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Refined saddle-point preconditioners for discretized Stokes problems
Numerische Mathematik ( IF 2.1 ) Pub Date : 2017-07-25 , DOI: 10.1007/s00211-017-0908-4
John W Pearson 1 , Jennifer Pestana 2 , David J Silvester 3
Affiliation  

This paper is concerned with the implementation of efficient solution algorithms for elliptic problems with constraints. We establish theory which shows that including a simple scaling within well-established block diagonal preconditioners for Stokes problems can result in significantly faster convergence when applying the preconditioned MINRES method. The codes used in the numerical studies are available online.

中文翻译:

用于离散斯托克斯问题的精制鞍点预处理器

这篇论文关注的是具有约束的椭圆问题的有效求解算法的实现。我们建立的理论表明,在适用于 Stokes 问题的完善的块对角预处理器中包含一个简单的缩放可以在应用预处理 MINRES 方法时显着加快收敛速度​​。数值研究中使用的代码可在线获取。
更新日期:2017-07-25
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