Author(s)

Lizheng Cheng ¹, Hongping Li ¹

Affiliation(s)

¹ Changsha Normal University, Changsha, China

Corresponding Author

Hongping Li

ABSTRACT

In this paper, a stochastic collocation method is considered for one-dimensional Maxwell equations with uncertainty. The random inputs of model problem comes from the dielectric constant, magnetic permeability, and the initial and boundary conditions. We first prove the regularity of the solution of one-dimensional Maxwell equations. Then the convergence of our numerical approach is verified. Further some relevant numerical examples are implemented to support the analysis.

KEYWORDS

Maxwell equations, convergence analysis, stochastic collocation methods, regularity

CITE THIS PAPER

Lizheng Cheng, Hongping Li, A Stochastic Collocation Methods to 1D Maxwell's Equations with Uncertainty. Journal of Engineering Mechanics and Machinery (2022) Vol. 7: 17-26. DOI: http://dx.doi.org/10.23977/jemm.2022.070304.

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