.png){kind=icon}
Return
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}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
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.
Keywords:
discretized partial differential equations
large sparse linear systems
preconditioned conjugate gradient
incomplete factorizations
diagonal relaxation
Journal
IF:
2.6
Papers:
5.1K
Citations:
1.8W
Organization
No organization information available
Cited Papers
ShareSaveElectrical 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
ShareSaveA trajetória de um serviço público em álcool e outras drogas no município de Vitória: o caso do CPTT
OAAI
OAAIShareSaveShareSaveShareSaveAn introduction to consulting psychology: Working with individuals, groups, and organizations.
IF0
PREAI
ShareSave
View more