电磁场有限元分析的快速数值方法研究

有限元理论及技术对于求解大规模有限元方程至关重要的快速算法研究尚存许多问题.提出了一种目标区域定位算法并与波阵法联合使用的新数值技术,分析了新算法的原理及其在非线性条件下的应用.阐述了在磁矢量(MVP)有限元中的实现,最后给出计算实例.结果表明,采用新方法可以节约大量计算机资源,是一种鲁棒性较好的数值技术,对大规模电磁场数值计算也有良好的应用前景.

Study on Fast Numerical Method for Electromagnetic Finite Element Analysis

Finite element method(FEM) is powerful for numerical analysis and has been widely and successfully used in numerical electromagnetic analysis.On the other hand,the solver development,which is also very important in solving large-scale FEM equations,still seems not as well-researched as that of model development.In this paper,an numerical technique of target-region locating(TRL) is presented and applied in finite element method for 3D electromagnetic modeling.The principle of new solver and its availability for non-linear use are demonstrated,showing that it can be easily used with efficiency.Also the implementation in FEM based on magnetic vector potential is introduced.Finally a numerical examples of 3D magnetostatic modeling is given with the comparison of computer resource used between new solver and commercial software,seeing that a huge computer resource can be saved by employing new solver.Besides that,this method can also be extended to other quasi-static applications.