A \(\mathbb {RT}_k-\mathbf P_k\) approximation for linear elasticity yielding a broken \(H(\mathrm{div})\) convergent postprocessed stress

DOI10.1016/j.aml.2015.05.009zbMath1381.74018OpenAlexW434530512MaRDI QIDQ289405

Filánder A. Sequeira, Luis F. Gatica, Gabriel N. Gatica

Publication date: 30 May 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.05.009

zbMATH Keywords

linear elasticitymixed finite element method3D high-order approximationspseudostress-displacement formulation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

A mixed virtual element method for a pseudostress-based formulation of linear elasticity ⋮ A mixed virtual element method for the Brinkman problem ⋮ A Mixed Virtual Element Method for Quasi-Newtonian Stokes Flows ⋮ A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity ⋮ A mixed virtual element method for a nonlinear Brinkman model of porous media flow ⋮ An Lp spaces-based mixed virtual element method for the two-dimensional Navier–Stokes equations

Cites Work

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• Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations
• On the stability of BDMS and PEERS elements
• A new mixed formulation for elasticity
• An augmented mixed finite element method for 3D linear elasticity problems
• A Simple Introduction to the Mixed Finite Element Method
• Augmented Mixed Finite Element Methods for the Stationary Stokes Equations
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• Analysis of a new augmented mixed finite element method for linear elasticity allowing $\mathbb{RT}_0$-$\mathbb{P}_1$-$\mathbb{P}_0$ approximations

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