A DPG method for shallow shells

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dc.contributor.authorFuhrer, Thomas
dc.contributor.authorHeuer, Norbert
dc.contributor.authorNiemi, Antti H.
dc.date.accessioned2024-01-10T12:37:16Z
dc.date.available2024-01-10T12:37:16Z
dc.date.issued2022
dc.description.abstractWe develop and analyze a discontinuous Petrov-Galerkin method with optimal test functions (DPG method) for a shallow shell model of Koiter type. It is based on a uniformly stable ultraweak formulation and thus converges robustly quasi-uniformly. Numerical experiments for various cases, including the Scordelis-Lo cylindrical roof, elliptic and hyperbolic geometries, illustrate its performance. The built-in DPG error estimator gives rise to adaptive mesh refinements that are capable to resolve boundary and interior layers. The membrane locking is dealt with by raising the polynomial degree only of the tangential displacement trace variable.
dc.fechaingreso.objetodigital2024-03-21
dc.fuente.origenWOS
dc.identifier.doi10.1007/s00211-022-01308-w
dc.identifier.eissn0945-3245
dc.identifier.issn0029-599X
dc.identifier.urihttps://doi.org/10.1007/s00211-022-01308-w
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/76799
dc.identifier.wosidWOS:000841046300001
dc.information.autorucFacultad de Matemáticas; Heuer No Informado, Norbert; S/I; 1006459
dc.issue.numero1
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final99
dc.pagina.inicio67
dc.publisherSPRINGER HEIDELBERG
dc.revistaNUMERISCHE MATHEMATIK
dc.rightsacceso restringido
dc.subject74S05
dc.subject74K25
dc.subject35J35
dc.subject65N30
dc.subject35J67
dc.subject.ods11 Sustainable Cities and Communities
dc.subject.odspa11 Ciudades y comunidades sostenibles
dc.titleA DPG method for shallow shells
dc.typeartículo
dc.volumen152
sipa.codpersvinculados1006459
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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