论文信息 - A combined wavelet-element free Galerkin method for numerical calculations of electromagnetic fields

A combined wavelet-element free Galerkin method for numerical calculations of electromagnetic fields

A combined wavelet-element free Galerkin (W-EFG) method is proposed for solving electromagnetic (EM) field problems. The bridging scales are used to preserve the consistency and linear independence properties of the entire bases. A detailed description of the development of the discrete model and its numerical implementations is given to facilitate the reader to understand the proposed algorithm. A numerical example to validate the proposed method is also reported.

[1] Wing Kam Liu,et al. Wavelet and multiple scale reproducing kernel methods , 1995 .

[2] S. Atluri,et al. A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics , 1998 .

[3] Gregory J. Wagner,et al. Hierarchical enrichment for bridging scales and mesh-free boundary conditions , 2001 .

[4] T. Belytschko,et al. Element‐free Galerkin methods , 1994 .

[5] Shiyou Yang,et al. Weak formulation of finite element method using wavelet basis functions , 2001 .

[6] José Márcio Machado,et al. Wavelet-Galerkin method for computations of electromagnetic fields-computation of connection coefficients , 2000 .

[7] B. Nayroles,et al. Generalizing the finite element method: Diffuse approximation and diffuse elements , 1992 .