Paper Info
Title
Use of direct solvers in TFETI massively parallel implementation
Abstract
The FETI methods blend iterative and direct solvers. The dual problem is solved iteratively using e.g. CG method; in each iteration, the auxiliary problems related to the application of an unassembled system matrix (subdomain problems' solutions and projector application in dual operator) are solved directly. The paper deals with the comparison of the direct solvers available in PETSc on the Cray XE6 machine HECToR (PETSc, MUMPS, SuperLU) regarding their performance in the two most time consuming actions in TFETI --- the pseudoinverse application and the coarse problem solution. For the numerical experiments, our novel TFETI implementation in FLLOP (FETI Light Layer on top of PETSc) library was used.
Year
DOI
Venue
2012
10.1007/978-3-642-36803-5_14
PARA
Keywords
Field
DocType
dual problem,pseudoinverse application,feti methods blend iterative,feti light layer,parallel implementation,novel tfeti implementation,coarse problem solution,projector application,direct solvers,dual operator,auxiliary problem,domain decomposition,feti,pseudoinverse
FETI,Massively parallel,System matrix,Computer science,Parallel computing,Moore–Penrose pseudoinverse,Projector,Duality (optimization),Operator (computer programming),Domain decomposition methods
Conference
Volume
ISSN
Citations 
7782
0302-9743
6
PageRank 
References 
Authors
0.60
6
3
Name
Order
Citations
PageRank
Václav Hapla1225.30
David Horák2356.79
Michal Merta3175.12