Publication: Adaptive Semi-Structured Mesh Refinement Techniques for the Finite Element Method
dc.affiliation.dpto | UC3M. Departamento de Teoría de la Señal y Comunicaciones | es |
dc.contributor.author | Amor Martín, Adrián | |
dc.contributor.author | García Castillo, Luis Emilio | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (España) | es |
dc.date.accessioned | 2022-06-02T08:05:05Z | |
dc.date.available | 2022-06-02T08:05:05Z | |
dc.date.issued | 2021-04-02 | |
dc.description.abstract | The 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.sponsorship | This work has been financially supported by TEC2016-80386-P | en |
dc.format.extent | 19 | |
dc.identifier.bibliographicCitation | Amor-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.doi | https://doi.org/10.3390/app11083683 | |
dc.identifier.issn | 2076-3417 | |
dc.identifier.publicationfirstpage | 3683 | |
dc.identifier.publicationissue | 8 | |
dc.identifier.publicationlastpage | 3702 | |
dc.identifier.publicationtitle | Applied Sciences (Switzerland) | en |
dc.identifier.publicationvolume | 11 | |
dc.identifier.uri | https://hdl.handle.net/10016/34975 | |
dc.identifier.uxxi | AR/0000029447 | |
dc.language.iso | eng | |
dc.publisher | MDPI | en |
dc.relation.projectID | Gobierno de España. TEC2016-80386-P | |
dc.rights | © 2021 by the authors. | en |
dc.rights | Atribución 3.0 España | |
dc.rights.accessRights | open access | |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | |
dc.subject.eciencia | Telecomunicaciones | es |
dc.subject.other | Finite element method | en |
dc.subject.other | Adaptivity | en |
dc.subject.other | Periodic boundary conditions | en |
dc.subject.other | Computational | en |
dc.subject.other | Electromagnetics | en |
dc.title | Adaptive Semi-Structured Mesh Refinement Techniques for the Finite Element Method | en |
dc.type | research article | * |
dc.type.hasVersion | VoR | * |
dspace.entity.type | Publication |
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