.png){kind=icon}
返回
Dynamically relaxed block incomplete factorizations for solving two- and three-dimensional problems
.png){kind=icon}
OA
AI
DOI：10.1137/S1064827596311591.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
To efficiently solve second-order discrete elliptic PDEs by Krylov subspace-like methods, one needs to use some robust preconditioning techniques. Relaxed incomplete factorizations (RILU) are powerful candidates. Unfortunately, their efficiency critically depends on the choice of the relaxation parameter whose optimal value is not only hard to estimate but also strongly varies from one problem to another. These methods interpolate between the popular ILU and its modified variant (MILU). Concerning the pointwise schemes, a new variant of RILU that dynamically computes variable omega = omega(i) has been introduced recently. Like its ancestor RILU and unlike standard methods, it is robust with respect to both existence and performance. On top of that, it breaks the problem-dependence of omega(opt). A block version of this dynamically relaxed method is proposed and compared with classical pointwise and blockwise methods as well as with some existing dynamic variants, showing that with the new blockwise preconditioning technique, anisotropies are handled more effectively.
Keyword:
discretized partial differential equations
large sparse linear systems
preconditioned conjugate gradient
incomplete factorizations
diagonal relaxation
期刊
IF:
2.6
论文数:
5.1K
被引数:
1.8W
机构
暂无机构信息
引用论文
Electrical characterization of inkjet printed conductive traces using LinuxCNC.png)
2015 IEEE International Instrumentation and Measurement Technology Conference (I2MTC) Proceedings
2015 IEEE International Instrumentation and Measurement Technology Conference (I2MTC) ProceedingsIF0
PREAI
分享收藏A trajetória de um serviço público em álcool e outras drogas no município de Vitória: o caso do CPTT公共酒精与其他药物服务的轨迹：Vitória市的CPTT案例
OAAI
OAAI分享收藏Sex differences in smoking cessation: a retrospective cohort study in a psychosocial care unit in Brazil吸烟戒断的性别差异：一项在巴西心理社会护理单元进行的回顾性队列研究OAAI
OAAI分享收藏分享收藏An introduction to consulting psychology: Working with individuals, groups, and organizations.咨询心理学导论：与个体、群体和组织的工作。
IF0
PREAI
分享收藏
查看更多内容