Mesh-free approach to Helmholtz equation based on radial basis functions

Authors

DOI:

https://doi.org/10.26636/jtit.2005.2.302

Keywords:

Helmholtz equation, radial basis functions, meshfree method, cylindrical waveguides

Abstract

Recently, a radial basis functions (RBFs) method, which was originally proposed for interpolation problems, has been developed and applied to solve partial differential equations and eigenproblems. Properties of that method (mesh-free algorithm) allows one to use it in many areas, including electromagnetics. In this paper the mesh-free RBF method for solving Helmholtz equation was applied and a new adaptive algorithm for defining the set of interpolation centers was proposed. Using the proposed approach the cutoff wavelengths and the field distribution in cylindrical waveguides of arbitrary cross-section were calculated with a high accuracy.

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References

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Submitted

2023-04-09

Published

2005-06-30

Issue

No. 2 (2005)

Section

RESEARCH ARTICLES

License

Copyright (c) 2005 Journal of Telecommunications and Information Technology

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
P. Kowalczyk and M. Mrozowski, “Mesh-free approach to Helmholtz equation based on radial basis functions”, JTIT, vol. 20, no. 2, pp. 71–74, Jun. 2005, doi: 10.26636/jtit.2005.2.302.

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