Approximation by discrete variational splines
Journal of Computational and Applied Mathematics
Irrotational or divergence-free interpolation
Numerische Mathematik
Error estimates for interpolating div--curl splines under tension on a bounded domain
Journal of Approximation Theory
Approximation by interpolating variational splines
Journal of Computational and Applied Mathematics
Pseudo-polyharmonic vectorial approximation for div-curl and elastic semi-norms
Numerische Mathematik
Approximation of vectors fields by thin plate splines with tension
Journal of Approximation Theory
Gradient field approximation: Application to registration in image processing
Journal of Computational and Applied Mathematics
Hi-index | 7.29 |
This paper deals with an approximation problem concerning vector fields through the new notion of div-rot variational splines. The minimizing problem is addressed in a finite element space through the choice of some semi-norms based on decomposition of the divergence operator and vector fields into a form with a rotational part. We study the existence and the uniqueness of the solution of such a problem. Then, a convergence result and an estimation of the error are established. Some numerical and graphical examples are analyzed in order to prove the validity of our method. Furthermore, we compare and show how our method improves upon one existing in the literature.