Within the setting of linear elastodynamics of simple bodies, we prove that the discrete action functional obtained by following the scheme of asynchronous variational integrators converges in time. The convergence in space is assured by standard arguments when the finite element mesh is progressively refined.
Convergence of asynchronous variational integrators in linear elastodynamics / Matteo Focardi; Paolo Maria Mariano. - STAMPA. - Aimeta 2007. Atti del 18º COngresso dell'Associazione italiana di meccanica teorica e applicata.:(2007), pp. 1-8. (Intervento presentato al convegno AIMETA 2007 tenutosi a BRESCIA nel 11-14.09.07).
Convergence of asynchronous variational integrators in linear elastodynamics
Matteo Focardi;Paolo Maria Mariano
2007
Abstract
Within the setting of linear elastodynamics of simple bodies, we prove that the discrete action functional obtained by following the scheme of asynchronous variational integrators converges in time. The convergence in space is assured by standard arguments when the finite element mesh is progressively refined.
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