A family of mixed finite elements for linear elasticity
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Publication:1119429
DOI10.1007/BF01389334zbMath0671.73054OpenAlexW2070979601MaRDI QIDQ1119429
Publication date: 1989
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133375
Lagrange multipliersError analysissuperconvergence resultsPEERS finite element spacestwo and three- dimensional problems
Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) 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 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 new mixed formulation for elasticity
- Mixed finite elements in \(\mathbb{R}^3\)
- Some equilibrium finite element methods for two-dimensional elasticity problems
- Equilibrium finite elements for the linear elastic problem
- Analysis of Mixed Finite Element Methods for the Stokes Problem: A Unified Approach
- PEERS: A new mixed finite element for plane elasticity
- Polynomial Approximation of Functions in Sobolev Spaces
- Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations
- An analysis of the convergence of mixed finite element methods
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