A separated representation involving multiple time scales within the Proper Generalized Decomposition framework

Autor: Antonio Falcó, Elías Cueto, Francisco Chinesta, Amine Ammar, Jean Louis Duval, Angelo Pasquale, Simona Perotto

Publikováno v: Advanced Modeling and Simulation in Engineering Sciences
Advanced Modeling and Simulation in Engineering Sciences, 2021, 8 (1), pp.267-293. ⟨10.1186/s40323-021-00211-7⟩
Advanced Modeling and Simulation in Engineering Sciences, Vol 8, Iss 1, Pp 1-22 (2021)
Zaguán. Repositorio Digital de la Universidad de Zaragoza
instname
Advanced Modeling and Simulation in Engineering Sciences, SpringerOpen, 2021, 8 (1), pp.267-293. ⟨10.1186/s40323-021-00211-7⟩

International audience; Abstract Solutions of partial differential equations can exhibit multiple time scales. Standard discretization techniques are constrained to capture the finest scale to accurately predict the response of the system. In this pa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5f7b20c3d7f0b7f9faff3151e0f1a89
https://hal.science/hal-03501301

Towards a Vector Field Based Approach to the Proper Generalized Decomposition (PGD)

Autor: Antonio Falcó, Enrique Nadal, Lucia Hilario, Marta C. Mora, Nicolás Montés

Publikováno v: Repositori Universitat Jaume I
Universitat Jaume I
CEU Repositorio Institucional
Fundación Universitaria San Pablo CEU (FUSPCEU)
Mathematics, Vol 9, Iss 34, p 34 (2021)
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
Mathematics
Volume 9
Issue 1

[EN] A novel algorithm called the Proper Generalized Decomposition (PGD) is widely used by the engineering community to compute the solution of high dimensional problems. However, it is well-known that the bottleneck of its practical implementation f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c90d91e7a093ab1427569803faf43c1

A Path Planning Algorithm for a Dynamic Environment Based on Proper Generalized Decomposition

Autor: Antonio Falcó, Enrique Nadal, Lucia Hilario, Nicolás Montés, Marta C. Mora

Publikováno v: Repositori Universitat Jaume I
Universitat Jaume I
Mathematics
Volume 8
Issue 12
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
CEU Repositorio Institucional
Fundación Universitaria San Pablo CEU (FUSPCEU)
Mathematics, Vol 8, Iss 2245, p 2245 (2020)

[EN] A necessity in the design of a path planning algorithm is to account for the environment. If the movement of the mobile robot is through a dynamic environment, the algorithm needs to include the main constraint: real-time collision avoidance. Th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4a10667879f9e325ca35974c7283449
https://doi.org/10.3390/math8122245