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Can I read A counterexample to a theorem about the convexity of Powell-Sabin elements on EtoBox?

A counterexample to a theorem about the convexity of Powell-Sabin elements by Michael S. Floater is a Engineering article available to read on EtoBox.

What is A counterexample to a theorem about the convexity of Powell-Sabin elements about?

We show that Theorem 4.1 of Carnicer and Dahmen (1992) is false. Let ~ be the triangle in R 2 with vertices Xl = (-2A, 0), x2 = (2,-2), x3 = (2, 2) for someA>0. Letfl =2A, f2=f3=2, andgl = (-1, 0), g2 = (0, -1), g3 = (0,1). Then the piecewise linear convex function F : ~2 \_\_+ ~,

Who reads A counterexample to a theorem about the convexity of Powell-Sabin elements?

It is typically read by researchers, students, and practitioners in Engineering.

Author
Michael S. Floater
Publisher
Elsevier Science; Elsevier ; Elsevier BV (ISSN 0167-8396)
Published
1997
Language
EN
Field
Engineering (Physical Sciences)

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