@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 """
              In this paper we consider optimal control problems subject to a semilinear elliptic state equation together with the control constraints $0 \\leq u \\leq 1$ and $\\int u=m$. Optimality conditions for this problem are derived and reformulated as a nonlinear, nonsmooth equation which is solved using a semismooth Newton method. A regularization of the nonsmooth equation is necessary to obtain the superlinear convergence of the semismooth Newton method. We prove that the solutions of the regularized problems converge to a solution of the original problem and a path-following technique is used to ensure a constant decrease rate of the residual. We show that, in certain situations, the optimal controls take $0-1$ values, which amounts to solving a topology optimization problem with volume constraint.
            """ ;
    dct:identifier "hal-00636063" ;
    dct:issued "2026-05-31T23:34:26.226444"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-31T23:34:26.226452"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00636063v2/resource/7703ef93-20d5-45c1-9ff3-4b37117ae9a7> ;
    dcat:keyword "infoeu-reposemanticspreprint",
        "mathmath-ocmathematics-mathoptimization-and-control-mathoc",
        "msc2010-35j61-49k20-49m05-49m15-49q10",
        "optimal-control",
        "preprints-working-papers-",
        "semilinear-equation",
        "semismooth-newton-method",
        "topology-optimization",
        "volume-constraint" ;
    dcat:landingPage <https://hal.science/hal-00636063> .

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    dct:format "HTML" ;
    dct:issued "2026-05-31T23:34:26.318780"^^xsd:dateTime ;
    dct:modified "2026-05-31T23:34:26.177122"^^xsd:dateTime ;
    dct:title "A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints" ;
    dcat:accessURL <https://hal.science/hal-00636063> .

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