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Lagrange interpolation on conics and cubics

✍ Scribed by J.M. Carnicer; M. Garcı́a-Esnaola

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
145 KB
Volume
19
Category
Article
ISSN
0167-8396

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✦ Synopsis

A bivariate polynomial interpolation problem for points lying on an algebraic curve is introduced. The geometric characterization introduced by Chung and Yao, which provides simple Lagrange formulae, is here analyzed for interpolation points lying on a line, a conic or a cubic.

📜 SIMILAR VOLUMES

Lagrange interpolation and finite elemen
Lagrange interpolation and finite element superconvergence
✍ Bo Li 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 199 KB

## Abstract We consider the finite element approximation of the Laplacian operator with the homogeneous Dirichlet boundary condition, and study the corresponding Lagrange interpolation in the context of finite element superconvergence. For __d__‐dimensional __Q__~__k__~‐type elements with __d__ ≥ 1