Mixed methods for elastodynamics with weak symmetry

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2014
Major/Subject
Mcode
Degree programme
Language
en
Pages
27
2743-2769
Series
SIAM Journal on Numerical Analysis, Volume 52, issue 6
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.
Description
Keywords
Elastodynamics, Mixed finite element, Weak symmetry
Other note
Citation
Arnold , D N & Lee , J 2014 , ' Mixed methods for elastodynamics with weak symmetry ' , SIAM Journal on Numerical Analysis , vol. 52 , no. 6 , pp. 2743-2769 . https://doi.org/10.1137/13095032X