Fictitious domain models for topology optimization of time-harmonic problems

Jakob S. Jensen*

*Corresponding author for this work

    Research output: Contribution to journalJournal articleResearchpeer-review

    50 Downloads (Pure)


    A new fictitious domain model for topology optimization of time-harmonic problems based on a wave to diffusion equation transition is proposed. By employing negative values of appropriate material coefficients, a tuneable exponential decay of the field amplitude in the fictitious domains can be obtained, whereas for the conventional model a finite field amplitude is always present. To demonstrate the applicability of the model, we consider two topology optimization problems; a volume minimization problem for acoustic topology optimization for which intuitive meaningful designs are obtained with the proposed model unlike the case with a conventional contrast model. For a structural topology optimization example, the proposed model is shown to remove problematic issues with structural artifacts found for a certain dynamic compliance minimization problem.

    Original languageEnglish
    JournalStructural and Multidisciplinary Optimization
    Pages (from-to)871–887
    Publication statusPublished - 2021


    • Fictitious domain
    • Timeharmonic problems
    • Topology optimization


    Dive into the research topics of 'Fictitious domain models for topology optimization of time-harmonic problems'. Together they form a unique fingerprint.

    Cite this