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On the Convexity Preservation of a Quasi C 3 Nonlinear Interpolatory Reconstruction Operator on σ Quasi-Uniform Grids.
- Source :
-
Mathematics (2227-7390) . Feb2021, Vol. 9 Issue 4, p310. 1p. - Publication Year :
- 2021
-
Abstract
- This paper is devoted to introducing a nonlinear reconstruction operator, the piecewise polynomial harmonic (PPH), on nonuniform grids. We define this operator and we study its main properties, such as its reproduction of second-degree polynomials, approximation order, and conditions for convexity preservation. In particular, for σ quasi-uniform grids with σ ≤ 4 , we get a quasi C 3 reconstruction that maintains the convexity properties of the initial data. We give some numerical experiments regarding the approximation order and the convexity preservation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONLINEAR operators
*POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 9
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 149095420
- Full Text :
- https://doi.org/10.3390/math9040310