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

• Autorzy: Kowalczyk P. , Mrozowski M.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

• Wydawca: Instytut Łączności - Państwowy Instytut Badawczy
• Czasopismo: Journal of Telecommunications and Information Technology
• Rocznik: 2005
• Tom: nr 2
• Strony: 71--74
• Opis fizyczny: Bibliogr. 6 poz., il., tab.

Twórcy

autor

Kowalczyk P.

autor

Mrozowski M.

• Department of Electronics, Telecommunications, and Informatics Gdańsk University of Technology, Narutowicza st 11/12, 80-952 Gdańsk, Poland,