Physics – Classical Physics
Scientific paper
2011-09-22
Computer Methods in Applied Mechanics and Engineering 200, 5-8 (2010) 850-866
Physics
Classical Physics
Scientific paper
10.1016/j.cma.2010.10.009
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 are addressed and tackle via a corrected hyperreduction method. 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.
Adhikari Sondipon
Bordas Stéphane
Gosselet Pierre
Kerfriden Pierre
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