Section: New Results

Hessian recovery techniques on isotropic and anisotropic meshes

Participants : M. Picasso, F. Alauzet [correspondant], H. Borouchaki and P.-L. George

Mesh adaptation required the use of second order derivatives, i.e., the Hessian. For second order numerical scheme, the provided numerical solution is only piecewise linear. Consequently, numerical methods are considered to recover second order derivatives, the famous recovery techniques. In this work, we have investigated several methods. Numerical results on 2D and 3D isotropic and anisotropic meshes indicate that the quality of the results is strongly linked to the mesh topology and that no convergence can be insured in general [22] .