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- Title
Nonconforming mixed finite element methods for linear elasticity using rectangular elements in two and three dimensions.
- Authors
Yi, S.-Y.
- Abstract
We present nonconforming, rectangular mixed finite element methods based on the Hellinger-Reissner variational principle in both two and three dimensions and show stability and convergence. An optimal error estimate of $\mathcal{O}(h^2)$ is obtained for the displacement, along with a suboptimal, $\mathcal{O}(h)$, error estimate for the stress, in both dimensions.
- Subjects
FINITE element method; NUMERICAL analysis; VARIATIONAL principles; STOCHASTIC convergence; ELASTICITY; STRAINS &; stresses (Mechanics)
- Publication
Calcolo, 2005, Vol 42, Issue 2, p115
- ISSN
0008-0624
- Publication type
Article
- DOI
10.1007/s10092-005-0101-5