50 citations · 247 across the 11 of their papers we have counts for
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math.NA2016★ 35 cited
Rate optimal adaptive FEM with inexact solver for nonlinear operators
Gregor Gantner, Alexander Haberl, Dirk Praetorius +1
We prove convergence with optimal algebraic rates for an adaptive finite element method for nonlinear equations with strongly monotone operator. Unlike prior works, our analysis al…
math.NA2016★ 50 cited
Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems
Alex Bespalov, Alexander Haberl, Dirk Praetorius
We prove that for compactly perturbed elliptic problems, where the corresponding bilinear form satisfies a Garding inequality, adaptive mesh-refinement is capable of overcoming the…