Numerical Approximation using Evolution PDE Variational Splines Kouibia Krichi, Abdelouahed Pasadas Fernández, Miguel Belhaj, Zakaria Approximation Finite elements Interpolation PDE Splines Surfaces 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. 2018-05-15T14:12:25Z 2018-05-15T14:12:25Z 2017-05-29 info:eu-repo/semantics/article Kouibia Krichi, Abdelouahed; Pasadas Fernández, Miguel; Belhaj, Zakaria. Numerical Approximation using Evolution PDE Variational Splines. Numerical Methods for Partial Differential Equations, 34: 5–18, 2018 [http://hdl.handle.net/10481/50935] 1098-2426 http://hdl.handle.net/10481/50935 DOI 10.1002/num.22168 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess Atribución-NoComercial-SinDerivadas 3.0 España Wiley Online Library