A stabilized finite element method for finite-strain three-field poroelasticity (Q1702765)

scientific article; zbMATH DE number 6845422

Language	Label	Description	Also known as
English	A stabilized finite element method for finite-strain three-field poroelasticity	scientific article; zbMATH DE number 6845422

Statements

instance of

scholarly article

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title

A stabilized finite element method for finite-strain three-field poroelasticity (English)

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author

Peng Zhang

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published in

Computational Mechanics

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publication date

28 February 2018

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full work available at URL

http://europepmc.org/articles/pmc6979590

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describes a project that uses

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Finite element formulations for hyperelastic transversely isotropic biphasic soft tissues

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Multifrontal parallel distributed symmetric and unsymmetric solvers

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Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction

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

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Trends in continuum mechanics of porous media.

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Q4371291

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Incompressible porous media models by use of the theory of mixtures

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A unified stabilized method for Stokes' and Darcy's equations

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A poroelastic model valid in large strains with applications to perfusion in cardiac modeling

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General coupling of porous flows and hyperelastic formulations -- from thermodynamics principles to energy balance and compatible time schemes

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Poromechanics of freezing materials

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From mixture theory to Biot's approach for porous media

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Q5702543

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Fully Discrete Finite Element Approximations of a Polymer Gel Model

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A fully coupled 3-D mixed finite element model of Biot consolidation

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A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces

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A Preconditioner for the Steady-State Navier--Stokes Equations

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The role of porous media in modeling flow and heat transfer in biological tissues.

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Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits

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Stability and convergence of sequential methods for coupled flow and geomechanics: fixed-stress and fixed-strain splits

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Q4314972

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Variationally derived 3-field finite element formulations for quasistatic poroelastic analysis of hydrated biological tissues

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A discontinuous Galerkin finite element method for swelling model of polymer gels

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

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

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A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. II: The discrete-in-time case

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

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Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach

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Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow

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Some new families of finite elements for the Stokes equations

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A general approach for modeling interacting flow through porous media under finite deformations

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Iteratively coupled mixed and Galerkin finite element methods for poro‐elasticity

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Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients

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Block-preconditioned Newton-Krylov solvers for fully coupled flow and geomechanics

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An axisymmetric and fully 3D poroelastic model for the evolution of hydrocephalus

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Q3514988

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A coupling of nonconforming and mixed finite element methods for Biot's consolidation model

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Identifiers

zbMATH Open document ID

1386.74134

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Mathematics Subject Classification ID

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10.1007/S00466-017-1381-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:1702765