Helmholtz decomposition of vector fields with mixed boundary conditions and an application to a posteriori finite element error analysis of the Maxwell system
Résumé
This paper is devoted to the derivation of a Helmholtz decomposition of vector fields in the case of mixed boundary conditions imposed on the boundary of the domain. This particular decomposition allows to obtain a residual a posteriori error estimator for the approximation of magnetostatic problems given in the so-called A formulation, for which the reliability can be established. Numerical tests confirm the obtained theoretical predictions.
Domaines
Analyse numérique [math.NA]| Origine | Fichiers produits par l'(les) auteur(s) |
|---|
Loading...