Multiple domain dynamics simulated with coupled level sets

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

Research output: Contribution to journalArticle

Abstract

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
Volume16
Issue number8
DOIs
StatePublished - 2003

Fingerprint

Level Set
Epitaxial Growth
Level Set Method
Physical property
Epitaxial growth
Thin Films
Physical properties
Thin films

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Ratsch, C., Anderson, C., Caflisch, R., Feigenbaum, L., Shaevitz, D., Sheffler, M., & Tiee, C. (2003). Multiple domain dynamics simulated with coupled level sets. Applied Mathematics Letters, 16(8), 1165-1170. https://doi.org/10.1016/S0893-9659(03)90112-1

Multiple domain dynamics simulated with coupled level sets. / Ratsch, C.; Anderson, C.; Caflisch, Russel; Feigenbaum, L.; Shaevitz, D.; Sheffler, M.; Tiee, C.

In: Applied Mathematics Letters, Vol. 16, No. 8, 2003, p. 1165-1170.

Research output: Contribution to journalArticle

Ratsch, C, Anderson, C, Caflisch, R, Feigenbaum, L, Shaevitz, D, Sheffler, M & Tiee, C 2003, 'Multiple domain dynamics simulated with coupled level sets', Applied Mathematics Letters, vol. 16, no. 8, pp. 1165-1170. https://doi.org/10.1016/S0893-9659(03)90112-1
Ratsch C, Anderson C, Caflisch R, Feigenbaum L, Shaevitz D, Sheffler M et al. Multiple domain dynamics simulated with coupled level sets. Applied Mathematics Letters. 2003;16(8):1165-1170. https://doi.org/10.1016/S0893-9659(03)90112-1
Ratsch, C. ; Anderson, C. ; Caflisch, Russel ; Feigenbaum, L. ; Shaevitz, D. ; Sheffler, M. ; Tiee, C. / Multiple domain dynamics simulated with coupled level sets. In: Applied Mathematics Letters. 2003 ; Vol. 16, No. 8. pp. 1165-1170.
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