New convergence analysis for assumed stress hybrid quadrilateral finite element method
DOI10.3934/DCDSB.2017153zbMath1439.74440OpenAlexW2615621369MaRDI QIDQ2356886
Xiaoping Xie, Shiquan Zhang, Binjie Li
Publication date: 7 June 2017
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2017153
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) Finite element methods applied to problems in fluid mechanics (76M10) Stress (74A10)
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Cites Work
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- Uniform convergence and a posteriori error estimation for assumed stress hybrid finite element methods
- A convergence condition for the quadrilateral Wilson element
- Uniform convergence and a posteriori error estimators for the enhanced strain finite element method
- Enhanced assumed strain elements and locking in membrane problems
- A unified analysis for stress/strain hybrid methods of high performance.
- Rational approach for assumed stress finite elements
- Finite Element Methods for Navier-Stokes Equations
- Linear Finite Element Methods for Planar Linear Elasticity
- A non-conforming element for stress analysis
- Analysis of Some Quadrilateral Nonconforming Elements for Incompressible Elasticity
- Optimization of stress modes by energy compatibility for 4-node hybrid quadrilaterals
- Stability and Convergence of a Class of Enhanced Strain Methods
- A class of mixed assumed strain methods and the method of incompatible modes
- The Mathematical Theory of Finite Element Methods
- On the selective local stabilization of the mixed Q1–P0 element
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