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- W2759433057 abstract "Abstract Phase field models have recently been used to investigate the physical behavior of droplets in static as well as dynamic situations. As those models are often driven by an Allen-Cahn evolution equation, their stationary solution is given by the first order optimality condition of an energy functional. This includes the possibility of computing saddle points and maxima rather than minima of the energy functional. The present work shows the post-processing of eigenvalues and eigenvectors of the system matrix of the phase field model in order to investigate the stability of equilibrium droplet configurations. This post-processing can easily be ported to other evolution equations. The underlying phase field model is described and the resulting discrete finite element eigenvalue problem is stated. The investigation of eigenvalues and eigenvectors is illustrated by examples." @default.
- W2759433057 created "2017-10-06" @default.
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- W2759433057 date "2018-01-01" @default.
- W2759433057 modified "2023-10-10" @default.
- W2759433057 title "Investigating the stability of the phase field solution of equilibrium droplet configurations by eigenvalues and eigenvectors" @default.
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- W2759433057 doi "https://doi.org/10.1016/j.commatsci.2017.08.029" @default.
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