Hierarchical solution procedure of combined finite element-wavelets methods

Author

Yimin, Tang ; Xueping, Xie

Author_Institution

EE Coll., Zhejiang Univ., Hangzhou, China

Volume

2

fYear

2001

fDate

37104

Firstpage

1094

Abstract

A hierarchical solution procedure of finite element methods using the multi-resolution property of wavelets is proposed. The characteristics of the proposed procedure is that (1) an approximation with a coarse mesh is determined firstly, and (2) then the approximation is refined hierarchically without any requirement for remeshing. Therefore, the proposed method seems more attractive for problems involving greedy gradients in only a small sub-region such as thin skin effect study of iron materials in high frequency fields. Numerical example is designed to demonstrate the hierarchical nature of the proposed method

Keywords

electromagnetic field theory; finite element analysis; skin effect; wavelet transforms; coarse mesh; combined finite element-wavelets methods; computational electromagnetics; connection coefficients; greedy gradients; hierarchical nature; hierarchical solution procedure; high frequency fields; iron materials; meshless method; multi-resolution property; remeshing; thin skin effect; wavelets; Computational electromagnetics; Educational institutions; Finite element methods; Frequency; Interpolation; Iron; Kernel; Moment methods; Poisson equations; Skin effect;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Machines and Systems, 2001. ICEMS 2001. Proceedings of the Fifth International Conference on

Conference_Location

Shenyang

Print_ISBN

7-5062-5115-9

Type

conf

DOI

10.1109/ICEMS.2001.971868

Filename

971868