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MIXED METHODS FOR ELASTODYNAMICS WITH WEAK SYMMETRY.
- Source :
-
SIAM Journal on Numerical Analysis . 2014, Vol. 52 Issue 6, p2743-2769. 27p. - Publication Year :
- 2014
-
Abstract
- We analyze the application to elastodynamic problems of mixed finite element methods for elasticity with weakly imposed symmetry of stress. Our approach leads to a semidiscrete method which consists of a system of ordinary differential equations without algebraic constraints. Our error analysis, which is based on a new elliptic projection operator, applies to several mixed finite element spaces developed for elastostatics. The error estimates we obtain are robust for nearly incompressible materials. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361429
- Volume :
- 52
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Numerical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 108638768
- Full Text :
- https://doi.org/10.1137/13095032X