A nonconformal domain decomposition method based on the hybrid surface integral equation partial differential equation (SIE-PDE) formulation is proposed to solve the transverse magnetic electromagnetic problems. In the hybrid SIE-PDE formulation, an equivalent model with only the electric current density is first constructed, and then is embedded into the inhomogeneous Helmholtz equation as an excitation. A connection matrix, which couples the interfaces of the SIE and PDE domains, is carefully designed to support nonconformal meshes. Since meshes in each domain are independently generated, it is much more efficient and flexible to model multiscale and complex structures compared with the original hybrid SIE-PDE formulation with conformal meshes. The proposed formulation is efficient, flexible and easy to implement. Its accuracy, efficiency and flexibility are validated by three numerical examples.
翻译:在混合的SIE-PDE配方中,首先构建了仅具有电流密度的等效模型,然后作为引力嵌入了不相容的Helmholtz方程式。一个连接矩阵将SIE和PDE域的界面结合在一起,精心设计,以支持非正式的模件。由于每个域的模件都是独立生成的,因此,与原混合的SIE-PDE配方相比,模型的多尺度和复杂结构要高效和灵活得多。提议的配方是高效、灵活和易于执行的,其准确性、效率和灵活性由三个数字示例加以验证。