Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness
| Author/creator | Matt, Michael Andreas Author |
| Format | Electronic |
| Publication Info | Wiesbaden : Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH Secaucus : Springer [Distributor] |
| Description | xvi, 370 p. ill 21.000 x 014.800 cm. |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2012 English International |
| Supplemental Content | Full text available from Springer Books |
| Subjects |
| Summary | Annotation In this work, we construct 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 other one is the first trivariate Lagrange interpolation method using C2 splines. It is based on arbitrary tetrahedral partitions using splines of degree nine. We construct trivariate macro-elements based on the Alfeld, where each tetrahedron is divided into four subtetrahedra, and the Worsey-Farin split, where each tetrahedron is divided into twelve subtetrahedra, of a tetra-hedral partition. In order to obtain the macro-elements based on the Worsey-Farin split we construct minimal determining sets for Cr macro-elements over the Clough-Tocher split of a triangle, which are more variable than those in the literature. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| ISBN | 9783834823830 |
| ISBN | 383482383X (Trade Paper) Active Record |
| Standard identifier# | 9783834823830 |
| Stock number | 383482383X 00713190 |