Structural and Multidisciplinary Optimization

, Volume 29, Issue 6, pp 407–417

Structure topology optimization: fully coupled level set method via FEMLAB

Educational Article

DOI: 10.1007/s00158-004-0503-z

Cite this article as:
Liu, Z., Korvink, J. & Huang, R. Struct Multidisc Optim (2005) 29: 407. doi:10.1007/s00158-004-0503-z


This paper presents a procedure which can easily implement the 2D compliance minimization structure topology optimization by the level set method using the FEMLAB package. Instead of a finite difference solver for the level set equation, as is usually the case, a finite element solver for the reaction–diffusion equation is used to evolve the material boundaries. All of the optimization procedures are implemented in a user-friendly manner. A FEMLAB code can be downloaded from the homepage and is free for educational purposes.


FEMLAB Finite element method Level set method Reaction–diffusion equation Structure topology optimization  

Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  1. 1.Institute for Microsystem Technology (IMTEK)Albert Ludwigs UniversityFreiburgGermany
  2. 2.School of Civil Engineering & MechanicsShanghai Jiao Tong UniversityShanghaiChina

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