@misc{10481/50935,
year = {2017},
month = {5},
url = {http://hdl.handle.net/10481/50935},
abstract = {This article deals with a numerical approximation method using an evolutionary partial differential equation
(PDE) by discrete variational splines in a finite element space. To formulate the problem, we need an evolutionary
PDE equation with respect to the time and the position, certain boundary conditions and a set of
approximating points. We show the existence and uniqueness of the solution and we study a computational
method to compute such a solution. Moreover, we established a convergence result with respect to the time
and the position. We provided several numerical and graphic examples of approximation in order to show
the validity and effectiveness of the presented method.},
publisher = {Wiley Online Library},
keywords = {Approximation},
keywords = {Finite elements},
keywords = {Interpolation},
keywords = {PDE},
keywords = {Splines},
keywords = {Surfaces},
title = {Numerical Approximation using Evolution PDE Variational Splines},
doi = {DOI 10.1002/num.22168},
author = {Kouibia Krichi, Abdelouahed and Pasadas Fernández, Miguel and Belhaj, Zakaria},
}