Tensor Representation of Non-linear Models Using Cross Approximations
Article dans une revue avec comité de lecture
Tensor representations allow compact storage and efficient manipulation of multi-dimensional data. Based on these, tensor methods build low-rank subspaces for the solution of multi-dimensional and multi-parametric models. However, tensor methods cannot always be implemented efficiently, specially when dealing with non-linear models. In this paper, we discuss the importance of achieving a tensor representation of the model itself for the efficiency of tensor-based algorithms. We investigate the adequacy of interpolation rather than projection-based approaches as a means to enforce such tensor representation, and propose the use of cross approximations for models in moderate dimension. Finally, linearization of tensor problems is analyzed and several strategies for the tensor subspace construction are proposed.
Showing items related by title, author, creator and subject.
Advanced parametric space-frequency separated representations in structural dynamics: A harmonic–modal hybrid approach Article dans une revue avec comité de lectureMUHAMMAD HARIS, Malik; BORZACCHIELLO, Domenico; AGUADO, José Vicente; CHINESTA, Francisco (Elsevier Masson, 2018)This paper is concerned with the solution to structural dynamics equations. The technique here presented is closely related to Harmonic Analysis, and therefore it is only concerned with the long-term forced response. Proper ...
Article dans une revue avec comité de lectureBORZACCHIELLO, Domenico; AGUADO, José Vicente; CHINESTA, Francisco (Springer Verlag, 2019)We discuss the use of hierarchical collocation to approximate the numerical solution of parametric models. With respect to traditional projection-based reduced order modeling, the use of a collocation enables non-intrusive ...
Induction machine model with finite element accuracy for condition monitoring running in real time using hardware in the loop system Article dans une revue avec comité de lectureSAPENA-BAÑÓ, Angel; CHINESTA, Francisco; AGUADO, Jose Vicente; BORZACCHIELLO, Domenico; PUCHE-PANADERO, Rubén (Elsevier, 2019)Most industrial processes are run by induction machines (IMs). Condition monitoring of IM assures their continuity of service, and it may avoid highly costly breakdowns. Among the methods for condition monitoring, on-line ...
Article dans une revue avec comité de lectureCHINESTA, Francisco; LEYGUE, Adrien; BORDEU, Felipe; AGUADO, Jose Vicente; CUETO, Elias; GONZALEZ, David; ALFARO, Iciar; AMMAR, Amine; HUERTA, Antonio (Springer Verlag, 2013)In this paper we are addressing a new paradigm in the field of simulation-based engineering sciences (SBES) to face the challenges posed by current ICT technologies. Despite the impressive progress attained by simulation ...
Intelligent assistant system as a context-aware decision-making support for the workers of the future Article dans une revue avec comité de lectureBELKADI, Farouk; DHUIEB, Mohamed Anis; AGUADO, José Vicente; LAROCHE, Florent; BERNARD, Alain; CHINESTA, Francisco (Elsevier, 2020)The key role of information and communication technologies (ICT) to improve manufacturing productivity within the paradigm of factory of the future is often proved. These tools are used in a wide range of product lifecycle ...