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)|
|Number of pages||13|
|Journal||Mathematical Models and Methods in Applied Sciences|
|State||Published - Mar 2003|
Bibliographical noteFunding 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.
- Mixed method
- Nonconforming finite element