Asynchronous variational integrators (AVIs) are a class of algorithms that allow to discretize continuous models of evolutionary phenomena and preserve their simplectic structure, when it is present. When the phenomenon under analysis is composed by subsystems, AVIs allow one to attribute to each subsystem different time discretizations in a way useful to assure that the energy is “nearly” preserved along computations in the conservative case. Here we summarize a new proof of the convergence of AVIs in the case of linear elastodynamics.

Convergence of AVI’s for the linear elastodynamics of simple bodies / Matteo Focardi; Paolo Maria Mariano. - ELETTRONICO. - (2008), pp. 1-10. ((Intervento presentato al convegno IACM/ECCOMAS 2008 tenutosi a Venezia nel 30 giugno - 4 luglio 2008.

Convergence of AVI’s for the linear elastodynamics of simple bodies

Matteo Focardi;Paolo Maria Mariano
2008

Abstract

Asynchronous variational integrators (AVIs) are a class of algorithms that allow to discretize continuous models of evolutionary phenomena and preserve their simplectic structure, when it is present. When the phenomenon under analysis is composed by subsystems, AVIs allow one to attribute to each subsystem different time discretizations in a way useful to assure that the energy is “nearly” preserved along computations in the conservative case. Here we summarize a new proof of the convergence of AVIs in the case of linear elastodynamics.
Proceedings IACM/ECCOMAS 2008
IACM/ECCOMAS 2008
Venezia
30 giugno - 4 luglio 2008
Goal 9: Industry, Innovation, and Infrastructure
Goal 11: Sustainable cities and communities
Matteo Focardi; Paolo Maria Mariano
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/373870
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