论文标题
基于steklov-poincaré映射稳定的单电流逆源配方
Stabilized Single Current Inverse Source Formulations Based on Steklov-Poincaré Mappings
论文作者
论文摘要
事实证明，电磁学中的逆源问题与大量应用相关。尤其是在天线诊断中，通常以要解决的线性系统维度的增加而寻求爱解决方案。相反，在这项工作中，我们提出了一个减小尺寸的逆源问题的单电流公式，该公式通过稳定的steklov-Poincaré边界运算符利用双重函数来获得爱电流之一。理论治疗方法丰富了新方法，并通过基于准螺旋杆菌投影仪对Steklov-Poincaré操作员进行进一步的低频稳定，这是该领域第一个此类投影仪。新方案的有效性和实际相关性是通过理论和数值结果证明的。
The inverse source problem in electromagnetics has proved quite relevant for a large class of applications. In antenna diagnostics in particular, Love solutions are often sought at the cost of an increase of the dimension of the linear system to be solved. In this work, instead, we present a reduced-in-size single current formulation of the inverse source problem that obtains one of the Love currents via a stable discretization of the Steklov-Poincaré boundary operator leveraging dual functions. The new approach is enriched by theoretical treatments and by a further low-frequency stabilization of the Steklov-Poincaré operator based on the quasi-Helmholtz projectors that is the first of its kind in this field. The effectiveness and practical relevance of the new schemes are demonstrated via both theoretical and numerical results.
