TY - JOUR
T1 - Piecewise Constant Level Set Method for Multiphase Motion
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 291
EP - 305
PY - 2007
DA - 2007/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/863.html
KW - multiphase motion, level set method, piecewise constant, operator splitting.
AB - <p style="text-align: justify;">We apply the Piecewise Constant Level Set Method (PCLSM) to
a multiphase motion problem, especially the pure mean curvature motion.
We use one level set function to represent multiple regions, and by
associating an energy functional which consists of surface tension
(proportional to length), we formulate a variational approach for the
mean curvature motion problem. Some operator-splitting schemes are used
to solve the problem efficiently. Numerical experiments are supplied to
show the efficiency for motion by mean curvature for multiphase problems.</p>