In this work we explore possible improvements to the error indicator based on the numerical entropy production originally presented in [Puppo, SISC 2003] . In particular, we improve the resolution of local extrema, detecting them and reducing numerical diffusion on these points. This is essential in adaptive algorithms to prevent coarsening on extrema.
Adaptive grids and the entropy error indicator / Puppo, G.; Semplice, M.. - 2:(2010), pp. 617-624. (Intervento presentato al convegno Hyperbolic problems: theory, numerics and applications, HYP2010 tenutosi a Beijing).