| Issue |
Math. Model. Nat. Phenom.
Volume 5, Number 7, 2010
JANO9 – The 9th International Conference on Numerical Analysis and Optimization
|
|
|---|---|---|
| Page(s) | 55 - 59 | |
| DOI | https://doi.org/10.1051/mmnp/20105709 | |
| Published online | 26 August 2010 | |
Meshless Polyharmonic Div-Curl Reconstruction
1
Institute of Mathematics of Toulouse, University of Paul
Sabatier, 118, route de
Narbonne, F-31062
Toulouse Cedex 9,
France
2
University of Lille Nord de France, ULCO, L.M.P.A,
50, rue F. Buisson,
BP 699, F-62228
Calais Cedex,
France
* Corresponding author: E-mail:
a.bouhamidi@lmpa.univ-littoral.fr
In this paper, we will discuss the meshless polyharmonic reconstruction of vector fields from scattered data, possibly, contaminated by noise. We give an explicit solution of the problem. After some theoretical framework, we discuss some numerical aspect arising in the problems related to the reconstruction of vector fields
Mathematics Subject Classification: 41A15 / 41A29 / 41A65 / 65D05
Key words: approximation theory / meshless approximation methods / radial basis functions
© EDP Sciences, 2010
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