论文标题
不精确和原始多级FETI-DP方法：多级扩展和与BDDC的相互作用
Inexact and primal multilevel FETI-DP methods: a multilevel extension and interplay with BDDC
论文作者
论文摘要
我们研究了一个框架，该框架允许大约在FETI-DP方法中解决粗糙问题。它基于带有三角形预调节器的Feti-DP系统的鞍点配方。其中一个块近似于粗糙的问题，我们将多级BDDC方法用作主要工具。然后，这种策略自然会导致多级Feti-DP方法，我们表明多级Feti-DP和BDDC预处理运算符的光谱基本相同。该理论通过一组数值实验来说明，我们还提供了一些实验，当粗溶液通过代数多机近似。
We study a framework that allows to solve the coarse problem in the FETI-DP method approximately. It is based on the saddle-point formulation of the FETI-DP system with a block-triangular preconditioner. One of the blocks approximates the coarse problem, for which we use the multilevel BDDC method as the main tool. This strategy then naturally leads to a version of multilevel FETI-DP method, and we show that the spectra of the multilevel FETI-DP and BDDC preconditioned operators are essentially the same. The theory is illustrated by a set of numerical experiments, and we also present a few experiments when the coarse solve is approximated by algebraic multigrid.
