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Efficient implementation of Galerkin meshfree methods for large-scale problems with an emphasis on maximum entropy approximants
dc.contributor.author | Peco, Christian |
dc.contributor.author | Milian, Daniel |
dc.contributor.author | Rosolen, Adrian Martin |
dc.contributor.author | Arroyo Balaguer, Marino |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2015-12-02T12:16:42Z |
dc.date.available | 2017-04-01T00:30:55Z |
dc.date.issued | 2015-04-01 |
dc.identifier.citation | Peco, 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. |
dc.identifier.issn | 0045-7949 |
dc.identifier.uri | http://hdl.handle.net/2117/80113 |
dc.description.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. |
dc.format.extent | 11 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics |
dc.subject.lcsh | Numerical methods and algorithms |
dc.subject.other | Meshfree methods |
dc.subject.other | Local maximum entropy |
dc.subject.other | Sparse matrix efficient assembly |
dc.subject.other | Matrix structure creation |
dc.subject.other | Optimal memory storage |
dc.subject.other | Code optimization |
dc.subject.other | KERNEL PARTICLE METHODS |
dc.subject.other | FINITE-ELEMENT-METHOD |
dc.subject.other | PHASE-FIELD MODELS |
dc.subject.other | MESHLESS METHODS |
dc.subject.other | SEAMLESS BRIDGE |
dc.subject.other | INTERPOLANTS |
dc.subject.other | CONSTRUCTION |
dc.subject.other | SCHEMES |
dc.subject.other | FORMULATION |
dc.subject.other | FRACTURE |
dc.title | Efficient implementation of Galerkin meshfree methods for large-scale problems with an emphasis on maximum entropy approximants |
dc.type | Article |
dc.subject.lemac | Resistència de materials |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1016/j.compstruc.2014.12.005 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids::74S Numerical methods |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/abs/pii/S0045794914002831?via%3Dihub |
dc.rights.access | Open Access |
local.identifier.drac | 15561569 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MICINN//DPI2011-26589/ES/MODELOS DE CAMPO DE FASE PARA PROBLEMAS DE DISCONTINUIDAD LIBRE: METODOS COMPUTACIONALES Y APLICACIONES EN FRACTURA, MATERIALES FERROELECTRICOS Y MEMBRANAS BIOLOGICAS/ |
dc.relation.projectid | info:eu-repo/grantAgreement/MICINN//DPI2011-26589/ES/MODELOS DE CAMPO DE FASE PARA PROBLEMAS DE DISCONTINUIDAD LIBRE: METODOS COMPUTACIONALES Y APLICACIONES EN FRACTURA, MATERIALES FERROELECTRICOS Y MEMBRANAS BIOLOGICAS/ |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/240487/EU/Predictive models and simulations in nano- and biomolecular mechanics: a multiscale approach/PREDMODSIM |
local.citation.author | Peco, C.; Milian, D.; Rosolen, A.; Arroyo, M. |
local.citation.publicationName | Computers & structures |
local.citation.volume | 150 |
local.citation.startingPage | 52 |
local.citation.endingPage | 62 |
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