Spectral stochastic finite element method for periodic structure

Author

G, Hemanth ; Vinoy, K.J. ; Gopalakrishnan, S.

Author_Institution

Dept. of Electr. Commun. Eng., Indian Inst. of Sci., Bangalore, India

fYear

2014

fDate

15-17 Dec. 2014

Firstpage

9

Lastpage

12

Abstract

In this paper we formulate the finite element matrix equations using spectral stochastic methods for plane wave scattering by a periodic structures with uncertain parameters. The input random variable is discretized by Karhunen-Loève expansion method and output random solution is expanded using polynomial chaos method. Stochastic Galerkin method is employed to get least squares solution. We present the method of coupling the plane wave scattering problem with SSFEM and illustrate with a numerical example.

Keywords

Galerkin method; electromagnetic wave scattering; finite element analysis; matrix algebra; Karhunen-Loève expansion method; SSFEM; finite element matrix equations; least squares solution; output random solution; periodic structure; plane wave scattering; polynomial chaos method; spectral stochastic finite element method; stochastic Galerkin method; Conferences; Finite element analysis; Manganese; Microwave theory and techniques; Periodic structures; Radio frequency; Electromagnetic Band Gap; Finite Element Method; Karhunen-Loève; Polynomial Chaos; Spectral Stochastic Finite Element Method;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave and RF Conference (IMaRC), 2014 IEEE International

Conference_Location

Bangalore

Type

conf

DOI

10.1109/IMaRC.2014.7038959

Filename

7038959