Results 21 to 30 of about 182,632 (325)

Proper generalized decomposition of multiscale models [PDF]

International Journal for Numerical Methods in Engineering, 2010
AbstractIn this paper the coupling of a parabolic model with a system of local kinetic equations is analyzed. A space–time separated representation is proposed for the global model (this is simply the radial approximation proposed by Pierre Ladeveze in the LATIN framework (Non‐linear Computational Structural Mechanics. Springer: New York, 1999)).
Chinesta, Francisco, Ammar, Amine, Cueto, Elías   +2 more
openaire   +4 more sources

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

Advanced Modeling and Simulation in Engineering Sciences, 2021
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.
Angelo Pasquale, Amine Ammar, Antonio Falcó, Simona Perotto, Elías Cueto, Jean-Louis Duval, Francisco Chinesta   +6 more
doaj   +1 more source

Proper generalized decomposition of time‐multiscale models [PDF]

International Journal for Numerical Methods in Engineering, 2011
SUMMARYModels encountered in computational mechanics could involve many time scales. When these time scales cannot be separated, one must solve the evolution model in the entire time interval by using the finest time step that the model implies. In some cases, the solution procedure becomes cumbersome because of the extremely large number of time steps
Ammar, Amine, Chinesta, Francisco, Cueto, Elías, Doblare, Manuel   +3 more
openaire   +5 more sources

Knee joint injury risk assessment by means of experimental measurements and proper generalized decomposition

Comptes Rendus. Mécanique, 2021
Human joints in general and the human knees particularly are subjected to impacts and wear on a daily basis, specifically during jumping. Considering their inefficient healing and the lack of effective replacements, knee joints became a hot topic for ...
Ghnatios, Chady, Hage, Ilige, Metni, Najib   +2 more
doaj   +1 more source

Proper generalized decomposition solutions within a domain decomposition strategy [PDF]

International Journal for Numerical Methods in Engineering, 2018
SummaryDomain decomposition strategies and proper generalized decomposition are efficiently combined to obtain a fast evaluation of the solution approximation in parameterized elliptic problems with complex geometries. The classical difficulties associated to the combination of layered domains with arbitrarily oriented midsurfaces, which may require in‐
Huerta, Antonio, Nadal, Enrique, Chinesta, Francisco   +2 more
openaire   +8 more sources

On the High-Resolution Discretization of the Maxwell Equations in a Composite Tape and the Heating Effects Induced by the Dielectric Losses

Computation, 2022
Electromagnetic field propagation inside composite materials represents a challenge where fiber-scale simulation remains intractable using classical simulation methods.
Chady Ghnatios, Anais Barasinski, Francisco Chinesta   +2 more
doaj   +1 more source

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

Mathematics, 2020
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.
Antonio Falcó, Lucía Hilario, Nicolás Montés, Marta C. Mora, Enrique Nadal   +4 more
doaj   +1 more source

COUPLING FINITE ELEMENTS AND PROPER GENERALIZED DECOMPOSITIONS [PDF]

International Journal for Multiscale Computational Engineering, 2011
Numerous models encountered in science and engineering remain nowadays , despite the impressive recent progresses attained in computational simulation techniques, intractable when the usual and well experienced discretization techniques are applied for their numerical simulation.
Ammar, Amine, Chinesta, Francisco, Cueto, Elías   +2 more
openaire   +2 more sources

Error estimation and adaptivity for PGD based on complementary solutions applied to a simple 1D problem

Advanced Modeling and Simulation in Engineering Sciences, 2020
Reduced order methods are powerful tools for the design and analysis of sophisticated systems, reducing computational costs and speeding up the development process.
Jonatha Reis, José Paulo Moitinho de Almeida, Pedro Díez, Sergio Zlotnik   +3 more
doaj   +1 more source

Error estimation for proper generalized decomposition solutions: A dual approach [PDF]

International Journal for Numerical Methods in Engineering, 2020
SummaryThe proper generalized decomposition is a well‐established reduced order method, used to efficiently obtain approximate solutions of multi‐dimensional problems in a procedure that controls the effects of the “curse of dimensionality.” The question of assessing the quality of the solutions obtained and adapting the approximations assumed, for ...
Reis, Jonatha, Moitinho de Almeida, J. P., Díez, Pedro, Zlotnik, Sergio   +3 more
openaire   +4 more sources