Unconditionally stable improved meshless methods for electromagnetic time-domain modeling
ISSN: 0332-1649
Article publication date: 1 January 2014
Abstract
Purpose
In this paper, a modified meshless method, as one of the numerical techniques that has recently emerged in the area of computational electromagnetics, is extended to solving time-domain wave equation. The paper aims to discuss these issues.
Design/methodology/approach
In space domain, the fields at the collocation points are expanded into a series of new Shepard's functions which have been suggested recently and are treated with a meshless method procedure. For time discretization of the second-order time-derivative, two finite-difference schemes, i.e. backward difference and Newmark-β techniques, are proposed.
Findings
Both schemes are implicit and always stable and have unconditional stability with different orders of accuracy and numerical dispersion. The unconditional stability of the proposed methods is analytically proven and numerically verified. Moreover, two numerical examples for electromagnetic field computation are also presented to investigate characteristics of the proposed methods.
Originality/value
The paper presents two unconditionally stable schemes for meshless methods in time-domain electromagnetic problems.
Keywords
Citation
Razmjoo, H. and Movahhedi, M. (2014), "Unconditionally stable improved meshless methods for electromagnetic time-domain modeling", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 33 No. 1/2, pp. 463-482. https://doi.org/10.1108/COMPEL-12-2012-0368
Publisher
:Emerald Group Publishing Limited
Copyright © 2014, Emerald Group Publishing Limited