| Title: | Three-pencil lattice on triangulations |
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| Authors: | ID Jaklič, Gašper (Author)
ID Kozak, Jernej (Author)
ID Knez, Marjetka (Author)
ID Vitrih, Vito (Author)
ID Žagar, Emil (Author) |
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| Files: |  http://dx.doi.org/10.1007/s11075-007-9068-4
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.08 - Published Scientific Conference Contribution |
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| Organization: | IAM - Andrej Marušič Institute
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| Abstract: | In this paper, three-pencil lattices on triangulations are studied. The explicit representation of a lattice, based upon barycentric coordinates, enables us to construct lattice points in a simple and numerically stable way. Further, this representation carries over to triangulations in a natural way. The construction is based upon group action of S 3 on triangle vertices, and it is shown that the number of degrees of freedom is equal to the number of vertices of the triangulation. |
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| Keywords: | numerical analysis, lattice, barycentric coordinates, triangulations, interpolation |
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| Year of publishing: | 2007 |
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| Number of pages: | str. 49-60 |
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| Numbering: | Vol. 45, no. 1-4 |
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| PID: | 20.500.12556/RUP-7724  |
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| ISSN: | 1017-1398 |
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| UDC: | 519.65 |
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| DOI: | 10.1007/s11075-007-9068-4 |
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| COBISS.SI-ID: | 14426457 |
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| Publication date in RUP: | 03.04.2017 |
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| Views: | 2121 |
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| Downloads: | 84 |
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