Design optimization with complex-valued material parameters
- We consider the two-phase design optimization problem for a linear scalar second-order elliptic equation with complex-valued material parameters modeling dielectric and conductive properties in time-harmonic electrostatics as they arise, e.g., in sensor design optimization. Owing to the complex-valued material parameters, application of well-established topology optimization theory is not directly possible. We discuss obstacles and limitations of the relaxation via homogenization method in this context and derive a gradient descent method based on restriction of admissible designs to simple laminates. Numerical simulations showcase the functioning of the method for optimizing the design of an electric field sensor.
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| Author: | Ursula Weiss, Malte A. PeterORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1243351 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/124335 |
| ISSN: | 0022-0833OPAC |
| Parent Title (English): | Journal of Engineering Mathematics |
| Publisher: | Springer Science and Business Media LLC |
| Place of publication: | Berlin |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2025 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2025/08/07 |
| Volume: | 153 |
| First Page: | 7 |
| DOI: | https://doi.org/10.1007/s10665-025-10469-0 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehr- und Forschungseinheit Angewandte Analysis | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
