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Adjoint sensitivity analysis of anisotropic structures

Adjoint sensitivity analysis of anisotropic structures

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In this chapter, we present an algorithm for adjoint sensitivity analysis of anisotropic materials. We show that using only one extra adjoint simulation, the sensitivities of the objective function with respect to all parameters are estimated. The material property tensors of the adjoint problem are the transpose of those of the original problem. The computational cost of the adjoint problem is the same as that of the original simulation. The derivation considered in this chapter addresses the nondispersive case. The considered tensors are assumed to be independent of time. The formulation presented in this chapter is adapted. The anisotropic and dispersive case is still a subject of research.

Chapter Contents:

  • 7.1 AVM for anisotropic materials
  • 7.2 Implementation
  • References

Inspec keywords: sensitivity analysis; tensors; anisotropic media

Other keywords: anisotropic materials; anisotropic structures; computational cost; objective function sensitivity; material property tensors; adjoint sensitivity analysis; nondispersive case

Subjects: General circuit analysis and synthesis methods; Algebra

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