full
search.png

Search

close.png

Cancel

arrow
Volume 4, Issue 2
Piecewise Constant Level Set Method for Multiphase Motion

H. Li & X.-C. Tai

Int. J. Numer. Anal. Mod., 4 (2007), pp. 291-305.

Published online: 2007-04

Preview Purchase PDF 1608 20804

Cited by

google scholar semantic scholar
Export citation
  • Abstract

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.

  • Keywords

multiphase motion, level set method, piecewise constant, operator splitting.

  • AMS Subject Headings

49Q05, 65K10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{IJNAM-4-291, author = {H. Li and X.-C. Tai}, title = {Piecewise Constant Level Set Method for Multiphase Motion}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2007}, volume = {4}, number = {2}, pages = {291--305}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/863.html} }
TY - JOUR T1 - Piecewise Constant Level Set Method for Multiphase Motion AU - H. Li & X.-C. Tai 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 -

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.

H. Li and X.-C. Tai. (2007). Piecewise Constant Level Set Method for Multiphase Motion. International Journal of Numerical Analysis and Modeling. 4 (2). 291-305. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard