Corpus ID: 119304525

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

  title={Keeping it together: a phase field version of path-connectedness and its implementation},
  author={P. Dondl and Stephan Wojtowytsch},
  journal={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

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