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Meshless Polyharmonic Div-Curl Reconstruction

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
M. N. Benbourhim  and
A. Bouhamidi
M. N. Benbourhim
Affiliation:
Institute of Mathematics of Toulouse, University of Paul Sabatier, 118, route de Narbonne, F-31062 Toulouse Cedex 9, France
A. Bouhamidi*
Affiliation:
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
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Abstract

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

Keywords

approximation theorymeshless approximation methodsradial basis functions
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9th International Conference on Numerical Analysis and Optimization , 2010 , pp. 55 - 59
Copyright
© EDP Sciences, 2010

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References

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