Name
Title | ||
|---|---|---|
Construction of superconvergent quasi-interpolants using new normalized C2 cubic B-splines |
Abstract | ||
|---|---|---|
In this paper, we use the finite element method to construct a new normalized basis of a univariate C2 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 C2 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. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.matcom.2020.07.009 | Mathematics and Computers in Simulation |
Keywords | DocType | Volume |
Hermite interpolation,Finite element,Splines,Quasi-interpolation,Polar form,Superconvergence | Journal | 178 |
ISSN | Citations | PageRank |
0378-4754 | 1 | 0.43 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Rahouti | 1 | 1 | 0.43 |
| A. Serghini | 2 | 13 | 3.53 |
| Ahmed Tijini | 3 | 20 | 5.11 |