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dc.contributor.authorChan, Jesse
Warburton, T.
dc.date.accessioned 2017-06-05T19:27:05Z
dc.date.available 2017-06-05T19:27:05Z
dc.date.issued 2015
dc.identifier.citation Chan, Jesse and Warburton, T.. "A Comparison of High Order Interpolation Nodes for the Pyramid." SIAM Journal on Scientific Computing, 37, no. 5 (2015) Society for Industrial and Applied Mathematics: A2151-A2170. http://dx.doi.org/10.1137/141000105.
dc.identifier.urihttps://hdl.handle.net/1911/94789
dc.description.abstract The use of pyramid elements is crucial to the construction of efficient hex-dominant meshes [M. Bergot, G. Cohen, and M. Duruflé, J. Sci. Comput., 42 (2010), pp. 345--381]. For conforming nodal finite element methods with mixed element types, it is advantageous for nodal distributions on the faces of the pyramid to match those on the faces and edges of hexahedra and tetrahedra. We adapt existing procedures for constructing optimized tetrahedral nodal sets for high order interpolation to the pyramid with constrained face nodes, including two generalizations of the explicit warp and blend construction of nodes on the tetrahedron [T. Warburton, J. Engrg. Math., 56 (2006), pp. 247--262]. Comparisons between nodal sets show that the lowest Lebesgue constants are given by warp and blend nodes for order $N\leq 7$ and Fekete nodes for $N>7$, though numerical experiments show little variation in the conditioning and accuracy of all surveyed nonequidistant points.
dc.language.iso eng
dc.publisher Society for Industrial and Applied Mathematics
dc.rights Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.title A Comparison of High Order Interpolation Nodes for the Pyramid
dc.type Journal article
dc.citation.journalTitle SIAM Journal on Scientific Computing
dc.citation.volumeNumber 37
dc.citation.issueNumber 5
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1137/141000105
dc.type.publication publisher version
dc.citation.firstpage A2151
dc.citation.lastpage A2170


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