On projection methods, convergence and robust formulations in topology optimization

Fengwen Wang, Boyan Stefanov Lazarov, Ole Sigmund

    Research output: Contribution to journalJournal articleResearchpeer-review


    Mesh convergence and manufacturability of topology optimized designs have previously mainly been assured using density or sensitivity based filtering techniques. The drawback of these techniques has been gray transition regions between solid and void parts, but this problem has recently been alleviated using various projection methods. In this paper we show that simple projection methods do not ensure local mesh-convergence and propose a modified robust topology optimization formulation based on erosion, intermediate and dilation projections that ensures both global and local mesh-convergence.
    Original languageEnglish
    JournalStructural and Multidisciplinary Optimization
    Issue number6
    Pages (from-to)767-784
    Publication statusPublished - 2011

    Bibliographical note

    Please note correction: https://doi.org/10.1007/s00158-022-03326-6


    • Compliant mechanisms
    • Manufacturing constraints
    • Topology optimization
    • Robust design


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