[PDF] Top 20 Proper Orthogonal Decomposition and Model Reduction of Nonlinear Systems
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Proper Orthogonal Decomposition and Model Reduction of Nonlinear Systems
... orthogonal basis for efficient representation of the ...advantage of the decomposition is that each POM is associated with a proper orthogonal value (POV) which immediately ... Voir le document complet
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Proper Orthogonal modes for the characterisation of nonlinear dynamic systems
... reduced-order model based on the POMs of a periodic orbit, ...the model in accordance with the ...five of these POMs were also used for reduced-order mod- elling, and the results were ... Voir le document complet
4
Model reduction based on Proper Generalized Decomposition for the Stochastic steady incompressible Navier-Stokes equations
... feature of such PGD methods is that the computation of the determin- istic and stochastic modes of the solution is decoupled: this allows remarkable savings with respect to the standard ... Voir le document complet
35
Approximate Low Dimensional Models Based on Proper Orthogonal Decomposition for Black-Box Applications
... Many model reduction methods employ a projection approach, which requires computation of a reduced-space ...methods of constructing the basis functions, including the reduced basis method ... Voir le document complet
7
A priori model reduction through Proper Generalized Decomposition for solving time-dependent partial differential equations
... definitions of Proper Generalized De- compositions (PGD) for the a priori construction of separated variables rep- resentation of the solution of time-dependent ...definition of ... Voir le document complet
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Model Order Reduction based on Proper Generalized Decomposition for the Propagation of Uncertainties in Structural Dynamics
... context of structural dynamics, the random response can be severely disturbed by low variabilities on the ...impact of random variabilities are traditionally estimated using sampling techniques such as ... Voir le document complet
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A Short Review in Model Order Reduction Based on Proper Generalized Decomposition
... from nonlinear approxima- tion theory explored, for example, in [ 44 ...version of the algorithm, based on the mini- mization of a sequence of Dirichlet energies, was shown to ...analysis ... Voir le document complet
11
Nonlinear normal mode continuation through a Proper Generalized Decomposition approach with modal enrichment
... Abstract Nonlinear normal modes (NNMs) of a mechanical structure provide a mean to understand nonlinear vibrational phenomena measured ...extension of the linear normal modes (LNMs), numerical ... Voir le document complet
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Balanced Proper Orthogonal Decomposition Applied to Magnetoquasistatic Problems Through a Stabilization Methodology
... France Model Order Reduction (MOR) methods are applied in different areas of physics in order to reduce the computational time of large scale ...field of research for many years, in ... Voir le document complet
11
Galerkin-free model reduction for fluid-structure interaction using proper orthogonal decomposition
... context of dynamic systems and control theory, now they are essential in many ...context of systems and control theory, the method of balanced truncation [2, 3] is based ... Voir le document complet
28
Local proper generalized decomposition
... space and time, without any parametric ...only, and doing it ...number of nodes both in spatial and temporal ...sub-domain, and a global solution in separate variables where the spatial ... Voir le document complet
22
Physical analysis of the coherent motion during hysteretic static stall of Naca foil using proper orthogonal decomposition
... deposit and dissemination of sci- entific research documents, whether they are pub- lished or ...teaching and research institutions in France or abroad, or from public or private research ... Voir le document complet
4
Robust Subspace Identification of a Nonlinear Satellite Using Model Reduction
... analysis of the estimated nonlinear coefficients and their frequency-dependence often offers a convenient tool to assess the quality of the identification ...calculated nonlinear ... Voir le document complet
15
Physical analysis of the coherent motion during hysteretic static stall of Naca foil using proper orthogonal decomposition
... stall of airfoil, an hysteretic behavior (corresponding to an abrupt loss of lift) has been observed leading to a partially detached flow (called state I, upper increasing angle branch) and massively ... Voir le document complet
3
Proper Generalized Decomposition of Multiscale Models
... the Proper Generalized ...sophisticated and powerful coupling techniques exist for solving non-linear coupled models (the LATIN proposed by Pierre Ladeveze [12] is an excellent candidate) in this paper we ... Voir le document complet
25
Wavelet-based multiscale proper generalized decomposition
... heart of Proper Generalized Decomposition are con- structed incrementally by minimizing the problem ...resulting decomposition do not exhibit a clear multi-scale ...description of the ... Voir le document complet
17
Wavelet-based multiscale proper generalized decomposition
... heart of Proper Generalized Decomposition are con- structed incrementally by minimizing the problem ...resulting decomposition do not exhibit a clear multi-scale ...description of the ... Voir le document complet
17
A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems -- Analysis, assessments and applications to parameter estimation
... spirit of the numerical inf-sup test of ...context of “self- approximation”, namely, using the reference solution itself – of which an approximation is sought – to construct the POD ...family. ... Voir le document complet
26
The Church-rosser theorem in orthogonal combinatory reduction systems
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet
20
Proper Generalized Decomposition of Time-Multiscale Models
... principles of spatial homoge- nization to time multiscale ...separation of time scales is mandatory, as in traditional homogenization ...topic of establishing parallel approaches in time, needed for ... Voir le document complet
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