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Publication . Conference object . 2011

Formal Methods for Multiscale Models Derivation

Dhara, Raj Narayan; Yang, Bin; Belkhir, Walid; Lenczner, Michel; Giorgetti, Alain;
English
Published: 29 Aug 2011
Publisher: HAL CCSD
Country: France
Abstract

International audience; We are currently developing software dedicated to multiscale and multiphysics modeling of arrays of micro and nanosystems. Unlike traditional software that is based on models built once and for all, here this is the software that constructs models. It is based on the mathematical Two-Scale Transform, a technique for asymptotic methods, together with formal specification and verification techniques incomputer science, combining formal transformations and term rewriting and type theory. We aim at taking into account a wide range of geometries combining thin structures, periodic structures with the possibility of multiple nested scales and any combination of these features. In this paper we present the principle of our methods and our first results.

Subjects

[INFO.INFO-DC]Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, [PHYS.MECA]Physics [physics]/Mechanics [physics]

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