【摘要】 提出应用混合有限元法有限体积法处理运动电磁问题,讨论了运动电磁问题控制方程的特性,阐明了Galerkin有限元法离散格式的误差估计,说明了一般Galerkin有限元法处理对流占优型对流扩散方程时解的不稳定性。结合应用数学领域中处理对流扩散方程的方法,提出了用有限元法离散控制方程的扩散项,而用有限体积法离散控制方程的对流项,同时在对流项的离散中引入迎风思想以消除解的振荡。应用这种方法计算了一个简单的运动问题,结果表明该方法可以很好的处理运动问题。更多还原

【Abstract】 A hybrid finite element method(FEM) and finite volume method(FVM) to deal with motion problems in electromagnetic analysis is presented. The characteristic of the control equation which governing the motion problem is discussed. Error estimation of the discrete format of the general Galerkin FEM is analyzed. The instability of the solution of the general Galerkin FEM in solving the convection-diffusion equation is disscussed. The diffusion term of the equation is discrete by FEM, while the convection term is discrete by FVM. The upwind idea is adopted to guarantee the stability of the solution during the process of the discretion of convection term. A simple motion model is analyzed by this method. The calculation results show that this method is superior in treating with the motion problem.更多还原