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Adaptive component mode synthesis in linear elasticity
Author(s) -
Jakobsson Håkan,
Bengzon Fredrik,
Larson Mats G.
Publication year - 2010
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.3078
Subject(s) - subspace topology , a priori and a posteriori , finite element method , elasticity (physics) , linear elasticity , mathematical optimization , component (thermodynamics) , approximation error , algorithm , computer science , mathematics , engineering , artificial intelligence , philosophy , materials science , physics , structural engineering , epistemology , composite material , thermodynamics
Component mode synthesis (CMS) is a classical method for the reduction of large‐scale finite element models in linear elasticity. In this paper we develop a methodology for adaptive refinement of CMS models. The methodology is based on a posteriori error estimates that determine to what degree each CMS subspace influence the error in the reduced solution. We consider a static model problem and prove a posteriori error estimates for the error in a linear goal quantity as well as in the energy and L 2 norms. Automatic control of the error in the reduced solution is accomplished through an adaptive algorithm that determines suitable dimensions of each CMS subspace. The results are demonstrated in numerical examples. Copyright © 2010 John Wiley & Sons, Ltd.