A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity
DOI10.1016/j.camwa.2015.12.009zbMath1443.65330OpenAlexW2229848436MaRDI QIDQ2006632
Filánder A. Sequeira, Luis F. Gatica, Gabriel N. Gatica
Publication date: 11 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.12.009
linear elasticitymixed finite element method3D high-order approximationspseudostress-displacement formulation
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 (27)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A \(\mathbb {RT}_k-\mathbf P_k\) approximation for linear elasticity yielding a broken \(H(\mathrm{div})\) convergent postprocessed stress
- Analysis of an augmented fully-mixed approach for the coupling of quasi-Newtonian fluids and porous media
- A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. I: A priori error analysis
- Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations
- A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem
- On the stability of BDMS and PEERS elements
- A family of higher order mixed finite element methods for plane elasticity
- An augmented mixed finite element method for linear elasticity with non-homogeneous Dirichlet conditions
- A new mixed formulation for elasticity
- A family of mixed finite elements for the elasticity problem
- A posteriori error estimates for mixed FEM in elasticity
- A posteriori error estimation and adaptive mesh-refinement techniques
- A note on the efficiency of residual-based a posteriori error estimators for some mixed finite element methods.
- Mixed finite elements for elasticity
- An augmented mixed finite element method for 3D linear elasticity problems
- Dual-mixed finite element approximation of Stokes and nonlinear Stokes problems using trace-free velocity gradients
- Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow
- A mixed finite element method for elasticity in three dimensions
- Reduced symmetry elements in linear elasticity
- A dual-mixed approximation method for a three-field model of a nonlinear generalized Stokes problem
- Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem
- Mixed methods for stationary Navier-Stokes equations based on pseudostress-pressure-velocity formulation
- A Simple Introduction to the Mixed Finite Element Method
- Mixed Finite Element Methods for Incompressible Flow: Stationary Navier–Stokes Equations
- A posteriori error estimate for the mixed finite element method
- Finite elements in computational electromagnetism
- Finite element exterior calculus, homological techniques, and applications
- A residual basedA POSTERIORIerror estimator for an augmented mixed finite element method in linear elasticity
- Augmented Mixed Finite Element Methods for the Stationary Stokes Equations
- Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium
- Mixed finite element methods for incompressible flow: Stationary Stokes equations
- Mixed finite element methods for linear elasticity with weakly imposed symmetry
- Finite Element Methods for Navier-Stokes Equations
- PEERS: A new mixed finite element for plane elasticity
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Mixed and Hybrid Finite Element Methods
- Vector potentials in three-dimensional non-smooth domains
- Dual-mixed finite element methods for the Navier-Stokes equations
- 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 priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity