Fictitious domain models for topology optimization of time-harmonic problems

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 appropriate material coefficients, tuneable exponential decay the field amplitude in domains can be obtained, whereas conventional finite always present. To demonstrate applicability model, we consider two problems; volume minimization problem acoustic which intuitive meaningful designs are obtained with proposed unlike case contrast model. For structural example, shown remove problematic issues artifacts found certain dynamic compliance problem.