Stabilized hybrid finite element methods based on the combination of saddle point principles of elasticity problems
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Publication:4417153
DOI10.1090/S0025-5718-03-01473-XzbMath1081.74046MaRDI QIDQ4417153
Publication date: 28 July 2003
Published in: Mathematics of Computation (Search for Journal in Brave)
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)
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Cites Work
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- A convergence condition for the quadrilateral Wilson element
- Two classes of mixed finite element methods
- A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
- Finite element method based on combination of ``saddle point variational formulations
- Least-squares mixed finite element methods for non-selfadjoint elliptic problems. I: Error estimates
- Further results for enhanced strain methods with isoparametric elements
- Combined hybrid approach to finite element schemes of high performance
- Rational approach for assumed stress finite elements
- A rational approach for choosing stress terms for hybrid finite element formulations
- A 20-DOF hybrid stress general shell element
- Mixed and Hybrid Finite Element Methods
- Finite Element Methods of Least-Squares Type
- A systematic construction of B-bar functions for linear and non-linear mixed-enhanced finite elements for plane elasticity problems
- A quadrilateral mixed finite element with two enhanced strain modes
- A class of mixed assumed strain methods and the method of incompatible modes
