DPG Methods for a Fourth-Order div Problem

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dc.catalogadorgjm
dc.contributor.authorFührer, Thomas
dc.contributor.authorHerrera Ortiz, Pablo Cesar
dc.contributor.authorHeuer, Norbert
dc.date.accessioned2023-07-17T19:40:19Z
dc.date.available2023-07-17T19:40:19Z
dc.date.issued2022
dc.description.abstractWe study a fourth-order div problem and its approximation by the discontinuous Petrov-Galerkin method with optimal test functions. We present two variants, based on first and second-order systems. In both cases, we prove well-posedness of the formulation and quasi-optimal convergence of the approximation. Our analysis includes the fully-discrete schemes with approximated test functions, for general dimension and polynomial degree in the first-order case, and for two dimensions and lowest-order approximation in the second-order case. Numerical results illustrate the performance for quasi-uniform and adaptively refined meshes.
dc.description.funderANID-Chile through FONDECYT
dc.fechaingreso.objetodigital2023-07-17
dc.fuente.origenWOS
dc.identifier.doi10.1515/cmam-2021-0246
dc.identifier.eissn1609-9389
dc.identifier.issn1609-4840
dc.identifier.urihttps://doi.org/10.1515/cmam-2021-0246
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/74190
dc.identifier.wosidWOS:000799129600001
dc.information.autorucFacultad de Matemáticas; Führer, Thomas; 0000-0001-5034-6593; 250324
dc.information.autorucFacultad de Matemáticas; Herrera Ortiz, Pablo Cesar; 0000-0002-2142-2961; 233098
dc.information.autorucFacultad de Matemáticas; Heuer, Norbert; 0000-0002-5171-1457; 1006459
dc.issue.numero3
dc.language.isoen
dc.nota.accesoContenido completo
dc.pagina.final562
dc.pagina.inicio545
dc.revistaComputational Methods in Applied Mathematics
dc.rightsacceso abierto
dc.subjectFourth-Order div Equation
dc.subjectFourth-Order Elliptic PDE
dc.subjectDiscontinuous Petrov-Galerkin Method
dc.subjectUltraweak Formulation
dc.subjectTrace Operators
dc.subjectOptimal Test Functions
dc.subjectFortin Operator
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleDPG Methods for a Fourth-Order div Problem
dc.typeartículo
dc.volumen22
sipa.codpersvinculados250324
sipa.codpersvinculados233098
sipa.codpersvinculados1006459
sipa.indexWOS
sipa.trazabilidadWOS;2022-07-08
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