| 000 | 02539nam a22003975i 4500 | ||
|---|---|---|---|
| 001 | 978-3-8348-2384-7 | ||
| 003 | DE-He213 | ||
| 005 | 20140220083332.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120509s2012 gw | s |||| 0|eng d | ||
| 020 |
_a9783834823847 _9978-3-8348-2384-7 |
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| 024 | 7 |
_a10.1007/978-3-8348-2384-7 _2doi |
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| 050 | 4 | _aT57-57.97 | |
| 072 | 7 |
_aPBW _2bicssc |
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| 072 | 7 |
_aMAT003000 _2bisacsh |
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| 082 | 0 | 4 |
_a519 _223 |
| 100 | 1 |
_aMatt, Michael A. _eauthor. |
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| 245 | 1 | 0 |
_aTrivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness _h[electronic resource] / _cby Michael A. Matt. |
| 264 | 1 |
_aWiesbaden : _bVieweg+Teubner Verlag, _c2012. |
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| 300 |
_aXVI, 370p. 87 illus., 2 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 505 | 0 | _aLagrange 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 | _aMichael 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 | _aMathematics. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aApplications of Mathematics. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783834823830 |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-8348-2384-7 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c103968 _d103968 |
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