Abstract
We construct first-order, stable, nonconforming mixed finite elements for plane elasticity and analyze their convergence. The mixed method is based on the Hellinger-Reissner variational formulation in which the stress and displacement fields are the primary unknowns, The stress elements use polynomial shape functions but do not involve vertex degrees of freedom.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 295-307 |
| Number of pages | 13 |
| Journal | Mathematical Models and Methods in Applied Sciences |
| Volume | 13 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2003 |
Bibliographical note
Funding Information:The first author was supported by NSF grant DMS-9870399 and the second author by the Research Council of Norway under grant 135420/431.
Keywords
- Elasticity
- Mixed method
- Nonconforming finite element