@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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    dct:description """
              This paper deals with the numerical computation of boundary null controls for the 1D wave equation with a potential. The goal is to compute an approximation of controls that drive the solution from a prescribed initial state to zero at a large enough controllability time. We do not use in this work duality arguments but explore instead a direct approach in the framework of global Carleman estimates. More precisely, we consider the control that minimizes over the class of admissible null controls a functional involving weighted integrals of the state and of the control. The optimality conditions show that both the optimal control and the associated state are expressed in terms of a new variable, the solution of a fourth-order elliptic problem defined in the space-time domain. We first prove that, for some specific weights determined by the global Carleman inequalities for the wave equation, this problem is well-posed. Then, in the framework of the finite element method, we introduce a family of finite-dimensional approximate control problems and we prove a strong convergence result. Numerical experiments confirm the analysis. We complete our study with several comments.
            """ ;
    dct:identifier "hal-00668951" ;
    dct:issued "2026-05-15T11:09:55.996005"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-15T11:09:55.996016"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Numerical controllability of the wave equation through primal methods and Carleman estimates" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00668951v2/resource/6053b69a-35ca-4ca1-aea6-81fa05ffd205> ;
    dcat:keyword "carleman-inequalities",
        "finite-element-methods",
        "infoeu-reposemanticsreport",
        "mathmath-ocmathematics-mathoptimization-and-control-mathoc",
        "null-controllabiity",
        "one-dimensional-wave-equatiion",
        "reports" ;
    dcat:landingPage <https://hal.science/hal-00668951> .

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    dct:format "HTML" ;
    dct:issued "2026-05-15T11:09:56.060220"^^xsd:dateTime ;
    dct:modified "2026-05-15T11:09:55.970647"^^xsd:dateTime ;
    dct:title "Numerical controllability of the wave equation through primal methods and Carleman estimates" ;
    dcat:accessURL <https://hal.science/hal-00668951> .

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    foaf:name "test_moissonnage_selune" .

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