Size gradation control of anisotropic meshes

This paper gives a status on anisotropic mesh gradation. We present two 3D anisotropic formulations of mesh gradation. The metric at each point defines a well-graded smooth continuous metric field over the domain. The mesh gradation then consists in taking into account at each point the strongest size constraint given by all these continuous metric fields. This is achieved by a metric intersection procedure. We apply it to several examples involving highly anisotropic meshes.