We are interested in the mortar spectral element discretization of the Stokes problem in a two-dimensional polygonal domain. We propose a family of residual type error indicators and we prove estimates which allow us to compare them with the error. We explain how these indicators can be used for adaptivity, and we present some numerical experiments.
Aude Billard, Silvestro Micera, Iason Batzianoulis, Nili Eliana Krausz
Qian Wang, Jan Sickmann Hesthaven