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
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Explicit parametric solutions of lattice structures with proper generalized decomposition (PGD): applications to the design of 3D-printed architectured materials [PDF]
, 2018 The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-017-1534-9Architectured materials (or metamaterials) are constituted by a unit-cell with a complex structural design repeated periodically forming a bulk material with ...
Auricchio, Ferdinando +4 more
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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
doaj +4 more sources
Skin and Proximity Effect Calculation of a System of Rectangular Conductors Using the Proper Generalized Decomposition Technique [PDF]
EnergiesThis paper presents the application of a numerical approach known as proper generalized decomposition (PGD) to calculate the per-unit length (PUL) ac resistance of rectangular conductors.
Barzan Tabei +2 more
doaj +2 more sources
Proper Generalized Decomposition for Parametric Study and Material Distribution Design of Multi-Directional Functionally Graded Plates Based on 3D Elasticity Solution. [PDF]
Materials (Basel), 2021 Kazemzadeh-Parsi MJ +2 more
europepmc +3 more sources
Towards a Vector Field Based Approach to the Proper Generalized Decomposition (PGD) [PDF]
Mathematics, 2020 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 focuses on
Antonio Falcó +4 more
doaj +2 more sources
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
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Immersed boundary method combined with proper generalized decomposition for simulation of a flexible filament in a viscous incompressible flow [PDF]
Vietnam Journal of Mechanics, 2017 In this paper, a combination of the Proper Generalized Decomposition (PGD) with the Immersed Boundary method (IBM) for solving fluid-filament interaction problem is proposed. In this combination, a forcing term constructed by the IBM is introduced to
Cuong Q. Le, H. Phan-Duc, Son H. Nguyen
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Proper Generalized Decomposition using Taylor expansion for non-linear diffusion equations
Mathematics and Computers in Simulation, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmad Deeb, Omar Kalaoun, Rafik Belarbi
openalex +3 more sources