A new mixed finite element analysis of the elastodynamic equations. (September 2016)

• Record Type: Journal Article
• Authors: García, Carlos; Gatica, Gabriel N.; Meddahi, Salim
• Is Part Of: Applied mathematics letters. Volume 59(2016:Sep.)
• Page Start: 48
• Page End: 55
• Publication Date: 2016-09
• Subjects: Mixed finite elements -- Elastodynamic equations; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2016.03.004
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: 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.