Multiple domain dynamics simulated with coupled level sets

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

doi:10.1016/S0893-9659(03)90112-1

Multiple domain dynamics simulated with coupled level sets

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

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	1165-1170
Number of pages	6
Journal	Applied Mathematics Letters
Volume	16
Issue number	8
DOIs	https://doi.org/10.1016/S0893-9659(03)90112-1
State	Published - Nov 2003

Keywords

Epitaxial growth
Island dynamics
Level set
Surface reconstructions

ASJC Scopus subject areas

Applied Mathematics

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10.1016/S0893-9659(03)90112-1

Cite this

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title = "Multiple domain dynamics simulated with coupled level sets",

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.",

keywords = "Epitaxial growth, Island dynamics, Level set, Surface reconstructions",

author = "C. Ratsch and C. Anderson and Caflisch, {R. E.} and L. Feigenbaum and D. Shaevitz and M. Sheffler and C. Tiee",

year = "2003",

month = nov,

doi = "10.1016/S0893-9659(03)90112-1",

language = "English (US)",

volume = "16",

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journal = "Applied Mathematics Letters",

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T1 - Multiple domain dynamics simulated with coupled level sets

AU - Ratsch, C.

AU - Anderson, C.

AU - Caflisch, R. E.

AU - Feigenbaum, L.

AU - Shaevitz, D.

AU - Sheffler, M.

AU - Tiee, C.

PY - 2003/11

Y1 - 2003/11

N2 - 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.

AB - 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.

KW - Epitaxial growth

KW - Island dynamics

KW - Level set

KW - Surface reconstructions

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VL - 16

SP - 1165

EP - 1170

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 8

ER -

Multiple domain dynamics simulated with coupled level sets

Abstract

Keywords

ASJC Scopus subject areas

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