TY - JOUR
T1 - Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms
T2 - An adaptive model order reduction for highly nonlinear mechanical problems
AU - Kerfriden, P.
AU - Gosselet, P.
AU - Adhikari, S.
AU - Bordas, S. P A
PY - 2011/1/15
Y1 - 2011/1/15
N2 - This article describes a bridge between POD-based model order reduction techniques and the classical Newton/Krylov solvers. This bridge is used to derive an efficient algorithm to correct, " on-the-fly" , the reduced order modelling of highly nonlinear problems undergoing strong topological changes. Damage initiation problems tackled via a corrected hyperreduction method are used as an example. It is shown that the relevancy of reduced order model can be significantly improved with reasonable additional costs when using this algorithm, even when strong topological changes are involved.
AB - This article describes a bridge between POD-based model order reduction techniques and the classical Newton/Krylov solvers. This bridge is used to derive an efficient algorithm to correct, " on-the-fly" , the reduced order modelling of highly nonlinear problems undergoing strong topological changes. Damage initiation problems tackled via a corrected hyperreduction method are used as an example. It is shown that the relevancy of reduced order model can be significantly improved with reasonable additional costs when using this algorithm, even when strong topological changes are involved.
KW - Damage propagation
KW - Hyperreduction
KW - Model order reduction (MOR)
KW - Newton/Krylov solver
KW - Projected conjugate gradient
KW - Proper orthogonal decomposition (POD)
UR - http://www.scopus.com/inward/record.url?scp=78650676597&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2010.10.009
DO - 10.1016/j.cma.2010.10.009
M3 - Article
AN - SCOPUS:78650676597
SN - 0045-7825
VL - 200
SP - 850
EP - 866
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 5-8
ER -