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physics.comp-ph2019★ 20 cited
An efficient numerical framework for the amplitude expansion of the phase-field crystal model
Simon Praetorius, Marco Salvalaglio, Axel Voigt
The study of polycrystalline materials requires theoretical and computational techniques enabling multiscale investigations. The amplitude expansion of the phase field crystal mode…
physics.comp-ph2015★ 23 cited
Development and Analysis of a Block-Preconditioner for the Phase-Field Crystal Equation
Simon Praetorius, Axel Voigt
We develop a preconditioner for the linear system arising from a finite element discretization of the Phase Field Crystal (PFC) equation. The PFC model serves as an atomic descript…