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Construction of superconvergent quasi-interpolants using new normalized [formula omitted] cubic B-splines.
- Source :
-
Mathematics & Computers in Simulation . Dec2020, Vol. 178, p603-624. 22p. - Publication Year :
- 2020
-
Abstract
- In this paper, we use the finite element method to construct a new normalized basis of a univariate C 2 cubic spline space endowed with a specific subdivision of a real interval. Based on the polar forms, we introduce a new representation of the Hermite interpolant of any C 2 piecewise polynomial defined over this subdivision and we construct several superconvergent discrete quasi-interpolants which have an optimal approximation order. This approach is simple and provides an interesting approximation. Numerical results are given to illustrate the theoretical ones. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE element method
*SUBDIVISION surfaces (Geometry)
*SPLINE theory
*SPLINES
Subjects
Details
- Language :
- English
- ISSN :
- 03784754
- Volume :
- 178
- Database :
- Academic Search Index
- Journal :
- Mathematics & Computers in Simulation
- Publication Type :
- Periodical
- Accession number :
- 145055807
- Full Text :
- https://doi.org/10.1016/j.matcom.2020.07.009