Construction of global surfaces by variational evolutionary PDE splines

Autor:	A. Kouibia, K. Najib, Miguel Pasadas, Z. Belhaj
Rok vydání:	2013
Předmět:	Computational Mathematics PDE surface Spline (mathematics) Applied Mathematics Mathematical analysis Uniqueness Boundary value problem Mathematics::Numerical Analysis Mathematics
Zdroj:	Journal of Computational and Applied Mathematics. 243:80-90
ISSN:	0377-0427
DOI:	10.1016/j.cam.2012.11.009
Popis:	This paper deals with the construction and characterization of discrete variational PDE splines. To formulate the problem, we need an evolutionary PDE equation, certain boundary conditions and a set of points to approximate. We show the existence and the uniqueness of the solution of such a problem and we establish a convergence result of a discrete variational evolutionary PDE spline to a given function. We present several numerical and graphical examples of construction and approximation of surfaces in order to prove the validity of the presented method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::eb1442bb478b124b5a0ad103cdf8a46d https://doi.org/10.1016/j.cam.2012.11.009 Zobrazit plný text záznamu Full Text from ScienceDirect