Corpus ID: 119304525

# Keeping it together: a phase field version of path-connectedness and its implementation

@article{Dondl2018KeepingIT,
title={Keeping it together: a phase field version of path-connectedness and its implementation},
author={P. Dondl and Stephan Wojtowytsch},
journal={arXiv: Numerical Analysis},
year={2018}
}
• Published 2018
• Mathematics
• arXiv: Numerical Analysis
We describe the implementation of a topological constraint in finite element simulations of phase field models which ensures path-connectedness of preimages of intervals in the phase field variable. Two main applications of our method are presented. First, a discrete steepest decent of a phase field version of a bending energy with spontaneous curvature and additional surface area penalty is shown, which leads to disconnected surfaces without our topological constraint but connected surfaces… Expand
3 Citations

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