A Discontinuous Petrov–Galerkin Method for Reissner–Mindlin Plates

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dc.catalogadorgjm
dc.contributor.authorFührer, Thomas
dc.contributor.authorHeuer, Norbert
dc.contributor.authorNiemi, Antti H.
dc.date.accessioned2023-07-20T20:27:36Z
dc.date.available2023-07-20T20:27:36Z
dc.date.issued2023
dc.description.abstractWe present a discontinuous Petrov–Galerkin method with optimal test functions for the Reissner–Mindlin plate bending model. Our method is based on a variational formulation that utilizes a Helmholtz decomposition of the shear force. It produces approximations of the primitive variables and the bending moments. For any canonical selection of boundary conditions the method converges quasi-optimally. In the case of hard-clamped convex plates, we prove that the lowest-order scheme is locking free. Several numerical experiments confirm our results.
dc.fechaingreso.objetodigital2023-07-20
dc.fuente.origenORCID
dc.identifier.doi10.1137/22M1498838
dc.identifier.urihttps://doi.org/10.1137/22M1498838
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/74221
dc.information.autorucFacultad de Matemáticas; Führer, Thomas; 0000-0001-5034-6593; 250324
dc.information.autorucFacultad de Matemáticas; Heuer, Norbert; 0000-0002-5171-1457; 1006459
dc.issue.numero2
dc.language.isoen
dc.nota.accesoContenido parcial
dc.pagina.final1017
dc.pagina.inicio995
dc.revistaSIAM Journal on Numerical Analysis
dc.rightsacceso restringido
dc.subjectDPG method
dc.subjectPlate bending
dc.subjectReissner-Mindlin model
dc.subjectLocking
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleA Discontinuous Petrov–Galerkin Method for Reissner–Mindlin Plates
dc.typeartículo
dc.volumen61
sipa.codpersvinculados250324
sipa.codpersvinculados1006459
sipa.trazabilidadORCID;2023-07-17
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