Trivariate local lagrange interpolation and macro elements of arbitrary smoothness
Michael A. Matt constructs two trivariate local Lagrange interpolation methods which yield optimal approximation order and Cr macro-elements based on the Alfeld and the Worsey-Farin split of a tetrahedral partition. The first interpolation method is based on cubic C1 splines over type-4 cube partiti...
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| Materialtyp: | Livre numérique |
| Språk: | Anglais |
| Publicerad: |
Wiesbaden :
Vieweg+Teubner Verlag
[20..].
Cham : Springer Nature |
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| Länkar: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Trivariate local lagrange interpolation and macro elements of arbitrary smoothness, Texte imprimé, 978-3-8348-2383-0 |
| LEADER | 03326nam a22003377a 4500 | ||
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| 008 | 130325q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN168331802 | ||
| 020 | |a 9783834823847 | ||
| 041 | 0 | |a eng | |
| 082 | |a 519 | ||
| 100 | 1 | |a Matt, Michael A., |d 19..- | |
| 245 | 1 | 0 | |a Trivariate local lagrange interpolation and macro elements of arbitrary smoothness |c by Michael A. Matt. |
| 260 | |a Wiesbaden : |b Vieweg+Teubner Verlag. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Lagrange Interpolation on Type-4 Partitions Trivariate Lagrange Interpolation with C Splines Cr Macro-Element over the Clough-Tocher Split Cr Macro-Element over the Alfeld Split Cr Macro-Element over the Worsey Farin Split | |
| 505 | 0 | |a Lagrange Interpolation on Type-4 Partitions -- Trivariate Lagrange Interpolation with C Splines -- Cr Macro-Element over the Clough-Tocher Split -- Cr Macro-Element over the Alfeld Split -- Cr Macro-Element over the Worsey Farin Split | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Michael A. Matt constructs two trivariate local Lagrange interpolation methods which yield optimal approximation order and Cr macro-elements based on the Alfeld and the Worsey-Farin split of a tetrahedral partition. The first interpolation method is based on cubic C1 splines over type-4 cube partitions, for which numerical tests are given. The second is the first trivariate Lagrange interpolation method using C2 splines. It is based on arbitrary tetrahedral partitions using splines of degree nine. The author constructs trivariate macro-elements based on the Alfeld split, where each tetrahedron is divided into four subtetrahedra, and the Worsey-Farin split, where each tetrahedron is divided into twelve subtetrahedra, of a tetrahedral partition. In order to obtain the macro-elements based on the Worsey-Farin split minimal determining sets for Cr macro-elements are constructed over the Clough-Tocher split of a triangle, which are more variable than those in the literature | ||
| 650 | |a Fonctions de lissage | ||
| 650 | |a Méthode des éléments naturels | ||
| 776 | 0 | |t Trivariate local lagrange interpolation and macro elements of arbitrary smoothness |b Texte imprimé |z 978-3-8348-2383-0 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-8348-2384-7 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-4LTB6D19-L |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:749146745 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-3-8348-2384-7 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:752156179 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-3-8348-2384-7 |z Accès INSA CVL | |
| 997 | |0 958429 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||