Inverse Multiquadric Radial Basis Functions in Eigenvalue Analysis of a Circular Waveguide Using Radial Point Interpolation Method

Sivaram, SA and Vinoy, KJ (2020) Inverse Multiquadric Radial Basis Functions in Eigenvalue Analysis of a Circular Waveguide Using Radial Point Interpolation Method. In: IEEE Microwave and Wireless Components Letters, 30 (6). pp. 537-540.

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Abstract

Meshless time domain methods allow flexible distribution of nodes in the computational domain. The radial point interpolation method (RPIM) in electromagnetics with Gaussian radial basis functions (RBFs) requires global interpolation matrices with large condition numbers even for simple problems such as eigenvalue analysis of a circular waveguide. In addition, nonorthogonal grids in such problems demand divergence-free conditions to be enforced. In this letter, a divergence-free inverse multiquadric RBF has been proposed to efficiently solve such electromagnetic (EM) problems. Real parts in eigenvalues are nearly eliminated by this approach, thus removing spurious solutions. In addition, the proposed approach results in longtime stability of numerical analysis. © 2001-2012 IEEE.

Item Type:	Journal Article
Publication:	IEEE Microwave and Wireless Components Letters
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	Copy right for this article belongs to Institute of Electrical and Electronics Engineers Inc.
Keywords:	Circular waveguides; Eigenvalues and eigenfunctions; Functions; Interpolation; Inverse problems; Number theory; Radial basis function networks, Computational domains; Eigenvalue analysis; Gaussian radial basis functions; Global interpolations; Inverse multiquadric; Long-time stabilities; Radial point interpolation method; Time-domain methods, Time domain analysis
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	10 Nov 2020 09:51
Last Modified:	10 Nov 2020 09:51
URI:	http://eprints.iisc.ac.in/id/eprint/65711

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