Multiple domain dynamics simulated with coupled level sets

C. Ratsch, C. Anderson, R. E. Caflisch, L. Feigenbaum, D. Shaevitz, M. Sheffler, C. Tiee

Research output: Contribution to journalArticlepeer-review


We adapt the level-set method to simulate epitaxial growth of thin films on a surface that consists of different reconstruction domains. Both the island boundaries and the boundaries of the reconstruction domains are described by different level-set functions. A formalism of coupled level-set functions that describe entirely different physical properties is introduced, where the velocity of each level-set function is determined by the value of the other level-set functions.

Original languageEnglish (US)
Pages (from-to)1165-1170
Number of pages6
JournalApplied Mathematics Letters
Issue number8
StatePublished - Nov 2003


  • Epitaxial growth
  • Island dynamics
  • Level set
  • Surface reconstructions

ASJC Scopus subject areas

  • Applied Mathematics


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