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On the convexity preservation of a quasi C3 nonlinear interpolatory reconstruction operator on σ quasi-uniform grids
dc.contributor.author | Ortiz Herranz, Pedro | |
dc.contributor.author | Trillo Moya, Juan Carlos | |
dc.date.accessioned | 2022-01-04T08:00:06Z | |
dc.date.available | 2022-01-04T08:00:06Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Ortiz, P.; Trillo, J.C. On the Convexity Preservation of a Quasi C3 Nonlinear Interpolatory Reconstruction Operator on σ Quasi-Uniform Grids. Mathematics 2021, 9, 310. https://doi.org/10.3390/math9040310 | es_ES |
dc.identifier.issn | 2227-7390 | |
dc.description.abstract | This paper is devoted to introducing a nonlinear reconstruction operator, the piecewise polynomial harmonic (PPH), on nonuniform grids. We define this operator and we study its main properties, such as its reproduction of second-degree polynomials, approximation order, and conditions for convexity preservation. In particular, for σ quasi-uniform grids with σ≤4, we get a quasi C3 reconstruction that maintains the convexity properties of the initial data. We give some numerical experiments regarding the approximation order and the convexity preservation. | es_ES |
dc.description.sponsorship | This research was funded by the FUNDACIÓN SÉNECA, AGENCIA DE CIENCIA Y TECNOLOGÍA DE LA REGIÓN DE MURCIA grant number 20928/PI/18, and by the Spanish national research project PID2019-108336GB-I00. | es_ES |
dc.format | application/pdf | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.relation.ispartof | Investigación de las propiedades de un operador de reconstrucción no lineal en mallados no uniformes | es_ES |
dc.relation.uri | http://hdl.handle.net/10317/10500 | es_ES |
dc.rights | Atribución-NoComercial-SinDerivadas 3.0 España | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.title | On the convexity preservation of a quasi C3 nonlinear interpolatory reconstruction operator on σ quasi-uniform grids | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.subject.other | Matemática Aplicada | es_ES |
dc.subject | Interpolation | es_ES |
dc.subject | Reconstruction | es_ES |
dc.subject | Nonlinearity | es_ES |
dc.subject | Nonuniform | es_ES |
dc.subject | σ quasi-uniform | es_ES |
dc.subject | Convexity | es_ES |
dc.subject | Class quasi C3 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10317/10575 | |
dc.identifier.doi | 10.3390/math9040310 | |
dc.identifier.url | https://www.mdpi.com/2227-7390/9/4/310 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.relation.projectID | 20928/PI/18 | es_ES |
dc.relation.projectID | PID2019-108336GB-I00 | es_ES |
dc.subject.unesco | 12 Matemáticas | es_ES |
dc.subject.unesco | 1206.07 Interpolación, Aproximación y Ajuste de Curvas | es_ES |
dc.contributor.funder | Fundación Séneca | es_ES |
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