Anisotropic adaptive methods based on a metric related to the Hessian of the solution are
considered. We propose a metric targeted to the minimization of interpolation error
gradient for a nonconforming linear finite element approximation of a given piecewise
regular function on a polyhedral domain Ω of
ℝd, d ≥ 2. We also
present an algorithm generating a sequence of asymptotically quasi-optimal meshes relative
to such a nonconforming discretization and give numerical asymptotic behavior of the error
reduction produced by the generated mesh