Title :
Hierarchical solution procedure of combined finite element-wavelets methods
Author :
Yimin, Tang ; Xueping, Xie
Author_Institution :
EE Coll., Zhejiang Univ., Hangzhou, China
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;
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
DOI :
10.1109/ICEMS.2001.971868
