A Kind of Cubic C1—Interpolations in the n-dimensional Finite Element Method

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Ren Hong Wang and Xi Quan Shi(Jinlin University)
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A Kind of Cubic C~1;
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As is well known that the multivariate spline function plays an important role in both theory and application. The paper [1]—[11] hove studied the multivariate spline functions and obtained a lot of results concerning this topic. Especially in [3], the existance theorem has been shown for the case of n-dim entional spline functions. A. Zeniek [10] and P. Alfeld [11] have established some of results about the tetrahedron partition. In this paper. we will show a kind of cubic C—interpolations for any n-simplicial partition in R. Of course, some of the subdivisions will be needed.
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页码:173 / 179
页数:7
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