A finite element-based level set method for structural optimization

Xianghua Xing, Peng Wei, Michael Yu Wang

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34 Citations (Scopus)


A finite element-based level set method is implemented for structural optimization. The streamline diffusion finite element method is used for solving both the level set equation and the reinitialization equation. The lumped scheme is addressed and the accuracy is compared with the conventional finite difference-based level set method. A Dirichlet boundary condition is enforced during the reinitialization to prevent the boundary from drifting. Numerical examples of minimum mean compliance design illustrate the reliability of the proposed optimization method.

Original languageEnglish
Pages (from-to)805-842
Number of pages38
JournalInternational Journal for Numerical Methods in Engineering
Issue number7
Publication statusPublished - 14 May 2010
Externally publishedYes


  • Finite element
  • Level set method
  • Streamline diffusion
  • Structural optimization

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