论文标题

改进的完整一阶磁场积分方程的离散化

Improved Discretization of the Full First-Order Magnetic Field Integral Equation

论文作者

Kornprobst, Jonas, Paulus, Alexander, Eibert, Thomas F.

论文摘要

经典磁场积分方程(MFIE)的不准确性是一个长期研究的问题。我们研究了解决准确性问题的潜在方法之一:高阶离散化方案。尽管这些能够提高准确性,但我们证明了准确性问题仍然存在。我们提出了一个基于身份操作员的弱化离散化的高级方案,该方案能够大大提高高频MFIE准确性 - 而无需显着增加计算工作或复杂性。

The inaccuracy of the classical magnetic field integral equation (MFIE) is a long-studied problem. We investigate one of the potential approaches to solve the accuracy problem: higher-order discretization schemes. While these are able to offer increased accuracy, we demonstrate that the accuracy problem may still be present. We propose an advanced scheme based on a weak-form discretization of the identity operator which is able to improve the high-frequency MFIE accuracy considerably - without any significant increase in computational effort or complexity.

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