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- W2964008403 abstract "We provide a constructive proof of a face-to-face simplicial partition of a d-dimensional space for arbitrary d by generalizing the idea of Sommerville, used to create space-filling tetrahedra out of a triangular base, to any dimension. Each step of construction that increases the dimension is determined up to a positive parameter, d-dimensional simplicial partition is, therefore, parameterized by d parameters. We show the shape optimal value of those parameters and reveal that the shape optimal partition of d-dimensional space is constructed over that of $$(d-1)$$ -dimensional space." @default.
- W2964008403 created "2019-07-30" @default.
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- W2964008403 date "2018-02-06" @default.
- W2964008403 modified "2023-09-27" @default.
- W2964008403 title "Construction and Shape Optimization of Simplicial Meshes in d-Dimensional Space" @default.
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- W2964008403 doi "https://doi.org/10.1007/s00454-017-9963-y" @default.
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