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2018 | OriginalPaper | Buchkapitel

3. Interpolation on Unstructured Tetrahedral Grids

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Abstract

Analytical expressions for polynomial interpolations of high-orders are discussed in the chapter. Also in this Chapter several approaches for hybrid interpolation are discussed. Using algorithms for the piecewise linear interpolation one can obtain the hierarchical nested unstructured tetrahedral grids. The recurrent formulae for recalculation of the local reference points’ indices to the global reference points’ indices are discussed in the chapter as well. An example of hybridization called hybrid parabolic—linear interpolation is considered. Another example of hybridization based on a limiter is considered as well. An example of approach based on both hierarchical nested unstructured grids and hybridization called parabolic interpolation on the reference points for interpolation of fourth order is offered in the chapter.

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Metadaten
Titel
Interpolation on Unstructured Tetrahedral Grids
verfasst von
Alena V. Favorskaya
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-76201-2_3