The simplest nonconforming mixed finite element method for linear elasticity in the symmetric formulation on \(n\)-rectangular grids
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Publication:2006407
DOI10.1016/j.camwa.2016.01.023zbMath1443.65338OpenAlexW2294930628MaRDI QIDQ2006407
Shangyou Zhang, Jianye Wang, Jun Hu, Hongying Man
Publication date: 9 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.2016.01.023
Classical linear elasticity (74B05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
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- Two remarks on rectangular mixed finite elements for elasticity
- A simple conforming mixed finite element for linear elasticity on rectangular grids in any space dimension
- A unified analysis of several mixed methods for elasticity with weak stress symmetry
- Conforming rectangular mixed finite elements for elasticity
- Computational competition of symmetric mixed FEM in linear elasticity
- Mixed \(hp\)-finite element method for linear elasticity with weakly imposed symmetry
- A locking-free \(hp\) DPG method for linear elasticity with symmetric stresses
- Superconvergence of mixed finite element methods on rectangular domains
- A family of higher order mixed finite element methods for plane elasticity
- On the construction of optimal mixed finite element methods for the linear elasticity problem
- A family of mixed finite elements for the elasticity problem
- A family of mixed finite elements for linear elasticity
- Some equilibrium finite element methods for two-dimensional elasticity problems
- Equilibrium finite elements for the linear elastic problem
- Superconvergence and a posteriori error estimation for triangular mixed finite elements
- Mixed finite elements for elasticity
- A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids
- A mixed finite element method for elasticity in three dimensions
- Nonconforming mixed finite element methods for linear elasticity using rectangular elements in two and three dimensions
- Reduced symmetry elements in linear elasticity
- The arnold-winther mixed FEM in linear elasticity. I: Implementation and numerical verification
- A Lower Bound of the $L^2$ Norm Error Estimate for the Adini Element of the Biharmonic Equation
- Superconvergence Analysis for the Stable Conforming Rectangular Mixed Finite Elements for the Linear Elasticity Problem
- NONCONFORMING MIXED ELEMENTS FOR ELASTICITY
- Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity
- A second elasticity element using the matrix bubble
- Superconvergence and Extrapolation for Mixed Finite Element Methods on Rectangular Domains
- Superconvergence of the Velocity Along the Gauss Lines in Mixed Finite Element Methods
- Finite element approximations of symmetric tensors on simplicial grids in Rn: the high order case
- 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
- LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM
- Lower Order Rectangular Nonconforming Mixed Finite Elements for Plane Elasticity
- PEERS: A new mixed finite element for plane elasticity
- Mixed and Hybrid Finite Element Methods
- P1-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems
- Mixed Finite Element Methods and Applications
- A New Family of Efficient Conforming Mixed Finite Elements on Both Rectangular and Cuboid Meshes for Linear Elasticity in the Symmetric Formulation
- A NEW NONCONFORMING MIXED FINITE ELEMENT METHOD FOR LINEAR ELASTICITY
- RECTANGULAR MIXED FINITE ELEMENTS FOR ELASTICITY
