1. MIXED METHODS FOR ELASTODYNAMICS WITH WEAK SYMMETRY.
- Author
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ARNOLD, DOUGLAS N. and LEE, JEONGHUN J.
- Subjects
- *
ELASTODYNAMICS , *SYMMETRY (Physics) , *ORDINARY differential equations , *ERROR analysis in mathematics , *FINITE element method - 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]
- Published
- 2014
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