Asynchronous Variational Integrators
نویسندگان
چکیده
منابع مشابه
Parallel asynchronous variational integrators
This paper presents a scalable parallel variational time integration algorithm for nonlinear elastodynamics with the distinguishing feature of allowing each element in the mesh to have a possibly different time step. Furthermore, the algorithm is obtained from a discrete variational principle, and hence it is termed Parallel Asynchronous Variational Integrator (PAVI). Based on a domain decompos...
متن کاملAsynchronous Variational Integrators
We describe a new class of asynchronous variational integrators (AVI) for nonlinear elastodynamics. The AVIs are distinguished by the following attributes: (i) The algorithms permit the selection of independent time steps in each element, and the local time steps need not bear an integral relation to each other; (ii) the algorithms derive from a spacetime form of a discrete version of Hamilton’...
متن کاملStability of Asynchronous Variational Integrators
The formulation of multiple–time–step integrators can provide substantial computational savings for mechanical systems with multiple time scales. However, the scope of these savings may be severely limited by the range of allowable time step choices. In this paper we have performed an exhaustive study of the linear stability of the fully asynchronous methods called AVI (asynchronous variational...
متن کاملAsynchronous multi-domain variational integrators for nonlinear hyperelastic solids
Article history: Received 11 March 2009 Received in revised form 5 January 2010 Accepted 24 February 2010 Available online 11 March 2010
متن کاملAsynchronous multi-domain variational integrators for non-linear problems
We develop an asynchronous time integration and coupling method with domain decomposition for linear and non-linear problems in mechanics. To ensure stability in the time integration and in coupling between domains, we use variational integrators with local Lagrange multipliers to enforce continuity at the domain interfaces. The asynchronous integrator lets each domain step with its own time st...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2003
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-002-0212-y