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. @ 2003 Elsevier Ltd. All rights reserved. Keywords-Level set, Island dynamics, Epitaxial growth, Surface reconstructions.