Object-oriented design to automate a high order non-linear solver based on asymptotic numerical method

Authors:
Arnaud Lejeune;Fabien Béchet;Hakim Boudaoud;Norman Mathieu;Michel Potier-Ferry
Affiliations:
Institut Femto-ST, UMR 6174, Département Méc'Appli, 24 rue de l'épitaphe, 25000 Besançon, France;TEMPO, EA 4542 Université de Valenciennes et du Hainaut Cambrésis, 59313 Valenciennes, France;Equipe de Recherche sur les Processus Innovatifs, Ecole Nationale Supérieure en Génie des Systèmes Industriels, 8, rue Bastien Lepage, BP 90647, 54010 Nancy, France;LEM3, Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux, UMR 7239, Ile du Saulcy, 57045 Metz, France;LEM3, Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux, UMR 7239, Ile du Saulcy, 57045 Metz, France
Venue:
Advances in Engineering Software
Year:
2012

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Abstract

The Manitoo library is devoted to the resolution of analytical non-linear problems using a high order method called asymptotic numerical method. We describe here the Object Oriented design of this library and especially the choices made to obtain a quite generic and flexible numerical solver. Through classical examples, we present a comparison with some existing tools implemented in Matlab and Fortran 77.