Reference : Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorith...
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
Computational Sciences
Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: An adaptive model order reduction for highly nonlinear mechanical problems
Kerfriden, P. [Cardiff University, Queen's Buildings, The Parade, Cardiff CF24 3AA, Wales, United Kingdom]
Gosselet, P. [Ecole Normale Superieure de Cachan, 61 Avenue du Président Wilson, F-94230 Cachan, France]
Adhikari, S. [Swansea University, Singleton Park, Swansea SA2 8PP, Wales, United Kingdom]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Computer Methods in Applied Mechanics and Engineering
Yes (verified by ORBilu)
[en] Damage propagation ; Hyperreduction ; Model order reduction (MOR) ; Newton/Krylov solver ; Projected conjugate gradient ; Proper orthogonal decomposition (POD) ; Conjugate gradient ; Proper orthogonal decompositions ; Adaptive algorithms ; Conjugate gradient method ; Topology
[en] 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. © 2010.
Royal Academy of Engineering and Leverhulme Trust Senior Research Fellowship
Towards the next generation surgical simulators
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