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Real-Time Path Planning Based on Harmonic Functions under a Proper Generalized Decomposition-Based Framework [PDF]
Sensors, 2021 This paper presents a real-time global path planning method for mobile robots using harmonic functions, such as the Poisson equation, based on the Proper Generalized Decomposition (PGD) of these functions.
Nicolas Montés +6 more
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Numerical strategies for the Galerkin–proper generalized decomposition method [PDF]
Mathematical and Computer Modelling, 2013 The Proper Generalized Decomposition or, for short, PGD is a tensor decomposition based technique to solve PDE problems. It reduces calculation and storage cost drastically and presents some similarities with the Proper Orthogonal Decomposition, for ...
Falco, Antonio +3 more
core +4 more sources
Analysis of Stationary Random Vibrating Systems Using Smooth Decomposition [PDF]
Shock and Vibration, 2013 A modified Karhunen-Loève Decomposition/Proper Orthogonal Decomposition method, named Smooth Decomposition (SD) (also named smooth Karhunen-Loève decomposition), was recently introduced to analyze stationary random signal.
Sergio Bellizzi, Rubens Sampaio
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A non-intrusive proper generalized decomposition scheme with application in biomechanics [PDF]
International Journal for Numerical Methods in Engineering, 2017 This is the peer reviewed version of the following article: Zou, X., Conti, M., Diez, P., Auricchio, F. A non-intrusive proper generalized decomposition scheme with application in biomechanics. "International journal for numerical methods in engineering",
Auricchio, Ferdinando +3 more
core +9 more sources
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 +6 more
doaj +2 more sources
An efficient PGD solver for structural dynamics applications [PDF]
Advanced Modeling and Simulation in Engineering SciencesWe propose in this paper a Proper Generalized Decomposition (PGD) solver for reduced-order modeling of linear elastodynamic problems. It primarily focuses on enhancing the computational efficiency of a previously introduced PGD solver based on the ...
Clément Vella +2 more
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Modeling the human knee joint using the Proper Generalized Decomposition [PDF]
MATEC Web of Conferences, 2019 Nowadays, human joints specifically movable are active research topics. The lack of effective replacements and the inefficient natural healing of these joints hinders any athlete from pursuing his career if injured in his joints.
Ghnatios Chady, Hage Ilige, Metni Najib
doaj +1 more source
Parametric Damage Mechanics Empowering Structural Health Monitoring of 3D Woven Composites
Sensors, 2023 This paper presents a data-driven structural health monitoring (SHM) method by the use of so-called reduced-order models relying on an offline training/online use for unidirectional fiber and matrix failure detection in a 3D woven composite plate. During
Maurine Jacot +3 more
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Local proper generalized decomposition [PDF]
International Journal for Numerical Methods in Engineering, 2017 SummaryOne of the main difficulties that a reduced‐order method could face is the poor separability of the solution. This problem is common to both a posteriori model order reduction (proper orthogonal decomposition, reduced basis) and a priori [proper generalized decomposition (PGD)] model order reduction.
Alberto Badías +4 more
openaire +5 more sources
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 +2 more
openaire +4 more sources