4 citations · 7 across the 8 of their papers we have counts for
3 papers · 1 filter
Quasi-optimal convergence rate of an AFEM for quasi-linear problems
Eduardo M. Garau, Pedro Morin, Carlos Zuppa
We prove the quasi-optimal convergence of a standard adaptive finite element method (AFEM) for nonlinear elliptic second-order equations of monotone type. The adaptive algorithm is…
Convergence of an adaptive Kačanov FEM for quasi-linear problems
Eduardo M. Garau, Pedro Morin, Carlos Zuppa
We design an adaptive finite element method to approximate the solutions of quasi-linear elliptic problems. The algorithm is based on a Kačanov iteration and a mesh adaptation step…
On convex regression estimators
Néstor E. Aguilera, Liliana Forzani, Pedro Morin
A new nonparametric estimator of a convex regression function in any dimension is proposed and its convergence properties are studied. We start by using any estimator of the regres…