Improving multiresolution topology optimization via multiple discretizations

Tam H. Nguyen, Glaucio H. Paulino, Junho Song, Chau H. Le

Research output: Contribution to journalArticlepeer-review

77 Scopus citations


Unlike the traditional topology optimization approach that uses the same discretization for finite element analysis and design optimization, this paper proposes a framework for improving multiresolution topology optimization (iMTOP) via multiple distinct discretizations for: (1) finite elements; (2) design variables; and (3) density. This approach leads to high fidelity resolution with a relatively low computational cost. In addition, an adaptive multiresolution topology optimization (AMTOP) procedure is introduced, which consists of selective adjustment and refinement of design variable and density fields. Various two-dimensional and three-dimensional numerical examples demonstrate that the proposed schemes can significantly reduce computational cost in comparison to the existing element-based approach.

Original languageEnglish (US)
Pages (from-to)507-530
Number of pages24
JournalInternational Journal for Numerical Methods in Engineering
Issue number6
StatePublished - Nov 9 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics


  • Adaptive optimization
  • Density mesh
  • Design variable
  • Finite elements
  • Multiresolution
  • Multiresolution topology optimization (MTOP)


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