32 citations · 91 across the 6 of their papers we have counts for
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math.NA2020★ 27 cited
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver
Alexander Haberl, Dirk Praetorius, Stefan Schimanko +1
We consider a second-order elliptic boundary value problem with strongly monotone and Lipschitz-continuous nonlinearity. We design and study its adaptive numerical approximation in…
math.NA2020★ 32 cited
Rate optimality of adaptive finite element methods with respect to the overall computational costs
Gregor Gantner, Alexander Haberl, Dirk Praetorius +1
We consider adaptive finite element methods for second-order elliptic PDEs, where the arising discrete systems are not solved exactly. For contractive iterative solvers, we formula…