论文标题
正向Maxwell方程的两级DDM预处理
Two-level DDM preconditioners for positive Maxwell equations
论文作者
论文摘要
在本文中，我们开发和分析域分解方法，用于由符合阳性麦克斯韦型方程的有限元离散化引起的方程式线性系统。域分解方法的收敛性在很大程度上取决于第二层中使用的粗空间的效率。我们设计了自适应的粗糙空间，以补充标量函数梯度的接近内核空间。这将[2]中的结果扩展到可变系数的情况和非凸域，以较大的粗空间为代价。
In this paper we develop and analyse domain decomposition methods for linear systems of equations arising from conforming finite element discretisations of positive Maxwell-type equations. Convergence of domain decomposition methods rely heavily on the efficiency of the coarse space used in the second level. We design adaptive coarse spaces that complement the near-kernel space made of the gradient of scalar functions. This extends the results in [2] to the variable coefficient case and non-convex domains at the expense of a larger coarse space.
