Abstract
The generalized polynomial chaos expansion was broadly introduced to model systems with uncertain inputs, including random material properties and random computational geometries. This paper focuses solving electromagnetic field when the geometry contains multi-randomness. A linear transformation always maps spatial random variables into grids with fixed length. Hence a great advantage of the method is that the numerical mesh is not changed despite geometrical variations. We applied efficient stochastic Galerkin methods to time-domain Maxwell's equations when thicknesses of two-layer media are uncertain. High-order Runge-Kutta discontinuous Galerkin methods were performed on the resulting system of the expansion coefficients.
Recommended Citation
Y. Cheng and L. J. Jiang, "Stochastic Galerkin Methods For Transient Maxwell's Equations With Random Geometries," 2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings, pp. 2099 - 2100, article no. 7696756, Institute of Electrical and Electronics Engineers, Oct 2016.
The definitive version is available at https://doi.org/10.1109/APS.2016.7696756
Department(s)
Electrical and Computer Engineering
International Standard Book Number (ISBN)
978-150902886-3
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
25 Oct 2016
