FOV-equivalent block triangular preconditioners for generalized saddle-point problems

被引：4
|
作者：
Aulisa, Eugenio [1 ]
Calandrini, Sara [1 ]
Capodaglio, Giacomo [1 ]
机构：
[1] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA
来源：
APPLIED MATHEMATICS LETTERS | 2018年 / 75卷
基金：
美国国家科学基金会;
关键词：
Preconditioning; Field-of-values-equivalence; Finite elements; Generalized saddle-point problems;
D O I：
10.1016/j.aml.2017.06.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present sufficient conditions for field-of-values-equivalence between block triangular preconditioners and generalized saddle-point matrices arising from inf-sup stable finite element discretizations. We generalize a result by Loghin and Wathen (2004) for matrices with a pure saddle-point structure to the case where the (2, 2) block is non-zero. Moreover, we extend the analysis to the case where the (2, 1) block is not the transpose of the (1, 2) block. (C) 2017 Elsevier Ltd. All rights reserved.
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页码：43 / 49
页数：7
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