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

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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


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