Semideterministic global optimization method: Application to a control problem of the Burgers equation
| dc.contributor.author | Ivorra, Benjamín Pierre Paul | |
| dc.contributor.author | Ramos Del Olmo, Ángel Manuel | |
| dc.contributor.author | Mohammadi, B. | |
| dc.date.accessioned | 2023-06-20T09:44:43Z | |
| dc.date.available | 2023-06-20T09:44:43Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | This paper has two objectives. We introduce a new global optimization algorithm reformulating optimization problems in terms of boundary-value problems. Then, we apply this algorithm to a pointwise control problem of the viscous Burgers equation, where the control weight coefficient is progressively decreased. The results are compared with those obtained with a genetic algorithm and an LM-BFGS algorithm in order to check the efficiency of our method and the necessity of using global optimization techniques. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Educación y Ciencia | |
| dc.description.sponsorship | Dirección General e Investigación de la Conserjería de Educación de la Comunidad de Madrid | |
| dc.description.sponsorship | Universidad Complutense de Madrid | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17708 | |
| dc.identifier.doi | 10.1007/s10957-007-9251-8 | |
| dc.identifier.issn | 0022-3239 | |
| dc.identifier.officialurl | http://www.springerlink.com/content/4243535816624737/fulltext.pdf | |
| dc.identifier.relatedurl | http://www.springerlink.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50288 | |
| dc.issue.number | 3 | |
| dc.journal.title | Journal of optimization theory and applications | |
| dc.language.iso | eng | |
| dc.page.final | 561 | |
| dc.page.initial | 549 | |
| dc.publisher | Kluwer Academic/Plenum Publ | |
| dc.relation.projectID | AGL2006-12112-C03-02/ALI | |
| dc.relation.projectID | CCG06-UCM/ESP-1110 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.8 | |
| dc.subject.keyword | Global optimization | |
| dc.subject.keyword | Semideterministic algorithm | |
| dc.subject.keyword | Genetic algorithm | |
| dc.subject.keyword | Optimal control problem | |
| dc.subject.keyword | Burgers equation | |
| dc.subject.ucm | Investigación operativa (Matemáticas) | |
| dc.subject.unesco | 1207 Investigación Operativa | |
| dc.title | Semideterministic global optimization method: Application to a control problem of the Burgers equation | |
| dc.type | journal article | |
| dc.volume.number | 135 | |
| dcterms.references | Mohammadi, B., Saiac, J.H.: Pratique de la Simulation Numérique. Dunod, Paris (2002) Attouch, H., Cominetti, R.: A dynamical approach to convex minimization coupling approximation with the steepest descent method. J. Differ. Equ. 128(2), 519–540 (1996)Shivamoggi, B.K.: Theoretical Fluid Dynamics. Martinus Nijhoff Publishers, Dordrecht (1985) Goldberg, D.: Genetic Algorithms in Search, Optimization and Machine Learning. Addison–Wesley,Reading (1989) Dumas, L., Herbert, V., Muyl, F.: Hybrid method for aerodynamic shape optimization in automotive industry. Comput. Fluids 33(5), 849–858 (2004) Liu, D.C., Nocedal, J.: On the limited memory BFGS method for large-scale optimization. Math.Program. 45, 503–528 (1989) Ivorra, B. Semi-deterministic global optimization. PhD Thesis, Montpellier University, France (2006) Debiane, L., Ivorra, B., Mohammadi, B., Nicoud, F., Ern, A., Poinsot, T., Pitsch, H.: A low-complexity global optimization algorithm for temperature and pollution control in flames with complex chemistry.Int. J. Comput. Fluid Dyn. 20(2), 93–98 (2006) Ivorra, B., Mohammadi, B., Santiago, J.G., Hertzog, D.E.:Semi-deterministic and genetic algorithms for global optimization of microfluidic protein folding devices. Int.J. Numer. Methods Eng. 66(2),319–333 (2006) Ivorra, B., Mohammadi, B., Redont, P., Dumas, L., Durand, O.: Semi-deterministic vs. genetic algorithms for global optimization of multichannel optical filters. Int. J.Comput. Sci. Eng. 2(3), 170–178 (2006) Broyden, C.G., Fletcher, R., Goldfarb, D., Shanno, D.F.:BFGS method. J. Inst. Math. Appl. 6, 76–90 (1970) Ramos, A.M., Glowinski, R., Periaux, J.: Pointwise control of the Burgers equation and related Nash equilibrium problems: computational approach. J. Optim. Theory Appl. 112(3), 499–516 (2002) | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 6d5e1204-9b8a-40f4-b149-02d32e0bbed2 | |
| relation.isAuthorOfPublication | 581c3cdf-f1ce-41e0-ac1e-c32b110407b1 | |
| relation.isAuthorOfPublication.latestForDiscovery | 6d5e1204-9b8a-40f4-b149-02d32e0bbed2 |
Download
Original bundle
1 - 1 of 1