A DPG method for linear quadratic optimal control problems

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dc.catalogadorjwg
dc.contributor.authorFührer, Thomas
dc.contributor.authorFuica Villagra, Francisco
dc.date.accessioned2024-05-15T14:55:23Z
dc.date.available2024-05-15T14:55:23Z
dc.date.issued2024
dc.description.abstractThe DPG method with optimal test functions for solving linear quadratic optimal control problems with control constraints is studied. We prove existence of a unique optimal solution of the nonlinear discrete problem and characterize it through first-order optimality conditions. Furthermore, we systematically develop a priori as well as a posteriori error estimates. Our proposed method can be applied to a wide range of constrained optimal control problems subject to, e.g., scalar second-order PDEs and the Stokes equations. Numerical experiments that illustrate our theoretical findings are presented.
dc.description.funderANID
dc.description.funderFONDECYT
dc.description.funderFONDECYT
dc.fechaingreso.objetodigital2024-08-30
dc.fuente.origenSCOPUS
dc.identifier.doi10.1016/j.camwa.2024.04.027
dc.identifier.issn08981221
dc.identifier.scopusidSCOPUS_ID:85192147035
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/85680
dc.identifier.wosidWOS:001240032200001
dc.information.autorucFacultad de Matemáticas; Führer Thomas; S/I; 250324
dc.language.isoen
dc.nota.accesoContenido parcial
dc.pagina.final117
dc.pagina.inicio106
dc.publisherElsevier Ltd
dc.revistaComputers and Mathematics with Applications
dc.rightsacceso restringido
dc.subjectConvergence
dc.subjectDiscontinuous Petrov–Galerkin method
dc.subjectError estimates
dc.subjectFinite elements
dc.subjectOptimal control
dc.subjectOptimal test functions
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleA DPG method for linear quadratic optimal control problems
dc.typeartículo
dc.volumen166
sipa.codpersvinculados250324
sipa.trazabilidadSCOPUS;2024-05-12
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