Proper Generalized Decomposition based dynamic data driven inverse identification

Mathematics and Computers in Simulation

Volumn 82, Issue 9, 2012, Pages 1677-1695

  Gonzalez D ^a   Masson, F ^a,b   Poulhaon, F ^b   Leygue, A ^b   Cueto, E ^a   Chinesta, F ^b  

^a UNIVERSITY OF ZARAGOZA   (Spain)

^b INSTITUT DE RECHERCHE EN GÉNIE CIVIL ET MÉCANIQUE GEM   (France)

Author keywords

Dynamic data driven application systems; Inverse identification; Model reduction; Nonlinear dynamical systems; Proper Generalized Decomposition

Indexed keywords

APPLIED SCIENCE; COMPUTER EXPERIMENT; CURSE OF DIMENSIONALITY; DATA-DRIVEN APPLICATIONS; DYNAMIC DATA; ENGINEERING SCIENCE; FAST SIMULATION TOOL; GENERAL SOLUTIONS; INVERSE IDENTIFICATION; MEASUREMENT DEVICE; MEASUREMENT PROCESS; META-MODELING TECHNIQUE; MODEL REDUCTION; MULTI-DIMENSIONAL SPACE; OFF-LINE COMPUTATION; ONLINE COMPUTATIONS; PHYSICS-BASED; PROPER GENERALIZED DECOMPOSITIONS; SIMULATION-BASED; SOURCES OF VARIABILITY;

NONLINEAR DYNAMICAL SYSTEMS; PARAMETER ESTIMATION; REAL TIME CONTROL;

TOOLS;

EID: 84861648585     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2012.04.001     Document Type: Article

References (22)

1. A. Ammar, F. Chinesta, P. Diez, and A. Huerta An error estimator for separated representations of highly multidimensional models Computer Methods in Applied Mechanics and Engineering 199 25-28 2010 1872 1880 http://www. sciencedirect.com/science/article/pii/S0045782510000708
2. A. Ammar, F. Chinesta, and A. Falcó On the convergence of a greedy rank-one update algorithm for a class of linear systems Archives of Computational Methods in Engineering 17 2010 473 486 10.1007/s11831-010-9048-z
3. A. Ammar, B. Mokdad, F. Chinesta, and R. Keunings A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids. Part II: transient simulation using space-time separated representations Journal of Non-Newtonian Fluid Mechanics 144 2007 98 121
4. A. Ammar, B. Mokdad, F. Chinesta, and R. Keunings A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids Journal of Non-Newtonian Fluid Mechanics 139 2006 153 176
5. A. Ammar, M. Normandin, F. Naim, D. González, E. Cueto, and F. Chinesta Non-incremental strategies based on separated representations: applications in computational rheology Communications in Mathematical Sciences 8 3 2010 671 695
6. V. Authors, Final report, DDDAS Workshop at Arlington, VA, Tech. Rep., National Science Foundation, 2000.
7. V. Authors, Final report, DDDAS Workshop at Arlington, VA, Tech. Rep., National Science Foundation, 2006.
8. H.-J. Bungartz, and M. Griebel Sparse grids Acta Numerica 13 2004 1 123
9. E. Cancès, M. Defranceschi, W. Kutzelnigg, C.L. Bris, and Y. Maday Computational quantum chemistry: a primer Handbook of Numerical Analysis, vol. X 2003 pp. 3-270
10. F. Chinesta, A. Ammar, and E. Cueto On the use of Proper Generalized Decompositions for solving the multidimensional Chemical Master Equation European Journal of Computational Mechanics 19 2010 53 64
11. F. Chinesta, A. Ammar, and E. Cueto Recent advances in the use of the Proper Generalized Decomposition for solving multidimensional models Archives of Computational Methods in Engineering 17 4 2010 327 350
12. F. Chinesta, P. Ladeveze, and E. Cueto A short review on model order reduction based on Proper Generalized Decomposition Archives of Computational Methods in Engineering 18 2011 395 404
13. D. González, A. Ammar, F. Chinesta, and E. Cueto Recent advances on the use of separated representations International Journal for Numerical Methods in Engineering 81 5 2010 637 659 10.1002/nme.2710
14. P. Ladeveze Nonlinear Computational Structural Mechanics 1999 Springer New York
15. P. Ladeveze, J. Passieux, and D. Neron The LATIN multiscale computational method and the Proper Generalized Decomposition Computer Methods in Applied Mechanics and Engineering 199 21-22, SI 2010 1287 1296
16. P. Ladeveze, J.-C. Passieux, and D. Neron The Latin multiscale computational method and the proper generalized decomposition Computer Methods in Applied Mechanics and Engineering 199 21-22 2010 1287 1296 http://www.sciencedirect.com/science/article/pii/S0045782509002643
17. H. Lamari, A. Ammar, P. Cartraud, G. Legrain, F. Jacquemin, and F. Chinesta Routes for the efficient non-concurrent homogenization of non-linear heterogeneous materials by using the proper generalized decomposition Archives of Computational Methods in Engineering 17 4 2010 373 391
18. C. Le Bris, T. Lelievre, and Y. Maday Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations Constructive Approximation 30 2009 621 651 10.1007/s00365-009-9071-1
19. A. Leygue, and E. Verron A first step towards the use of proper generalized decomposition methods for structural optimization Archives of Computational Methods in Engineering 17 4 2010 465 472
20. J.T. Oden, T. Belystchko, J. Fish, T.J.R. Hughes, C. Johnson, D. Keyes, A. Laub, L. Petzold, D. Srolovitz, S. Yip, Simulation based engineering science: revolutionizing engineering science through simulation, Tech. Rep., National Science Foundation Blue Ribbon Panel on SBES, 2006.
21. E. Pruliere, A. Ammar, N.E. Kissi, and F. Chinesta Multiscale modelling of flows involving short fiber suspensions Archives of Computational Methods in Engineering 16 2009 1 30
22. E. Pruliere, F. Chinesta, and A. Ammar On the deterministic solution of multidimensional parametric models using the Proper Generalized Decomposition Mathematics and Computers in Simulation 81 4 2010 791 810 10.1016/j.matcom.2010. 07.015