论文标题
铁流体流量模型的能源保存混合有限元方法
Energy-preserving Mixed finite element methods for a ferrofluid flow model
论文作者
论文摘要
在本文中，我们为Shliomis [Soviet Physics Jetp，1972]提出的铁氟流动流模型开发了一类混合有限元方法。我们表明，弱解决方案对模型的能量稳定性恰好用于半分散和完全离散的有限元解决方案。此外，我们证明了离散解决方案的存在和唯一性，并获得了半离散方案和完全离散方案的最佳误差估计。数值实验证实了理论结果。
In this paper, we develop a class of mixed finite element methods for the ferrofluid flow model proposed by Shliomis [Soviet Physics JETP, 1972]. We show that the energy stability of the weak solutions to the model is preserved exactly for both the semi- and fully discrete finite element solutions. Furthermore, we prove the existence and uniqueness of the discrete solutions and derive optimal error estimates for both the the semi- and fully discrete schemes. Numerical experiments confirm the theoretical results.
