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High-Order Methods for Surface Electromagnetic Integral Equations

In: Deterministic, Stochastic, and Deep Learning Methods for Computational Electromagnetics

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  • Wei Cai

    (Southern Methodist University, Department of Mathematics)

Abstract

In this chapter, we will present surface integral equations for electromagnetic scattering. Galerkin methods using mixed vector–scalar potentials and Nyström collocation methods using hyper-singular formulation will be discussed. Also, we will discuss the issue of removing resonance from cavity modes with a combined integral equation approach. Finally, the high-order Rao–Wilton–Glisson (RWG) current basis for the Galerkin methods will be given. The volume integral equation method for Maxwell’s equations will be discussed in Sect. 14.4 .

Suggested Citation

  • Wei Cai, 2025. "High-Order Methods for Surface Electromagnetic Integral Equations," Springer Books, in: Deterministic, Stochastic, and Deep Learning Methods for Computational Electromagnetics, edition 0, chapter 0, pages 301-340, Springer.
    • Handle: RePEc:spr:sprchp:978-981-96-0100-4_11
    DOI: 10.1007/978-981-96-0100-4_11
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