Codice 14/2015 Titolo Convergence and Optimality of hp-AFEM Data 2015-03-18 Autore/i Canuto, C.; Nochetto, R.H.; Stevenson R,; Verani, M. Link Download full text Abstract We design and analyze an adaptive hp-finite element method (hp-AFEM) in dimensions $n=1,2$. The algorithm consists of iterating two routines: HP-NEARBEST finds a near-best hp-approximation of the current discrete solution and data to a desired accuracy, and REDUCE improves the discrete solution to a finer but comparable accuracy. The former hinges on a recent algorithm by Binev for adaptive hp-approximation, and acts as a coarsening step. We prove convergence and instance optimality.