论文标题
电磁和声学中传输问题的耦合域结合变异公式的杂散共鸣
Spurious Resonances in Coupled Domain-Boundary Variational Formulations of Transmission Problems in Electromagnetism and Acoustics
论文作者
论文摘要
我们开发了一个框架，阐明了在电磁散射和声学中产生的耦合变异配方的共同特征。我们表明，基于第一类的直接边界积分方程的杂种共鸣，构成了耦合的域 - 结合型组合，起源于其Calderon身份的形式结构。使用此观察结果，耦合问题的内核是明确的，我们表明它在外部表示公式下完全消失。
We develop a framework shedding light on common features of coupled variational formulations arising in electromagnetic scattering and acoustics. We show that spurious resonances haunting coupled domain-boundary formulations based on direct boundary integral equations of the first kind originate from the formal structure of their Calderon identities. Using this observation, the kernel of the coupled problem is characterized explicitly and we show that it completely vanishes under the exterior representation formula.
