Analysis of Backward Euler Primal DPG Methods

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dc.catalogadorgjm
dc.contributor.authorFührer, Thomas
dc.contributor.authorHeuer, Norbert
dc.contributor.authorKarkulik, Michael
dc.date.accessioned2023-07-17T20:30:20Z
dc.date.available2023-07-17T20:30:20Z
dc.date.issued2021
dc.description.abstractWe analyze backward Euler time stepping schemes for a primal DPG formulation of a class of parabolic problems. Optimal error estimates are shown in a natural norm and in the L-2 norm of the field variable. For the heat equation the solution of our primal DPG formulation equals the solution of a standard Galerkin scheme and, thus, optimal error bounds are found in the literature. In the presence of advection and reaction terms, however, the latter identity is not valid anymore and the analysis of optimal error bounds requires to resort to elliptic projection operators. It is essential that these operators be projections with respect to the spatial part of the PDE, as in standard Galerkin schemes, and not with respect to the full PDE at a time step, as done previously.
dc.description.funderANID through FONDECYT
dc.fechaingreso.objetodigital2023-07-17
dc.format.extent16 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1515/cmam-2021-0056
dc.identifier.eissn1609-9389
dc.identifier.issn1609-4840
dc.identifier.urihttps://doi.org/10.1515/cmam-2021-0056
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/74193
dc.identifier.wosidWOS:000733331000004
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.numero4
dc.language.isoen
dc.nota.accesoContenido completo
dc.pagina.final826
dc.pagina.inicio811
dc.revistaComputational Methods in Applied Mathematics
dc.rightsacceso abierto
dc.subjectPrimal DPG
dc.subjectTime-Stepping
dc.subjectHeat Equation
dc.subjectParabolic Problems
dc.subjectA Priori Analysis
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleAnalysis of Backward Euler Primal DPG Methods
dc.typeartículo
dc.volumen21
sipa.codpersvinculados250324
sipa.codpersvinculados1006459
sipa.indexWOS
sipa.trazabilidadWOS;18-03-2022
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