A non-intrusive proper generalized decomposition scheme with application in biomechanics
Sign Up to like & getrecommendations! Published in 2018 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.5610
Abstract: Summary Proper generalized decomposition (PGD) is often used for multi-query and fast-response simulations. It is a powerful tool alleviating the curse of dimensionality affecting multi-parametric partial differential equations. Most implementations of PGD are intrusive extensions… read more here.
Keywords: generalized decomposition; biomechanics; non intrusive; scheme ... See more keywords
Error estimation for proper generalized decomposition solutions: Dual analysis and adaptivity for quantities of interest
Sign Up to like & getrecommendations! Published in 2020 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.6559
Abstract: When designing a structure or engineering a component, it is crucial to use methods that provide fast and reliable solutions, so that a large number of design options can be assessed. In this context, the… read more here.
Keywords: dual analysis; proper generalized; interest; quantities interest ... See more keywords
Proper Generalized Decomposition With Cauer Ladder Network Applied to Eddy Current Problems
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DOI: 10.1109/tmag.2021.3059800
Abstract: A model order reduction method to recursively compute a Cauer ladder network from static finite-element solutions is extended for use with a double vector potential formulation, which decreases difficulties in solving the finite-element equation system.… read more here.
Keywords: cauer ladder; ladder network; proper generalized;
Proper Generalized Decomposition Method for Solving Fisher-Type Equation and Heat Equation
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DOI: 10.1134/s2070048218010039
Abstract: A model reduction technique—the Proper Generalized Decomposition (PGD) for solving time dependent and multidimensional parameters is reviewed and applied to both the Fisher-type equations and the heat equation. Space-time discretization and separated representation technique for… read more here.
Keywords: type equation; proper generalized; fisher type; heat equation ... See more keywords
A Path Planning Algorithm for a Dynamic Environment Based on Proper Generalized Decomposition
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DOI: 10.3390/math8122245
Abstract: 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… read more here.
Keywords: planning algorithm; dynamic environment; proper generalized; mobile robot ... See more keywords