Topology-optimization of structures based on the MLPG mixed collocation method

Shu Li, S. N. Atluri

Research output: Contribution to journalArticlepeer-review

44 Scopus citations


The Meshless Local Petrov-Galerkin (MLPG) "mixed collocation" method is applied to the problem of topology-optimization of elastic structures. In this paper, the topic of compliance minimization of elastic structures is pursued, and nodal design variables which represent nodal volume fractions at discretized nodes are adopted. A so-called nodal sensitivity filter is employed, to prevent the phenomenon of checkerboarding in numerical solutions to the topology-optimization problems. The example results presented in the paper demonstrate the suitability and versatility of the MLPG "mixed collocation" method, in implementing structural topology-optimization.

Original languageEnglish
Pages (from-to)61-74
Number of pages14
JournalCMES - Computer Modeling in Engineering and Sciences
Issue number1
StatePublished - 2008


  • Collocation
  • MLPG
  • Meshless method
  • Mixed method
  • Topology optimization


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