An Enhanced Facet Determination Scheme in 3D

M. Reivinen*, Eero-Matti Salonen, I. Todoshchenko, V. P. Vaskelainen

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review


An enhanced scheme for the determination of equilibrium crystal shapes is introduced. The emphasis of the present study is put on the proper detection of the facets appearing on the crystal surface. The original formulation presented in [1] employs the principle of the virtual work, and the enhanced scheme additionally makes use of a penalty formulation approach. The derivation of the penalty terms is discussed in detail. Finally, the corresponding discrete method is applied to a certain problematic example case presented in [1] resulting now in the correct crystal shape.

Original languageEnglish
Pages (from-to)63-73
Number of pages11
JournalJournal of Low Temperature Physics
Issue number1-2
Early online date14 Jul 2016
Publication statusPublished - 1 Jan 2017
MoE publication typeA1 Journal article-refereed


  • Crystal shape
  • Facets
  • Penalty method
  • Virtual work


Dive into the research topics of 'An Enhanced Facet Determination Scheme in 3D'. Together they form a unique fingerprint.

Cite this