@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#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00967601v1> a dcat:Dataset ;
    dct:description """
              This work aims at formulating a shape optimization problem within a multiobjective optimization framework and approximating it by means of the so-called Multiple-Gradient Descent Algorithm (MGDA), a gradient-based strategy that extends classical Steepest-Descent Method to the case of the simultaneous optimization of several criteria. We describe several variants of MGDA and we apply them to a shape optimization problem in linear elasticity using a numerical solver based on IsoGeometric Analysis (IGA). In particular, we study a multiobjective gradient-based method that approximates the gradients of the functionals by means of the Finite Difference Method; kriging-assisted MGDA that couples a statistical model to predict the values of the objective functionals rather than actually computing them; a variant of MGDA based on the analytical gradients of the functionals extracted from the NURBS -based parametrization of the IGA solver. Some numerical simulations for a test case in computational mechanics are carried on to validate the methods and a comparative analysis of the results is presented.
            """ ;
    dct:identifier "Report N°: RR-8511" ;
    dct:issued "2026-05-05T19:48:07.717682"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-05T19:48:07.717686"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Comparison of multiobjective gradient-based methods for structural shape optimization" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00967601v1/resource/e9c1d350-3a05-45b3-8880-a9af89f5607f> ;
    dcat:keyword "gradient-descent",
        "infoeu-reposemanticsreport",
        "isogeometric-analysis",
        "mathmath-namathematics-mathnumerical-analysis-mathna",
        "mathmath-ocmathematics-mathoptimization-and-control-mathoc",
        "multiobjective-optimization",
        "reports",
        "shape-optimization" ;
    dcat:landingPage <https://inria.hal.science/hal-00967601> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00967601v1/resource/e9c1d350-3a05-45b3-8880-a9af89f5607f> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-05T19:48:07.732131"^^xsd:dateTime ;
    dct:modified "2026-05-05T19:48:07.707427"^^xsd:dateTime ;
    dct:title "Comparison of multiobjective gradient-based methods for structural shape optimization" ;
    dcat:accessURL <https://inria.hal.science/hal-00967601> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://inria.hal.science/hal-00967601> a foaf:Document .