We present a phase field approach to wetting problems, related to
the minimization of capillary energy. We discuss in detail both
the -convergence results on which our numerical algorithm
are based, and numerical implementation. Two possible choices of
boundary conditions, needed to recover Young's law for the contact
angle, are presented. We also consider an extension of the
classical theory of capillarity, in which the introduction of a
dissipation mechanism can explain and predict the hysteresis...
We present a numerical algorithm to solve the micromagnetic equations based on tangential-plane minimization for the magnetization update and a homothethic-layer decomposition of outer space for the computation of the demagnetization field. As a first application, detailed results on the flower-vortex transition in the cube of Micromagnetic Standard Problem number 3 are obtained, which confirm, with a different method, those already present in the literature, and validate our method and code. We...
We present a numerical algorithm to
solve the micromagnetic equations based on tangential-plane
minimization for the magnetization update and a homothethic-layer
decomposition of outer space for the computation of the demagnetization field.
As a first application, detailed results on the flower-vortex
transition in the cube of Micromagnetic Standard Problem number 3 are
obtained, which confirm, with a different method, those already
present in the literature, and validate our method and...
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