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Adaptive Semi-Structured Mesh Refinement Techniques for the Finite Element Method

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dc.affiliation.dptoUC3M. Departamento de Teoría de la Señal y Comunicacioneses
dc.contributor.authorAmor Martín, Adrián
dc.contributor.authorGarcía Castillo, Luis Emilio
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es
dc.date.accessioned2022-06-02T08:05:05Z
dc.date.available2022-06-02T08:05:05Z
dc.date.issued2021-04-02
dc.description.abstractThe adaptive mesh techniques applied to the Finite Element Method have continuously been an active research line. However, these techniques are usually applied to tetrahedra. Here, we use the triangular prismatic element as the discretization shape for a Finite Element Method code with adaptivity. The adaptive process consists of three steps: error estimation, marking, and refinement. We adapt techniques already applied for other shapes to the triangular prisms, showing the differences here in detail. We use five different marking strategies, comparing the results obtained with different parameters. We adapt these strategies to a conformation process necessary to avoid hanging nodes in the resulting mesh. We have also applied two special rules to ensure the quality of the refined mesh. We show the effect of these rules with the Method of Manufactured Solutions and numerical results to validate the implementation introduced.en
dc.description.sponsorshipThis work has been financially supported by TEC2016-80386-Pen
dc.format.extent19
dc.identifier.bibliographicCitationAmor-Martin, A., & Garcia-Castillo, L. E. (2021). Adaptive Semi-Structured Mesh Refinement Techniques for the Finite Element Method. Applied Sciences, 11(8), 3683.en
dc.identifier.doihttps://doi.org/10.3390/app11083683
dc.identifier.issn2076-3417
dc.identifier.publicationfirstpage3683
dc.identifier.publicationissue8
dc.identifier.publicationlastpage3702
dc.identifier.publicationtitleApplied Sciences (Switzerland)en
dc.identifier.publicationvolume11
dc.identifier.urihttps://hdl.handle.net/10016/34975
dc.identifier.uxxiAR/0000029447
dc.language.isoeng
dc.publisherMDPIen
dc.relation.projectIDGobierno de España. TEC2016-80386-P
dc.rights© 2021 by the authors.en
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/
dc.subject.ecienciaTelecomunicacioneses
dc.subject.otherFinite element methoden
dc.subject.otherAdaptivityen
dc.subject.otherPeriodic boundary conditionsen
dc.subject.otherComputationalen
dc.subject.otherElectromagneticsen
dc.titleAdaptive Semi-Structured Mesh Refinement Techniques for the Finite Element Methoden
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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