Robust topology optimization using a posteriori error estimator for the finite element method

Vladislav Pimanov, Ivan Oseledets

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)

    Abstract

    In our work, we consider the classical density-based approach to the topology optimization. We propose to modify the discretized cost functional using a posteriori error estimator for the finite element method. It can be regarded as a new technique to prevent checkerboards. It also provides higher regularity of solutions and robustness of results.

    Original languageEnglish
    Pages (from-to)1619-1632
    Number of pages14
    JournalStructural and Multidisciplinary Optimization
    Volume58
    Issue number4
    DOIs
    Publication statusPublished - 1 Oct 2018

    Keywords

    • A posteriori error estimation
    • Checkerboards
    • Finite element method
    • Heat conduction
    • Topology optimization

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