A mixed virtual element method for a pseudostress-based formulation of linear elasticity
From MaRDI portal
Publication:1615878
DOI10.1016/j.apnum.2018.09.003OpenAlexW2892122392WikidataQ129323224 ScholiaQ129323224MaRDI QIDQ1615878
Filánder A. Sequeira, Gabriel N. Gatica, Ernesto Cáceres
Publication date: 31 October 2018
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2018.09.003
linear elasticitya priori error analysispseudostress-displacement formulationpostprocessing techniquesmixed virtual element method
Classical linear elasticity (74B05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (15)
The stabilized nonconforming virtual element method for linear elasticity problem ⋮ Error analysis for the pseudostress formulation of unsteady Stokes problem ⋮ A multipoint stress mixed finite element method for elasticity on quadrilateral grids ⋮ Displacement‐pseudostress formulation for the linear elasticity spectral problem ⋮ A Hu-Washizu variational approach to self-stabilized virtual elements: 2D linear elastostatics ⋮ Virtual element stabilization for the system of time-dependent nonlinear convection-diffusion-reaction equations ⋮ A posteriori analysis for a mixed formulation of the Stokes spectral problem ⋮ A New Locking-Free Virtual Element Method for Linear Elasticity Problems ⋮ A virtual element method for the elasticity problem allowing small edges ⋮ A lowest-order locking-free nonconforming virtual element method based on the reduced integration technique for linear elasticity problems ⋮ Staggered DG Methods for the Pseudostress-Velocity Formulation of the Stokes Equations on General Meshes ⋮ A low-order nonconforming method for linear elasticity on general meshes ⋮ A posteriori error estimates for the virtual element method for the Stokes problem ⋮ Some aspects on the computational implementation of diverse terms arising in mixed virtual element formulations ⋮ A dual hybrid virtual element method for plane elasticity problems
Cites Work
- \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods
- A \(\mathbb {RT}_k-\mathbf P_k\) approximation for linear elasticity yielding a broken \(H(\mathrm{div})\) convergent postprocessed stress
- Equivalent projectors for virtual element methods
- Virtual element methods for plate bending problems
- A priori and a posteriori error analyses of a velocity-pseudostress formulation for a class of quasi-Newtonian Stokes flows
- A mixed virtual element method for a nonlinear Brinkman model of porous media flow
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow
- A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity
- An augmented mixed finite element method for 3D linear elasticity problems
- Some basic formulations of the virtual element method (VEM) for finite deformations
- A stress/displacement virtual element method for plane elasticity problems
- Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow
- A virtual element method for elastic and inelastic problems on polytope meshes
- Virtual Element Method for general second-order elliptic problems on polygonal meshes
- Mixed virtual element methods for general second order elliptic problems on polygonal meshes
- Virtual Elements for Linear Elasticity Problems
- Basic principles of mixed Virtual Element Methods
- Divergence free virtual elements for the stokes problem on polygonal meshes
- A Mixed Virtual Element Method for Quasi-Newtonian Stokes Flows
- Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
- A mixed virtual element method for the pseudostress–velocity formulation of the Stokes problem
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A mixed virtual element method for the Brinkman problem
- A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
- Analysis of a new augmented mixed finite element method for linear elasticity allowing $\mathbb{RT}_0$-$\mathbb{P}_1$-$\mathbb{P}_0$ approximations
This page was built for publication: A mixed virtual element method for a pseudostress-based formulation of linear elasticity
