Premium
A multiscale large time increment/FAS algorithm with time‐space model reduction for frictional contact problems
Author(s) -
Giacoma A.,
Dureisseix D.,
Gravouil A.,
Rochette M.
Publication year - 2013
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.4590
Subject(s) - multigrid method , solver , computation , a priori and a posteriori , finite element method , reduction (mathematics) , algorithm , computer science , spacetime , space (punctuation) , mathematics , mathematical optimization , mathematical analysis , geometry , physics , partial differential equation , philosophy , epistemology , operating system , quantum mechanics , thermodynamics
SUMMARY A multiscale strategy using model reduction for frictional contact computation is presented. This new approach aims to improve computation time of finite element simulations involving frictional contact between linear and elastic bodies. This strategy is based on a combination between the LATIN (LArge Time INcrement) method and the FAS multigrid solver. The LATIN method is an iterative solver operating on the whole time‐space domain. Applying an a posteriori analysis on solutions of different frictional contact problems shows a great potential as far as reducibility for frictional contact problems is concerned. Time‐space vectors forming the so‐called reduced basis depict particular scales of the problem. It becomes easy to make analogies with multigrid method to take full advantage of multiscale information. Copyright © 2013 John Wiley & Sons, Ltd.