Finite element approximation of stabilized mixed models in finite strain hyperelasticity involving displacements and stresses and/or pressure -- an overview of alternatives
DOI10.1002/NME.7540MaRDI QIDQ6648527
Joan Baiges, Inocencio Castañar, Ramon Codina
Publication date: 4 December 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
inf-sup conditionvariational multiscale methoddual formulationstabilized finite element methodinterpolating spaceupdated Lagrangian/total Lagrangian description
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02)
Cites Work
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- On the stabilization parameter in the subgrid scale approximation of scalar convection-diffusion-reaction equations on distorted meshes
- Subscales on the element boundaries in the variational two-scale finite element method
- Mixed stabilized finite element methods in nonlinear solid mechanics. I: Formulation
- Mixed stabilized finite element methods in nonlinear solid mechanics. II: Strain localization
- Development of a stabilised Petrov-Galerkin formulation for conservation laws in Lagrangian fast solid dynamics
- On a multiscale approach to the transient Stokes problem: dynamic subscales and anisotropic space-time discretization
- Time dependent subscales in the stabilized finite element approximation of incompressible flow problems
- The variational multiscale method -- a paradigm for computational mechanics
- Higher order stabilized finite element method for hyperelastic finite deformation
- Finite element approximation of the viscoelastic flow problem: a non-residual based stabilized formulation
- A stabilised Petrov-Galerkin formulation for linear tetrahedral elements in compressible, nearly incompressible and truly incompressible fast dynamics
- A first order hyperbolic framework for large strain computational solid dynamics. I: Total Lagrangian isothermal elasticity
- A mixed three-field FE formulation for stress accurate analysis including the incompressible limit
- Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows
- Mixed stabilized finite element methods in nonlinear solid mechanics. III: compressible and incompressible plasticity
- Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
- Mixed finite elements for elasticity
- Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
- A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation
- A stabilized mixed finite element approximation for incompressible finite strain solid dynamics using a total Lagrangian formulation
- Stabilized finite element method for incompressible solid dynamics using an updated Lagrangian formulation
- Implicit finite incompressible elastodynamics with linear finite elements: a stabilized method in rate form
- Variational multiscale error estimators for solid mechanics adaptive simulations: an orthogonal subgrid scale approach
- An upwind vertex centred finite volume solver for Lagrangian solid dynamics
- A first order hyperbolic framework for large strain computational solid dynamics. II: Total Lagrangian compressible, nearly incompressible and truly incompressible elasticity
- A framework for residual-based stabilization of incompressible finite elasticity: stabilized formulations and \(\overline F\) methods for linear triangles and tetrahedra
- Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Versatile stabilized finite element formulations for nearly and fully incompressible solid mechanics
- Nonlinear solid mechanics. A continuum approach for engineering
- A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach
- Finite element approximation of the modified Boussinesq equations using a stabilized formulation
- Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems
- Mixed Finite Element Methods and Applications
- Finite Element Approximation of the Three-Field Formulation of the Stokes Problem Using Arbitrary Interpolations
- A stabilized mixed three‐field formulation for stress accurate analysis including the incompressible limit in finite strain solid dynamics
- Numerical simulation of fluid-structure interaction problems with viscoelastic fluids using a log-conformation reformulation
- An upwind vertex centred finite volume algorithm for nearly and truly incompressible explicit fast solid dynamic applications: total and updated Lagrangian formulations
- Field-to-field coupled fluid structure interaction: a reduced order model study
- A first-order hyperbolic framework for large strain computational solid dynamics: an upwind cell centred total Lagrangian scheme
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