@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 introduce a second-order leap-frog time scheme combined with a high-order discontinuous Galerkin method for the solution of the 3D elastodynamic equations. We prove that this explicit scheme is stable under a CFL type condition obtained from a discrete energy which is preserved in domains with free surface or decreasing in domains with absorbing boundary conditions. Moreover, we study the convergence of the method for both the semi-discrete and the fully discrete scheme, and we illustrate the convergence results by the propagation of an eigenmode. Finally, we examine a more realistic 3D test case simulating the propagation of the wave produced by an explosive source in a half-space which constitutes a validation of the source introduction and the absorbing boundary conditions.
            """ ;
    dct:identifier "hal-00787539" ;
    dct:issued "2026-05-14T13:08:22.019680"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-14T13:08:22.019685"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "ANALYSIS OF A DISCONTINUOUS GALERKIN METHOD FOR ELASTODYNAMIC EQUATIONS. APPLICATION TO 3D WAVE PROPAGATION." ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
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    dcat:keyword "35l5035f1035f1535l0535q99",
        "centered-flux",
        "discontinuous-galerkin-method",
        "elastodynamic-equation",
        "infoeu-reposemanticspreprint",
        "leap-frog-scheme",
        "mathmath-namathematics-mathnumerical-analysis-mathna",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00787539> .

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    dct:issued "2026-05-14T13:08:22.031302"^^xsd:dateTime ;
    dct:modified "2026-05-14T13:08:22.002285"^^xsd:dateTime ;
    dct:title "ANALYSIS OF A DISCONTINUOUS GALERKIN METHOD FOR ELASTODYNAMIC EQUATIONS. APPLICATION TO 3D WAVE PROPAGATION." ;
    dcat:accessURL <https://hal.science/hal-00787539> .

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