Resumen de Blending surfaces by smoothing PDE splines

Miguel Pasadas Fernández , Miguel Luis Rodríguez González

• This work is concerned with how we can mix conditions of both interpolation and approximation in order to find a blending surface joining two or more surfaces when approximating a given data point set, and modelled from a certain partial differential equation. We establish a variational characterization for the solution of this problem and we establish some convergence result. Finally, we discretize this problem in a finite element space.