Mechanics, 2020

View PDFchevron_right

A parallel-in-time fixed-stress splitting method for Biot's consolidation model

KUNDAN KUMAR

arXiv: Numerical Analysis, 2018

View PDFchevron_right

On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems

Raytcho Lazarov

Numerical Methods for Partial Differential Equations, 2007

View PDFchevron_right

Homogenization of a Double Porosity Model In Deformable Media

Abdelhamid Ainouz

Electronic Journal of Differential Equations, 2012

View PDFchevron_right

On numerical analyses in the presence of unstable saturated porous materials

Ahmed Benallal

International Journal for Numerical Methods in Engineering, 2003

View PDFchevron_right

Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot's consolidation and multiple-network poroelasticity models

Maria Dimitrova Lymbery

arXiv (Cornell University), 2019

View PDFchevron_right

Von Neumann stability analysis of Biot's general two-dimensional theory of consolidation

Michael Miga

International Journal for Numerical Methods in Engineering, 1998

View PDFchevron_right