Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model
type: Item
instance of: scholarly article
title: Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model
author: Nicolás Barnafi
author: Paolo Zunino
author: Luca Dedé
author: Alfio Quarteroni
publication date: 2021-05-27T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 7351753
zbMATH Keywords: poromechanics
zbMATH Keywords: finite element approximation
zbMATH Keywords: inf-sup stability condition
describes a project that uses: ARPACK
describes a project that uses: SciPy
MaRDI profile type: Publication
full work available at URL: j.camwa.2020.07.025
OpenAlex ID: W3082027390
cites work: Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
cites work: Q3238949
cites work: Trends in continuum mechanics of porous media.
cites work: Q4336801
cites work: Computational mechanics of the heart.
cites work: A poroelastic model valid in large strains with applications to perfusion in cardiac modeling
cites work: Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction
cites work: General coupling of porous flows and hyperelastic formulations -- from thermodynamics principles to energy balance and compatible time schemes
cites work: A general approach for modeling interacting flow through porous media under finite deformations
cites work: Numerical analysis for an energy-stable total discretization of a poromechanics model with inf-sup stability
cites work: A numerical solution of the Navier-Stokes equations using the finite element technique
cites work: Q3852479
cites work: A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model
cites work: Q4399897
cites work: Q3521017
cites work: Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
cites work: Q3093929
cites work: STABILITY OF HIGHER ORDER TRIANGULAR HOOD-TAYLOR METHODS FOR THE STATIONARY STOKES EQUATIONS
cites work: Three-Dimensional Finite Element Methods for the Stokes Problem
cites work: Mixed Finite Element Methods and Applications
cites work: Error estimates for a mixed finite element approximation of the Stokes equations
cites work: Analysis of Mixed Finite Element Methods for the Stokes Problem: A Unified Approach
cites work: The inf‐sup constant for the divergence on corner domains
cites work: Rayleigh–Ritz approximation of the inf-sup constant for the divergence
cites work: ARPACK Users' Guide
cites work: Numerical solution of saddle point problems
cites work: Generalized Inf-Sup Conditions for Chebyshev Spectral Approximation of the Stokes Problem
DOI: 10.1016/J.CAMWA.2020.07.025
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7351753