论文标题
基于柔性横向磁分析的混合SIE-PDE公式的非符号结构域分解方法
Nonconformal Domain Decomposition Method Based on the Hybrid SIE-PDE Formulation for Flexible Transverse Magnetic Analysis
论文作者
论文摘要
提出了一种基于杂交表面积分方程部分微分方程（SIE-PDE）公式的非符号结构域分解方法，以解决横向磁电磁问题。在混合Sie-PDE公式中，首先构建具有电流密度的等效模型，然后将其嵌入不均匀的Helmholtz方程中作为激发。连接矩阵耦合了SIE和PDE域的接口，经过精心设计以支持非符号网格。由于每个域中的网格都是独立生成的，因此与原始混合Sie-PDE配方相比，它对多尺度和复杂结构进行了更有效和灵活。所提出的配方是有效，灵活且易于实施的。它的准确性，效率和灵活性通过三个数值示例验证。
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.
