Efficient implementation of Galerkin meshfree methods for large-scale problems with an emphasis on maximum entropy approximants
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10.1016/j.compstruc.2014.12.005
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/80113
Tipus de documentArticle
Data publicació2015-04-01
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
ProjecteMODELOS DE CAMPO DE FASE PARA PROBLEMAS DE DISCONTINUIDAD LIBRE: METODOS COMPUTACIONALES Y APLICACIONES EN FRACTURA, MATERIALES FERROELECTRICOS Y MEMBRANAS BIOLOGICAS (MICINN-DPI2011-26589)
MODELOS DE CAMPO DE FASE PARA PROBLEMAS DE DISCONTINUIDAD LIBRE: METODOS COMPUTACIONALES Y APLICACIONES EN FRACTURA, MATERIALES FERROELECTRICOS Y MEMBRANAS BIOLOGICAS (MICINN-DPI2011-26589)
PREDMODSIM - Predictive models and simulations in nano- and biomolecular mechanics: a multiscale approach (EC-FP7-240487)
MODELOS DE CAMPO DE FASE PARA PROBLEMAS DE DISCONTINUIDAD LIBRE: METODOS COMPUTACIONALES Y APLICACIONES EN FRACTURA, MATERIALES FERROELECTRICOS Y MEMBRANAS BIOLOGICAS (MICINN-DPI2011-26589)
PREDMODSIM - Predictive models and simulations in nano- and biomolecular mechanics: a multiscale approach (EC-FP7-240487)
Abstract
In Galerkin meshfree methods, because of a denser and unstructured connectivity, the creation and assembly of sparse matrices is expensive. Additionally, the cost of computing basis functions can be significant in problems requiring repetitive evaluations. We show that it is possible to overcome these two bottlenecks resorting to simple and effective algorithms. First, we create and fill the matrix by coarse-graining the connectivity between quadrature points and nodes. Second, we store only partial information about the basis functions, striking a balance between storage and computation. We show the performance of these strategies in relevant problems. (C) 2014 Elsevier Ltd. All rights reserved.
CitacióPeco, C., Milian, D., Rosolen, A., Arroyo, M. Efficient implementation of Galerkin meshfree methods for large-scale problems with an emphasis on maximum entropy approximants. "Computers & structures", 01 Abril 2015, vol. 150, p. 52-62.
ISSN0045-7949
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meshfree_implementation_Revision.pdf | 1,068Mb | Visualitza/Obre |