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- Title
Coupling Shape Optimization and Topological Derivative for Maxwell Equations.
- Authors
Alassane, SY
- Abstract
The paper deals with a coupling algorithm using shape and topological derivatives of a given cost functional and a problem governed by nonstationary Maxwell's equations in 3D. To establish the shape and topological derivatives, an adjoint method is used. For the topological asymptotic expansion, two examples of cost functionals are considered with the perturbation of the electric permittivity and magnetic permeability. We combine the shape derivative and topological one to propose an algorithm. The proposed algorithm allows to insert a small inhomogeneity (electric or magnetic) in a given shape.
- Subjects
TOPOLOGICAL derivatives; STRUCTURAL optimization; MAXWELL equations; PERMITTIVITY; MAGNETIC permeability; ASYMPTOTIC expansions
- Publication
Abstract & Applied Analysis, 2022, Vol 2022, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2022/2425990