13 citations · 13 across the 2 of their papers we have counts for
8 papers
Spin-diffusion model for micromagnetics in the limit of long times
Giovanni Di Fratta, Ansgar Jüngel, Dirk Praetorius +1
In this paper, we consider spin-diffusion Landau-Lifshitz-Gilbert equations (SDLLG), which consist of the time-dependent Landau-Lifshitz-Gilbert (LLG) equation coupled with a time-…
A short note on plain convergence of adaptive least-squares finite element methods
Thomas Führer, Dirk Praetorius
We show that adaptive least-squares finite element methods driven by the canonical least-squares functional converge under weak conditions on PDE operator, mesh-refinement, and mar…
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.…
Adaptive IGAFEM with optimal convergence rates: T-splines
Gregor Gantner, Dirk Praetorius
We consider an adaptive algorithm for finite element methods for the isogeometric analysis (IGAFEM) of elliptic (possibly non-symmetric) second-order partial differential equations…
The saturation assumption yields optimal convergence of two-level adaptive BEM
Dirk Praetorius, Michele Ruggeri, Ernst P. Stephan
We consider the convergence of adaptive BEM for weakly-singular and hypersingular integral equations associated with the Laplacian and the Helmholtz operator in 2D and 3D. The loca…
Dörfler marking with minimal cardinality is a linear complexity problem
Carl-Martin Pfeiler, Dirk Praetorius
Most adaptive finite element strategies employ the Dörfler marking strategy to single out certain elements of a triangulation for…