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math.NA2010★ 1 cited
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…
math.NA2010
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…