复杂多尺度电磁散射问题的新型数值建模方法

电磁散射特性数据的可靠性、准确性对于现代武器装备精确探测、识别、打击目标意义重大。本项目拟针对复杂多尺度结构、多材料组分目标开展非共形区域分解框架下的多区混合求解器研究，研究内容主要包括区域分解建模理论和子求解器协同计算两大部分，重点突破非共形嵌入式有限元区域分解算法、新型矩阵压缩算法、低复杂度的快速直接求逆以及多求解器协同计算等关键技术。其特点是基于非共形区域分解框架，开发不同算法以对具有不同几何和物理特性的子区系统进行有效建模和计算，同时设计高效传输条件完成全局系统矩阵的构建，最终对含复杂结构、材料的含腔体整机目标实现一体化数值建模，在电磁散射建模理论和目标特性工程上都具有重要的学术和应用价值。

The reliability and accuracy of electromagnetic scattering characteristic data are of great significance to the accurate detection, identification and attack of modern weapons and equipment. This project intends to study the multi-region, multi-solver in the framework of non-conformal domain decomposition method for complex targets with multi-scale structures and multi-material components. The research mainly includes two parts: the theory of domain decomposition methods and collaborative computation between sub-solvers, which focus on breaking through the key techniques such as non-conformal embedded finite element domain decomposition method, novel matrix compression technique, fast and direct inverse with low complexity and multiple solvers for collaborative computation. Its characteristics are based on the non-conformal domain decomposition framework, developing different algorithms to effectively model and compute sub-domain systems with different geometric and physical features, while designing efficient transmission conditions to construct the global system matrix. Finally, the integrated numerical modeling of the stealth aircraft-cavity with complex structures and materials is achieved, which has significant academic and application value in the theory of electromagnetic scattering modeling and the engineering of target characteristics.