论文标题
负顺序问题的线性复杂性的统一预处理
Uniform preconditioners of linear complexity for problems of negative order
论文作者
论文摘要
我们提出了一个多级类型运算符，该操作员可用于操作员（或caldéron）预处理框架，以构建由负订单运算符的统一预处理，该订单由通过本地精制分区的家族分配多项式离散的负顺序运算符。应用此多级操作员的成本在网格单元的数量中线性缩放。因此，它提供了一个统一的预处理，当我们早期的工作[数学]中使用，该预处理可以在线性复杂性中应用。 Comp。，322（89）（2020），第645-674页。
We propose a multi-level type operator that can be used in the framework of operator (or Caldéron) preconditioning to construct uniform preconditioners for negative order operators discretized by piecewise polynomials on a family of possibly locally refined partitions. The cost of applying this multi-level operator scales linearly in the number of mesh cells. Therefore, it provides a uniform preconditioner that can be applied in linear complexity when used within the preconditioning framework from our earlier work [Math. of Comp., 322(89) (2020), pp. 645-674].
