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dc.contributor.author | Carreño, Amanda | es_ES |
dc.contributor.author | Bergamaschi, L. | es_ES |
dc.contributor.author | Martínez, A. | es_ES |
dc.contributor.author | Ginestar Peiro, Damián | es_ES |
dc.contributor.author | Vidal-Ferràndiz, Antoni | es_ES |
dc.contributor.author | Verdú Martín, Gumersindo Jesús | es_ES |
dc.date.accessioned | 2023-11-16T19:02:34Z | |
dc.date.available | 2023-11-16T19:02:34Z | |
dc.date.issued | 2022-06-26 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/199915 | |
dc.description.abstract | [EN] The time-dependent neutron diffusion equation approximates the neutronic power evolution inside a nuclear reactor core. Applying a Galerkin finite element method for the spatial discretization of these equations leads to a stiff semi-discrete system of ordinary differential equations. For time discretization, an implicit scheme is used, which implies solving a large and sparse linear system of equations for each time step. The GMRES method is used to solve these systems because of its fast convergence when a suitable preconditioner is provided. This work explores several matrix-free strategies based on different updated preconditioners, which are constructed by low-rank updates of a given initial preconditioner. They are two tuned preconditioners based on the bad and good Broyden¿s methods, initially developed for nonlinear equations and optimization problems, and spectral preconditioners. The efficiency of the resulting preconditioners under study is closely related to the selection of the subspace used to construct the update. Our numerical results show the effectiveness of these methodologies in terms of CPU time and storage for different nuclear benchmark transients, even if the initial preconditioner is not good enough. | es_ES |
dc.description.sponsorship | This work has been partially supported by Spanish Ministerio de Economia y Competitividad under projects ENE2017-89029-P and MTM2017-85669-P. The second and third authors have been supported by the INdAM Research group GNCS project: Optimization and Advanced Linear Algebra for Problems Governed by PDEs. Furthermore, this work has been financed by the Generalitat Valenciana under the project PROMETEO/2018/035. We sincerely thank the three anonymous reviewers for helping us to significantly improve the manuscript. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | John Wiley & Sons | es_ES |
dc.relation.ispartof | Computational and Mathematical Methods | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.subject.classification | INGENIERIA NUCLEAR | es_ES |
dc.subject.classification | FISICA APLICADA | es_ES |
dc.title | Strategies of Preconditioner Updates for Sequences of Linear Systems Associated with the Neutron Diffusion | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1155/2022/3884836 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/ENE2017-89029-P/ES/VERIFICACION, VALIDACION CUANTIFICACION DE INCERTIDUMBRES Y MEJORA DE LA PLATAFORMA NEUTRONICA%2FTERMOHIDRAULICA PANTHER/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//PROMETEO%2F2018%2F035//BIOINGENIERIA DE LAS RADIACIONES IONIZANTES. BIORA/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-85669-P/ES/PROBLEMAS MATRICIALES: COMPUTACION, TEORIA Y APLICACIONES/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería del Diseño - Escola Tècnica Superior d'Enginyeria del Disseny | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros Industriales - Escola Tècnica Superior d'Enginyers Industrials | es_ES |
dc.description.bibliographicCitation | Carreño, A.; Bergamaschi, L.; Martínez, A.; Ginestar Peiro, D.; Vidal-Ferràndiz, A.; Verdú Martín, GJ. (2022). Strategies of Preconditioner Updates for Sequences of Linear Systems Associated with the Neutron Diffusion. Computational and Mathematical Methods. 2022:1-13. https://doi.org/10.1155/2022/3884836 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1155/2022/3884836 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 13 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 2022 | es_ES |
dc.identifier.eissn | 2577-7408 | es_ES |
dc.relation.pasarela | S\467882 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Agencia Estatal de Investigación | es_ES |
dc.contributor.funder | Istituto Nazionale di Alta Matematica "Francesco Severi" | es_ES |