A Family of Discontinuous Galerkin Finite Elements for the Reissner–Mindlin Plate |
| |
| Authors: | Arnold Douglas N. Brezzi Franco Marini L. Donatella |
| |
| Affiliation: | (1) Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN USA, 55455;(2) Dipartimento di Matematica, Università di Pavia, IMATI-CNR, Via Ferrata 1, 27100 Pavia, Italy |
| |
| Abstract: | 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.This revised version was published online in July 2005 with corrected volume and issue numbers. |
| |
| Keywords: | Discontinuous Galerkin Reissner– Mindlin plates locking-free finite elements |
| 本文献已被 SpringerLink 等数据库收录！ |
|
