Mixed Methods for Elastodynamics with Weak Symmetry

Douglas N. Arnold, Jeonghun J. Lee
2014 SIAM Journal on Numerical Analysis  
We analyze the application to elastodynamic problems of mixed finite element methods for elasticity with weak symmetry. 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.
doi:10.1137/13095032x fatcat:k6uubvjwgrdiflnx5qogiii3qi