Volume 9, Issue 2
Polynomial of Degree Four Interpolation on Triangles
DOI:

J. Comp. Math., 9 (1991), pp. 155-162

Published online: 1991-09

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• Abstract

A method for constructing the $C^1$ piecewise polynomial surface of degree four on triangles is presented in this paper. On every triangle, only nine interpolation conditions, which are function values and first partial derivatives at the vertices of the triangle, are needed for constructing the surface.

• Keywords

@Article{JCM-9-155, author = {}, title = {Polynomial of Degree Four Interpolation on Triangles}, journal = {Journal of Computational Mathematics}, year = {1991}, volume = {9}, number = {2}, pages = {155--162}, abstract = { A method for constructing the $C^1$ piecewise polynomial surface of degree four on triangles is presented in this paper. On every triangle, only nine interpolation conditions, which are function values and first partial derivatives at the vertices of the triangle, are needed for constructing the surface. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9388.html} }
TY - JOUR T1 - Polynomial of Degree Four Interpolation on Triangles JO - Journal of Computational Mathematics VL - 2 SP - 155 EP - 162 PY - 1991 DA - 1991/09 SN - 9 DO - http://dor.org/ UR - https://global-sci.org/intro/jcm/9388.html KW - AB - A method for constructing the $C^1$ piecewise polynomial surface of degree four on triangles is presented in this paper. On every triangle, only nine interpolation conditions, which are function values and first partial derivatives at the vertices of the triangle, are needed for constructing the surface.