矢量磁位散度约束的罚函数方法中罚因子的数值特性

On the Penalty Factor in the Penalty Function Methodfor Constraining Divergence of the Magnetic Vector Potential

介绍了三维电磁场有限元数值计算中约束矢量磁位的罚函数方法，通过实例计算讨论了罚因子的取值对有限元刚度矩阵性态、矢量磁位散度的约束及场数值解精度的影响。

The penalty function method for constraining divergence of the magnetic vector potential in FEA of three dimensional electromagnetic field problems is introduced. The Galerkin form of method of weighted residual equations for the corresponding boundary value problems is given . Some numerical effects of the penalty factor on the improvement of the property of the FE matrix equation, the divergence restraint of the magnetic vector potential and the solution accuracy of the field problems are investigated by FEM modelling