Towards an automatic tool for multi-scale model derivation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2015

Towards an automatic tool for multi-scale model derivation


This paper reports recent advances in the development of a symbolic asymptotic mod-eling software package, called MEMSALab, which will be used for automatic generation of asymptotic models for arrays of micro and nanosystems. More precisely, a model is a partial differential equation and an asymptotic method approximate it by another partial differential equation which can be numerically simulated in a reasonable time. The challenge consists in taking into account a wide range of different physical features and geometries e.g. thin structures, periodic structures, multiple nested scales etc. The main purpose of this software is to construct models incrementally so that model features can be included step by step. This idea, conceptualized under the name "by-extension-combination", is presented in detail for the first time.
Fichier principal
Vignette du fichier
long-version-michel.pdf (942.07 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01223141 , version 1 (05-11-2015)


  • HAL Id : hal-01223141 , version 1


Walid Belkhir, Nicolas Ratier, Duy Duc Nguyen, Bin Yang, Michel Lenczner, et al.. Towards an automatic tool for multi-scale model derivation. 2015. ⟨hal-01223141⟩
181 View
76 Download


Gmail Facebook X LinkedIn More