论文标题

磁场和磁场积分方程中的身份操作员的准确低阶离散方案

An Accurate Low-Order Discretization Scheme for the Identity Operator in the Magnetic Field and Combined Field Integral Equations

论文作者

Kornprobst, Jonas, Eibert, Thomas F.

论文摘要

讨论了针对磁场积分方程(MFIE)中的身份操作员的新的低阶离散方案。它的概念源自由Rao-Wilton-Glisson(RWG)函数离散的组合来源的弱形式表示。由此产生的MFIE克服了经典MFIE的准确性问题,同时它保持了快速的迭代求解器收敛。通过网状细化分析和近场散射结果来验证准确性的提高。此外,涉及新MFIE的组合场积分方程(CFIE)的仿真结果表明,该CFIE像经典CFIE一样是无内在的,并且具有良好的条件,但也像EFIE一样准确。

A new low-order discretization scheme for the identity operator in the magnetic field integral equation (MFIE) is discussed. Its concept is derived from the weak-form representation of combined sources which are discretized with Rao-Wilton-Glisson (RWG) functions. The resulting MFIE overcomes the accuracy problem of the classical MFIE while it maintains fast iterative solver convergence. The improvement in accuracy is verified with a mesh refinement analysis and with near- and far-field scattering results. Furthermore, simulation results for a combined field integral equation (CFIE) involving the new MFIE show that this CFIE is interior-resonance free and well-conditioned like the classical CFIE, but also accurate as the EFIE.

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