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Nonincremental proper generalized decomposition solution of parametric uncoupled models defined in evolving domains
Author(s) -
Ammar Amine,
Cueto Elías,
Chinesta Francisco
Publication year - 2012
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.4413
Subject(s) - kinematics , parametric statistics , work (physics) , domain (mathematical analysis) , decomposition , mathematics , space (punctuation) , mathematical optimization , domain decomposition methods , galerkin method , computer science , mathematical analysis , engineering , finite element method , classical mechanics , physics , structural engineering , mechanical engineering , ecology , statistics , biology , operating system
SUMMARY This work addresses the recurrent issue related to the existence of reduced bases related to the solution of parametric models defined in evolving domains. In this first part of the work, we address the case of decoupled kinematics, that is, models whose solution does not affect the domain in which they are defined. The chosen framework considers an updated Lagrangian description of the kinematics, solved by using natural neighbor Galerkin methods within a nonincremental space–time framework that can be generalized for addressing parametric models. Examples showing the performance and potentialities of the proposed methodology are included.Copyright © 2012 John Wiley & Sons, Ltd.