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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★ 24 cited
Convergence of an implicit-explicit midpoint scheme for computational micromagnetics
Dirk Praetorius, Michele Ruggeri, Bernhard Stiftner
Based on lowest-order finite elements in space, we consider the numerical integration of the Landau-Lifschitz-Gilbert equation (LLG). The dynamics of LLG is driven by the so-called…