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Conference Papers Year : 2012

Rewriting Strategies for a Two-Scale Method: Application to Combined Thin and Periodic Structures

Abstract

Multiphysics models of large arrays of micro- and nanosystems are too complex to be efficiently simulated by existing simulation software. Fortunately, asymptotic methods such as those based on two-scale convergence are applicable to homogenization of thin or periodic (i.e. array) structures. They generate simpler models tractable to simulation, but their application is long and requires a mathematical expertise. Our goal is to provide engineers with an implementation of this mathematical tool inside a modeling software.We follow therefore a multidisciplinary approach which combines a generalization and formalization effort of mathematical asymptotic methods, together with rewriting-based formal transformation techniques from computer science. This paper describes this approach, illustrates it with an example and presents the architecture of the software under design.
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Dates and versions

hal-00753003 , version 1 (16-11-2012)

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Bin Yang, Walid Belkhir, Raj Narayan Dhara, Alain Giorgetti, Michel Lenczner. Rewriting Strategies for a Two-Scale Method: Application to Combined Thin and Periodic Structures. dMEMS 2012 - d Software Implementation for Distributed MEMS, Apr 2012, Besançon, France. pp.82-89, ⟨10.1109/dMEMS.2012.14⟩. ⟨hal-00753003⟩
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