We develop a family of locking-free elements for the Reissner-Mindlin plate using Discontinuous Galerkin (DG) techniques, one for each odd degree, and prove optimal error estimates. A second family uses conforming elements for the rotations and nonconforming elements for the transverse displacement, generalizing the element of Arnold and Falk to higher degree.
Bibliographical noteFunding Information:
D. N. Arnold is supported by NSF Grant DMS-0107233 and F. Brezzi and L. D. Marini are partially supported by Italian government Grant PRIN 2001.
- Discontinuous Galerkin
- Locking-free finite elements
- Reissner-Mindlin plates