高阶阻抗边界条件与散射问题表面积分方程的新近似方法

IF 1.6 4区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC International Journal of Numerical Modelling-Electronic Networks Devices and Fields Pub Date : 2024-05-16 DOI:10.1002/jnm.3239

Christian Daveau, Soumaya Oueslati, Molka Kacem

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引用次数: 0

摘要

在本文中，我们提出了一种新方法，利用积分方程和高阶阻抗边界条件来近似解决电磁学中介质涂层导电体散射问题所产生的算子。我们引入了变分问题，并证明了其良好求解性。在离散化之后，我们发现由高阶阻抗边界条件产生的算子定义不清。我们介绍了新的理论方法，并通过数值实验强调了其潜力。

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New approximation method for high order impedance boundary condition with surface integral equations for the scattering problem

In this paper, we propose a new method to approximate operators resulted from solving the scattering Problem in electromagnetism by dielectrically coated conducting bodies, using integral equations and high order impedance boundary condition. We introduce the variational Problem and we prove its well-posedness. After discretization, we find that operators arising from the high-order impedance boundary conditions are not well-defined. We present the new theoretical approach and highlight its potential through numerical experiments.

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来源期刊

International Journal of Numerical Modelling-Electronic Networks Devices and Fields 工程技术-工程：电子与电气

CiteScore

4.60

自引率

6.20%

发文量

101

审稿时长

>12 weeks

期刊介绍： Prediction through modelling forms the basis of engineering design. The computational power at the fingertips of the professional engineer is increasing enormously and techniques for computer simulation are changing rapidly. Engineers need models which relate to their design area and which are adaptable to new design concepts. They also need efficient and friendly ways of presenting, viewing and transmitting the data associated with their models. The International Journal of Numerical Modelling: Electronic Networks, Devices and Fields provides a communication vehicle for numerical modelling methods and data preparation methods associated with electrical and electronic circuits and fields. It concentrates on numerical modelling rather than abstract numerical mathematics. Contributions on numerical modelling will cover the entire subject of electrical and electronic engineering. They will range from electrical distribution networks to integrated circuits on VLSI design, and from static electric and magnetic fields through microwaves to optical design. They will also include the use of electrical networks as a modelling medium.