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- W2115416743 abstract "There is a need for finite elements of degree two or more to solve various PDE problems. This paper discusses a method to construct such meshes in the case of tetrahedral element of degree two. The first section of this paper returns to Bézier curves, Bézier triangles and then Bézier tetrahedra of degree two. The way in which a Bézier tetrahedron and a P2 finite element tetrahedron are related is introduced. A validity condition is then exhibited. Extension to arbitrary degree and dimension is given. A construction method is then proposed and demonstrated by means of various concrete application examples. Copyright © 2012 John Wiley & Sons, Ltd." @default.
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- W2115416743 date "2012-04-17" @default.
- W2115416743 modified "2023-09-25" @default.
- W2115416743 title "Construction of tetrahedral meshes of degree two" @default.
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- W2115416743 doi "https://doi.org/10.1002/nme.3364" @default.
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