A new mixed finite element analysis of the elastodynamic equations

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• 作者：Carlos Garcí ; a^a ; ^{cgarcia@ing-mat.udec.cl" class="auth_mail" title="E-mail the corresponding author} ; Gabriel N. Gatica^a ; ^{ggatica@ci2ma.udec.cl" class="auth_mail" title="E-mail the corresponding author} ; Salim Meddahi^b ; ^{salim@uniovi.es" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Mixed finite elements ; Elastodynamic equations
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：59
• 期：Complete
• 页码：48-55
• 全文大小：642 K

文摘

The main results on a new mixed finite element analysis for linear elastodynamics with reduced symmetry are described in this paper. The model is formulated as a second order system in time in which the main unknowns are given by the Cauchy stress tensor and the rotation. Well-posedness of the resulting variational formulation, as well as unique solvability and convergence results for a conforming semi-discrete scheme and a fully discrete version employing the Newmark trapezoidal rule, are presented.