Title:

Mesh-free approach to Helmholtz equation based on radial basis functions, Journal of Telecommunications and Information Technology, 2005, nr 2

Creator:

Kowalczyk, Piotr ; Mrozowski, Michał

Subject and Keywords:

cylindrical waveguides ; mesh-free method ; radial basis functions ; Helmholtz equation

Description:

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 (meshfree 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.

Publisher:

Instytut Łączności - Państwowy Instytut Badawczy, Warszawa

Date:

2005, nr 2

Resource Type:

artykuł

Format:

application/pdf

DOI:

10.26636/jtit.2005.2.302

ISSN:

1509-4553

eISSN:

1899-8852

Source:

Journal of Telecommunications and Information Technology

Language:

ang

Rights Management:

Biblioteka Naukowa Instytutu Łączności