19 citations · 116 across the 13 of their papers we have counts for
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math.AP2019★ 19 cited
Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics
Giovanni Di Fratta, Michael Innerberger, Dirk Praetorius
We consider the time-dependent Landau-Lifshitz-Gilbert equation. We prove that each weak solution coincides with the (unique) strong solution, as long as the latter exists in time.…
math.NA2019★ 6 cited
Instance-optimal goal-oriented adaptivity
Michael Innerberger, Dirk Praetorius
We consider an adaptive finite element method with arbitrary but fixed polynomial degree , where adaptivity is driven by an edge-based residual error estimator. Based on t…