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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Wiesbaden :
Vieweg+Teubner Verlag : Imprint: Vieweg+Teubner Verlag,
2012.
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| Edición: | 1st ed. 2012. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-8348-2384-7 | ||
| 003 | DE-He213 | ||
| 005 | 20220113083725.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120509s2012 gw | s |||| 0|eng d | ||
| 020 | |a 9783834823847 |9 978-3-8348-2384-7 | ||
| 024 | 7 | |a 10.1007/978-3-8348-2384-7 |2 doi | |
| 050 | 4 | |a T57-57.97 | |
| 072 | 7 | |a PBW |2 bicssc | |
| 072 | 7 | |a MAT003000 |2 bisacsh | |
| 072 | 7 | |a PBW |2 thema | |
| 082 | 0 | 4 | |a 519 |2 23 |
| 100 | 1 | |a Matt, Michael Andreas. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness |h [electronic resource] / |c by Michael Andreas Matt. |
| 250 | |a 1st ed. 2012. | ||
| 264 | 1 | |a Wiesbaden : |b Vieweg+Teubner Verlag : |b Imprint: Vieweg+Teubner Verlag, |c 2012. | |
| 300 | |a XVI, 370 p. 87 illus., 2 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a Lagrange Interpolation on Type-4 Partitions -- Trivariate Lagrange Interpolation with C² Splines -- Cr Macro-Element over the Clough-Tocher Split -- Cr Macro-Element over the Alfeld Split -- Cr Macro-Element over the Worsey Farin Split. | |
| 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 | 0 | |a Mathematics. | |
| 650 | 1 | 4 | |a Applications of Mathematics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783834823854 |
| 776 | 0 | 8 | |i Printed edition: |z 9783834823830 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-8348-2384-7 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||