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On the enforcing energy conservation of time‐finite elements for particle systems
Author(s) -
Bui Q. V.
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1742
Subject(s) - enforcement , energy conservation , conservation of energy , conservation law , finite element method , integrator , quadrature (astronomy) , computer science , engineering , control theory (sociology) , physics , mathematics , structural engineering , political science , bandwidth (computing) , electronic engineering , mathematical analysis , telecommunications , electrical engineering , control (management) , artificial intelligence , law , thermodynamics
In the framework of the time‐finite element method, energy‐conserving temporal integrators are developed through the design of non‐standard quadrature. The latter can be achieved by a global enforcement of the force field issued from the standard quadrature. This might, however, lead to an undesirable coupling of all degrees of freedom. A local enforcement is suggested to enhance the enforcement of energy conservation through a tailored modification to each component of acting forces. Representative examples for non‐linear particle systems are presented in order to examine the quality of various approaches in the enforcement of energy conservation. Copyright © 2006 John Wiley & Sons, Ltd.