1. An Electromagnetic Stochastic Finite Element Method for Helmholtz-Type Wave Propagation Analysis
- Author
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Wang Zhonghua, Shen Xiaowen, Chao Jiang, and B.Y. Ni
- Subjects
Physics ,Random field ,Electromagnetics ,Wave propagation ,Stochastic process ,Mathematical analysis ,Scalar (mathematics) ,020206 networking & telecommunications ,02 engineering and technology ,Condensed Matter Physics ,Wave equation ,Atomic and Molecular Physics, and Optics ,Finite element method ,symbols.namesake ,Helmholtz free energy ,0202 electrical engineering, electronic engineering, information engineering ,symbols ,Electrical and Electronic Engineering - Abstract
In this paper, an electromagnetic stochastic finite element method is presented to calculate the statistical moments of electromagnetic problems with spatially uncertain dielectric parameters. First, the random field model of the dielectric material is represented by the Karhunen–Loeve expansion and inserted into the scalar Helmholtz wave equations. The stochastic equilibrium equations are thus constructed according to the node-based finite element method. Second, the first-order and second-order perturbation stochastic finite element methods are developed for calculating the statistical moments of electromagnetic responses. Finally, the feasibility and validity of the proposed method are verified by three numerical examples.
- Published
- 2020
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