Analysis of harmonic electromagnetic field using element-free Galerkin method

作者：Yang, E H; Wang, S G^*; Mo, J Q; Liang, Q H; Xu, W

来源：International Journal for Numerical Methods in Biomedical Engineering, 2011, 27(6): 848-859.

DOI：10.1002/cnm.1335

• element-free
• harmonic electromagnetic field
• weighted residual method
• penalty method
• interface conditions
• magnetic vector potential

By means of the vector weight function and the weighted residual method, the detailed implementation of the numerical model in a harmonic electromagnetic problem, which is formulated with the A-phi-A method, is completed by applying the element-free Galerkin method (EFGM) in the cylindrical coordinates. Moreover, the impositions of the essential boundary conditions and the interface conditions (ICs) are also discussed. Furthermore, an axisymmetric longitudinal flux induction heating problem is applied to validate the effectiveness of the EFGM for the electromagnetic problem. The computational results agree well with those of the finite element method (FEM). It proves that the numerical model of the harmonic electromagnetic problem is correct. In addition, the appropriate value of the penalty coefficient for the electromagnetic field ICs is given.

• 出版日期2011-6
• 单位上海交通大学