论文标题
统一的分区如何影响索拉斯预科师？
How does the partition of unity influence SORAS preconditioner?
论文作者
论文摘要
我们研究了统一分区对对称优化的限制性施加兹（Soras）预处理剂在反应反向传输方程中的融合的影响。我们专注于两种统一分区，并研究对重叠和子域数量的依赖。特别是，在整个重叠区域内部的第二种统一分区，它在整个重叠区域的内部不是零，具有更有利的收敛属性，尤其是在增加重叠宽度的情况下，与统一的第一种分区相比，其梯度在子域界面上的梯度是零，并且它将是subdoain界面的零选择，而Oras solver的自然选择。
We investigate the influence of the choice of the partition of unity on the convergence of the Symmetrized Optimized Restricted Additive Schwarz (SORAS) preconditioner for the reaction-convection-diffusion equation. We focus on two kinds of partitions of unity, and study the dependence on the overlap and on the number of subdomains. In particular, the second kind of partition of unity, which is non-zero in the interior of the whole overlapping region, gives more favorable convergence properties, especially when increasing the overlap width, in comparison with the first kind of partition of unity, whose gradient is zero on the subdomain interfaces and which would be the natural choice for ORAS solver instead.
