| dc.contributor.author | Casas Rentería, Eduardo | |
| dc.contributor.author | Mateos Alberdi, Mariano | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2024-11-25T16:45:33Z | |
| dc.date.available | 2024-11-25T16:45:33Z | |
| dc.date.issued | 2024 | |
| dc.identifier.issn | 0363-0129 | |
| dc.identifier.issn | 1095-7138 | |
| dc.identifier.other | PID2020-114837GB-I00 | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10902/34507 | |
| dc.description.abstract | We show that a second order sufficient condition for local optimality, along with a strict complementarity condition, is enough to get the superlinear convergence of the semismooth Newton method for an optimal control problem governed by a semilinear elliptic equation. The objective functional may include a sparsity promoting term and we allow for box control constraints. | es_ES |
| dc.description.sponsorship | The authors were partially supported by MCIN/AEI/10.13039/501100011033 underresearch project PID2020-114837GB-I00. | es_ES |
| dc.format.extent | 15 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Society for Industrial and Applied Mathematics | es_ES |
| dc.rights | © Society for Industrial and Applied Mathematics | es_ES |
| dc.source | SIAM Journal on Control and Optimization, 2024, 62(6), 3076-3090 | es_ES |
| dc.subject.other | Optimal control | es_ES |
| dc.subject.other | Semilinear elliptic equations | es_ES |
| dc.subject.other | Semismooth Newton method | es_ES |
| dc.title | Convergence analysis of the semismooth newton method for sparse control problems governed by semilinear elliptic equations | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-114837GB-I00/ES/CONTROL OPTIMO DE ECUACIONES EN DERIVADAS PARCIALES NO LINEALES. ESTUDIO TEORICO, ANALISIS NUMERICO Y APLICACIONES/ | es_ES |
| dc.identifier.DOI | 10.1137/23M1585945 | |
| dc.type.version | publishedVersion | es_ES |
