A robust DPG method for large domains

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dc.catalogadorgjm
dc.contributor.authorFührer, Thomas
dc.contributor.authorHeuer, Norbert
dc.date.accessioned2023-07-17T21:04:31Z
dc.date.available2023-07-17T21:04:31Z
dc.date.issued2021
dc.description.abstractWe observe a dramatic lack of robustness of the DPG method when solving problems on large domains and where stability is based on a Poincare-type inequality. We show how robustness can be re-established by using appropriately scaled test norms. As model cases we study the Poisson problem and the Kirchhoff-Love plate bending model, and also include fully discrete variants where optimal test functions are approximated. Numerical experiments for both model problems, including an-isotropic domains and mixed boundary conditions, confirm our findings.
dc.description.funderANID through FONDECYT
dc.fechaingreso.objetodigital2023-07-17
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.camwa.2021.04.021
dc.identifier.eissn1873-7668
dc.identifier.issn0898-1221
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2021.04.021
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/74195
dc.identifier.wosidWOS:000653031000002
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.language.isoen
dc.nota.accesoContenido parcial
dc.pagina.final27
dc.pagina.inicio15
dc.revistaComputers & Mathematics with Applications
dc.rightsacceso restringido
dc.subjectDiscontinuous Petrov-Galerkin method
dc.subjectOptimal test functions
dc.subjectLocking phenomena
dc.subjectPlate bending
dc.subjectUltraweak formulation
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleA robust DPG method for large domains
dc.typeartículo
dc.volumen94
sipa.codpersvinculados250324
sipa.codpersvinculados1006459
sipa.indexWOS
sipa.trazabilidadWOS;18-03-2022
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