Construction of global surfaces by variational evolutionary PDE splines

• Autores: A. Kouibia, Miguel Pasadas Fernández , Z. Belhaj, K. Najib
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 243, Nº 1, 2013, págs. 80-90
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.11.009
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• Resumen

  • This paper deals with the construction and characterization of discrete variational PDE splines. To formulate the problem,weneed 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.