时域推进算法中TPM模型的奇异性研究

Research on Singularity of TPM in Marching-on-in-time Algorithm

三角贴片模型(TPM)常用于研究电磁散射的时域推进算法中。但在计算矢量位函数和标量位函数的微分过程中,TPM模型将产生奇异点。本文详细分析了TPM模型奇异性问题的产生,并提出了处理奇异点的方法,给出的算例证明了该处理方法的有效性。

Triangular patch model （TPM） is usually employed in marching-on-in-time algorithm to analyze the scattered electromagnetic fields. When the vector potential function and the differential of the scalar potential function are computed, singular points would occur on TPM. This paper details the singularity analysis of TPM. A method is proposed to deal with all kinds of singular points. It proves the effectivity through an application example.