Spectral Stochastic Edge Element Method for Complex em Problems

Abhijith, BN and Vinoy, KJ (2018) Spectral Stochastic Edge Element Method for Complex em Problems. In: 2018 IEEE Indian Conference on Antennas and Propagation, InCAP 2018, 16 -19 December 2018, Hyderabad.

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Abstract

The finite element formulation for electromagnetics with edge elements are reformulated using spectral expansion to extend the model to include stochastic variations of dielectric constant and loss tangent. Such variations arising due to the manufacturing process are typically handled using Monte Carlo simulations with large number of samples requiring significant computational time. A waveguide with a dielectric layer in the middle having material variation is analysed as an example for a fullwave 3D electromagnetics problem. The solution from proposed spectral stochastic edge element method matches with Monte Carlo with an asymptotically large number of samples at a negligible additional computational cost.

Item Type:	Conference Paper
Publication:	2018 IEEE Indian Conference on Antennas and Propagation, InCAP 2018
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	The copyright for this article belongs to the Institute of Electrical and Electronics Engineers Inc.
Keywords:	Finite difference method; Intelligent systems; Monte Carlo methods; Stochastic models; Stochastic systems, Edge elements; Galerkin approach; Material variation; Polynomial chaos expansion; Random fields; Spectral expansions; Stochastic, Finite element method
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	01 Aug 2022 09:17
Last Modified:	01 Aug 2022 09:17
URI:	https://eprints.iisc.ac.in/id/eprint/75110

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