BOOK-CHAPTER
On the Convexity of Powell-Sabin Finite Elements
J. Lorente‐PardoPaul SablonnièreM.C. Serrano‐Pérez
Year: 2023 Advances in Computational Mathematics Pages: 395-404 Publisher: Springer Science+Business Media
Abstract
In this paper, the convexity of the piecewise quadratic Powell-Sabin finite element is studied. A geometric characterization of the convexity of the associated Bézier-nets is given. Finally, convex C 1surfaces based on Powell-Sabin elements are also characterized.
Keywords:
Convexity Geology Mathematics Mathematical economics Economics Financial economics
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Topics
Advanced Numerical Analysis Techniques
Physical Sciences → Engineering → Computational Mechanics
Robotic Mechanisms and Dynamics
Physical Sciences → Engineering → Control and Systems Engineering
Contact Mechanics and Variational Inequalities
Physical Sciences → Computer Science → Computational Theory and Mathematics
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