Nöther-type theorem of piecewise algebraic curves on triangulation |
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| Authors: | Chun-gang Zhu Ren-hong Wang |
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| Institution: | (1) Institute of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China |
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| Abstract: | The piecewise algebraic curve is a kind generalization of the classical algebraic curve. Nöther-type theorem of piecewise algebraic curves on the cross-cut partition is very important to construct the Lagrange interpolation sets for a bivariate spline space. In this paper, using the properties of bivariate splines, the Nöther-type theorem of piecewise algebraic curves on the arbitrary triangulation is presented. |
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| Keywords: | piecewise algebraic curves bivariate splines N?ther-type theorem triangulation |
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