Ultraweak formulation of linear PDEs in nondivergence form and DPG approximation

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dc.catalogadorgjm
dc.contributor.authorFührer, Thomas
dc.date.accessioned2023-07-18T13:47:09Z
dc.date.available2023-07-18T13:47:09Z
dc.date.issued2021
dc.description.abstractWe develop and analyze an ultraweak formulation of linear PDEs in nondivergence form where the coefficients satisfy the Cordes condition. Based on the ultraweak formulation we propose discontinuous Petrov-Galerkin (DPG) methods. We investigate Fortin operators for the fully discrete schemes and provide a posteriori estimators for the methods under consideration. Numerical experiments are presented in the case of uniform and adaptive mesh-refinement. (C) 2020 Elsevier Ltd. All rights reserved.
dc.description.funderFONDECYT, Chile project
dc.fechaingreso.objetodigital2023-07-18
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.camwa.2020.07.007
dc.identifier.eissn1873-7668
dc.identifier.issn0898-1221
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2020.07.007
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/74198
dc.identifier.wosidWOS:000661237400006
dc.information.autorucFacultad de Matemáticas; Führer, Thomas; 0000-0001-5034-6593; 250324
dc.language.isoen
dc.nota.accesoContenido parcial
dc.pagina.final84
dc.pagina.inicio67
dc.revistaComputers & Mathematics with Applications
dc.rightsacceso restringido
dc.subjectDPG method
dc.subjectUltraweak formulation
dc.subjectCordes coefficients
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleUltraweak formulation of linear PDEs in nondivergence form and DPG approximation
dc.typeartículo
dc.volumen95
sipa.codpersvinculados250324
sipa.indexWOS
sipa.trazabilidadWOS;18-03-2022
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