Name
Title | ||
|---|---|---|
Superconvergent local quasi-interpolants based on special multivariate quadratic spline space over a refined quadrangulation. |
Abstract | ||
|---|---|---|
In this paper, we first recall some results concerning the construction and the properties of quadratic B-splines over a refinement Δ of a quadrangulation ◊ of a planar domain introduced recently by Lamnii et al. Then we introduce the B-spline representation of Hermite interpolant, in the special space S21,0(Δ), of any polynomial or any piecewise polynomial over refined quadrangulation Δ of ◊. After that, we use this B-representation for constructing several superconvergent discrete quasi-interpolants. The new results that we present in this paper are an improvement and a generalization of those developed in the above cited paper. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.amc.2014.10.090 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Polar forms,Quasi-interpolation,Splines,Powell–Sabin partitions | Spline (mathematics),Mathematical optimization,Polynomial,Mathematical analysis,Interpolation,Quadratic equation,Superconvergence,Hermite polynomials,Planar,Mathematics,Piecewise | Journal |
Volume | ISSN | Citations |
250 | 0096-3003 | 1 |
PageRank | References | Authors |
0.36 | 15 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Driss Sbibih | 1 | 52 | 12.89 |
| A. Serghini | 2 | 13 | 3.53 |
| Ahmed Tijini | 3 | 20 | 5.11 |