A parameter-free mixed formulation for the Stokes equations and linear elasticity with strongly symmetric stress
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Publication:6189250
DOI10.1016/j.camwa.2023.11.040OpenAlexW4389428601MaRDI QIDQ6189250
Publication date: 8 February 2024
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.11.040
linear elasticityStokes equationsmixed formulationpressure-robustnessstabilization freestrongly symmetric stress
Cites Work
- Unnamed Item
- Analysis of a staggered discontinuous Galerkin method for linear elasticity
- The staggered DG method is the limit of a hybridizable DG method. II: The Stokes flow
- A mixed finite element method for the Stokes equations based on a weakly over-penalized symmetric interior penalty approach
- Mathematical aspects of discontinuous Galerkin methods.
- A family of higher order mixed finite element methods for plane elasticity
- Two families of mixed finite elements for second order elliptic problems
- A family of mixed finite elements for the elasticity problem
- Equilibrium finite elements for the linear elastic problem
- Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations.
- A hybrid high-order locking-free method for linear elasticity on general meshes
- An analysis of the TDNNS method using natural norms
- Discontinuous Galerkin method with staggered hybridization for a class of nonlinear Stokes equations
- An analysis of the p-version of the finite element method for nearly incompressible materials. Uniformly valid, optimal error estimates
- Mixed finite elements for elasticity
- Optimal adaptive nonconforming FEM for the Stokes problem
- A staggered DG method of minimal dimension for the Stokes equations on general meshes
- A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits
- Pressure-robustness and discrete Helmholtz projectors in mixed finite element methods for the incompressible Navier-Stokes equations
- A discontinuous skeletal method for the viscosity-dependent Stokes problem
- A hybridized finite element method for the Stokes problem
- Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions
- Reduced symmetry elements in linear elasticity
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- Superconvergent HDG methods for linear elasticity with weakly symmetric stresses
- Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry: Stability Analysis
- Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity
- TANGENTIAL-DISPLACEMENT AND NORMAL–NORMAL-STRESS CONTINUOUS MIXED FINITE ELEMENTS FOR ELASTICITY
- A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem
- A Staggered Cell-Centered DG Method for Linear Elasticity on Polygonal Meshes
- Finite element approximations of symmetric tensors on simplicial grids in Rn: the high order case
- Error analysis in $L^p \leqslant p \leqslant \infty $, for mixed finite element methods for linear and quasi-linear elliptic problems
- New Finite Element Methods in Computational Fluid Dynamics by H(div) Elements
- Mixed finite element methods for incompressible flow: Stationary Stokes equations
- Finite elements for symmetric tensors in three dimensions
- A new elasticity element made for enforcing weak stress symmetry
- Mixed finite element methods for linear elasticity with weakly imposed symmetry
- A hybridizable discontinuous Galerkin method for linear elasticity
- Finite Element Methods for Navier-Stokes Equations
- PEERS: A new mixed finite element for plane elasticity
- Compatible Spectral Approximations for the Velocity-Pressure-Stress Formulation of the Stokes Problem
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
- The Scott-Vogelius finite elements revisited
- Interior penalty mixed finite element methods of any order in any dimension for linear elasticity with strongly symmetric stress tensor
- Least-Squares Methods for Incompressible Newtonian Fluid Flow: Linear Stationary Problems
- A note on the devising of superconvergent HDG methods for Stokes flow byM-decompositions
- Korn's inequalities for piecewise $H^1$ vector fields
- Mixed Finite Element Methods and Applications
- A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh
- Staggered DG Methods for the Pseudostress-Velocity Formulation of the Stokes Equations on General Meshes
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- A Staggered Discontinuous Galerkin Method for the Stokes System
- A mass conserving mixed stress formulation for the Stokes equations
- A weak Galerkin finite element method for the Stokes equations