Title :
Application of Multiscale Algorithm to Material Efficiency for Rhombus Periodic Structure
Author :
Wang, Xin ; Gao, Shasha ; Qiu, Yuenan
Author_Institution :
Dept. of Math., Shanghai Univ., Shanghai, China
Abstract :
In this paper we discuss the multiscale asymptotic expansion for a kind of general second order elliptic problem with rapidly oscillating coefficients in parallel tope periodic structure. Based on the theoretical result, i.e. the property of effective coefficient when applying isotropic scaling, we investigate exhaustively the effect of structure parameters on the effective material coefficient by numerical simulations.
Keywords :
computational geometry; elliptic equations; finite element analysis; FEM; finite element method; general second order elliptic problem; isotropic scaling; material coefficient; material efficiency; multiscale algorithm; multiscale asymptotic expansion; numerical simulations; oscillating coefficients; parallel tope periodic structure; rhombus periodic structure; Algorithm design and analysis; Conductivity; Educational institutions; Finite element methods; Materials; Periodic structures; Thermal conductivity; finite element method (FEM); homogenization; multiscale asymptotic analysis;
Conference_Titel :
Industrial Control and Electronics Engineering (ICICEE), 2012 International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-4673-1450-3
DOI :
10.1109/ICICEE.2012.185