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A nonconformal domain decomposition method based on the hybrid surfaceintegral equation partial differential equation (SIE-PDE) formulation isproposed to solve the transverse magnetic electromagnetic problems. In thehybrid SIE-PDE formulation, an equivalent model with only the electric currentdensity is first constructed, and then is embedded into the inhomogeneousHelmholtz equation as an excitation. A connection matrix, which couples theinterfaces of the SIE and PDE domains, is carefully designed to supportnonconformal meshes. Since meshes in each domain are independently generated,it is much more efficient and flexible to model multiscale and complexstructures compared with the original hybrid SIE-PDE formulation with conformalmeshes. The proposed formulation is efficient, flexible and easy to implement.Its accuracy, efficiency and flexibility are validated by three numericalexamples.

Nonconformal Domain Decomposition Method Based on the Hybrid SIE-PDE Formulation for Flexible Transverse Magnetic Analysis