A new mixed formulation for elasticity
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Publication:1090515
DOI10.1007/BF01395876zbMath0621.73102OpenAlexW2046000001WikidataQ59039075 ScholiaQ59039075MaRDI QIDQ1090515
Richard S. Falk, Douglas N. Arnold
Publication date: 1988
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133263
mixed variational formulationclassical Hellinger-Reissner formulationequations of linear elasticityscalar second order elliptic equations
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A family of higher order mixed finite element methods for plane elasticity
- Mixed finite elements in \(\mathbb{R}^3\)
- Boundary subspaces for the finite element method with Lagrange multipliers
- The finite element method with Lagrangian multipliers
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- Two mixed finite element methods for the simply supported plate problem
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- PEERS: A new mixed finite element for plane elasticity
- The Lagrange Multiplier Method for Dirichlet's Problem
- A remark on the rate of convergence for a mixed finite element method for second order problems
- $L_\infty $-convergence of saddle-point approximations for second order problems
- An analysis of the convergence of mixed finite element methods
- Interior and superconvergence estimates for mixed methods for second order elliptic problems