论文标题
与磁场平行的磁化硬化的铁氟烷模型的混合有限元方法
Mixed finite element methods for the ferrofluid model with magnetization paralleled to the magnetic field
论文作者
论文摘要
对于与磁场平行的磁化强度的铁流体流模型，考虑了混合有限元方法。 Ferrofluid模型是Maxwell方程和不可压缩的Navier-Stokes方程的耦合系统。通过巧妙地引入一些新变量，该模型被重写为几个可以独立解决的脱钩子系统。给出了混合有限元配方，以使具有适当有限元空间的解耦系统离散。显示了混合有限元解决方案的存在和唯一性，并在某些合理的假设下获得了最佳订单误差估计。数值实验证实了理论结果。
Mixed finite element methods are considered for a ferrofluid flow model with magnetization paralleled to the magnetic field. The ferrofluid model is a coupled system of the Maxwell equations and the incompressible Navier-Stokes equations. By skillfully introducing some new variables, the model is rewritten as several decoupled subsystems that can be solved independently. Mixed finite element formulations are given to discretize the decoupled systems with proper finite element spaces. Existence and uniqueness of the mixed finite element solutions are shown, and optimal order error estimates are obtained under some reasonable assumptions. Numerical experiments confirm the theoretical results.
