Matches in SemOpenAlex for { <https://semopenalex.org/work/W2281342684> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W2281342684 abstract "This thesis presents a set of numerical schemes that aim at solving large linear systems on parallel computers. The proposed approaches are part of a hybrid scheme where the direct and iterative methods are combined through domain decomposition techniques. The initial problem is first divided into subproblems by partitioning the coefficient graph of the system. The Schwarz-based methods are then used as preconditioners for GMRES-based Krylov methods. We first consider a hybrid scheme using an explicit formulation of the multiplicative Schwarz preconditioner. We define two levels of data parallelism : the first level has been used to parallelize the GMRES method at the global level; we introduce the second level to solve the subsystems induced by the Schwarz preconditioner through a parallel direct method. We show that this splitting guarantee a certain robustness in the global hybrid approach by reducing the total number of partitions. Moreover, this approach enables a better usage of CPU resources allocated inside a compute node. Then we study the convergence and the parallelism in the GMRES method which is used as the global accelerator in the hybrid method. The general observation is that the number of iterations in that method increases very fast with the number of partitions in the hybrid solver, and so the total CPU time. To limit this effect, we propose several implementations of the GMRES method with the deflation methods. These approaches formulate a deflation process either as an adaptive preconditioner or an augmented subspace basis technique. We show the usefulness of these approaches in their ability to limit the influence of the right choice of the Krylov basis size, and thus to avoid the stagnation of the global hybrid solver. Moreover, these approaches are very efficient to reduce the memory usage as well as the global CPU time and also the exchanged MPI messages between the working processors. The benefits are given throughout this thesis on moderate to large linear systems arising from several applications fields, and mainly from design optimisation in computational fluid dynamics." @default.
- W2281342684 created "2016-06-24" @default.
- W2281342684 creator A5030634255 @default.
- W2281342684 date "2011-12-07" @default.
- W2281342684 modified "2023-09-23" @default.
- W2281342684 title "Parallelism and robustness in hybrid solvers for large linear systems : Application to design optimization in fluid dynamics" @default.
- W2281342684 hasPublicationYear "2011" @default.
- W2281342684 type Work @default.
- W2281342684 sameAs 2281342684 @default.
- W2281342684 citedByCount "0" @default.
- W2281342684 crossrefType "dissertation" @default.
- W2281342684 hasAuthorship W2281342684A5030634255 @default.
- W2281342684 hasConcept C104317684 @default.
- W2281342684 hasConcept C11413529 @default.
- W2281342684 hasConcept C121332964 @default.
- W2281342684 hasConcept C126255220 @default.
- W2281342684 hasConcept C134306372 @default.
- W2281342684 hasConcept C135628077 @default.
- W2281342684 hasConcept C147060835 @default.
- W2281342684 hasConcept C155332342 @default.
- W2281342684 hasConcept C159694833 @default.
- W2281342684 hasConcept C167431342 @default.
- W2281342684 hasConcept C173608175 @default.
- W2281342684 hasConcept C185592680 @default.
- W2281342684 hasConcept C198880260 @default.
- W2281342684 hasConcept C2778770139 @default.
- W2281342684 hasConcept C31278502 @default.
- W2281342684 hasConcept C33923547 @default.
- W2281342684 hasConcept C41008148 @default.
- W2281342684 hasConcept C55493867 @default.
- W2281342684 hasConcept C63479239 @default.
- W2281342684 hasConcept C6802819 @default.
- W2281342684 hasConcept C97355855 @default.
- W2281342684 hasConceptScore W2281342684C104317684 @default.
- W2281342684 hasConceptScore W2281342684C11413529 @default.
- W2281342684 hasConceptScore W2281342684C121332964 @default.
- W2281342684 hasConceptScore W2281342684C126255220 @default.
- W2281342684 hasConceptScore W2281342684C134306372 @default.
- W2281342684 hasConceptScore W2281342684C135628077 @default.
- W2281342684 hasConceptScore W2281342684C147060835 @default.
- W2281342684 hasConceptScore W2281342684C155332342 @default.
- W2281342684 hasConceptScore W2281342684C159694833 @default.
- W2281342684 hasConceptScore W2281342684C167431342 @default.
- W2281342684 hasConceptScore W2281342684C173608175 @default.
- W2281342684 hasConceptScore W2281342684C185592680 @default.
- W2281342684 hasConceptScore W2281342684C198880260 @default.
- W2281342684 hasConceptScore W2281342684C2778770139 @default.
- W2281342684 hasConceptScore W2281342684C31278502 @default.
- W2281342684 hasConceptScore W2281342684C33923547 @default.
- W2281342684 hasConceptScore W2281342684C41008148 @default.
- W2281342684 hasConceptScore W2281342684C55493867 @default.
- W2281342684 hasConceptScore W2281342684C63479239 @default.
- W2281342684 hasConceptScore W2281342684C6802819 @default.
- W2281342684 hasConceptScore W2281342684C97355855 @default.
- W2281342684 hasOpenAccess W2281342684 @default.
- W2281342684 hasRelatedWork W1517353239 @default.
- W2281342684 hasRelatedWork W1523856771 @default.
- W2281342684 hasRelatedWork W1551860266 @default.
- W2281342684 hasRelatedWork W1562585319 @default.
- W2281342684 hasRelatedWork W2015668267 @default.
- W2281342684 hasRelatedWork W2063852529 @default.
- W2281342684 hasRelatedWork W2075504660 @default.
- W2281342684 hasRelatedWork W2089141510 @default.
- W2281342684 hasRelatedWork W2128399524 @default.
- W2281342684 hasRelatedWork W2375010470 @default.
- W2281342684 hasRelatedWork W2531704760 @default.
- W2281342684 hasRelatedWork W2564752240 @default.
- W2281342684 hasRelatedWork W2612499364 @default.
- W2281342684 hasRelatedWork W2623284126 @default.
- W2281342684 hasRelatedWork W2784395183 @default.
- W2281342684 hasRelatedWork W2890462359 @default.
- W2281342684 hasRelatedWork W2940970427 @default.
- W2281342684 hasRelatedWork W2972247700 @default.
- W2281342684 hasRelatedWork W3208781130 @default.
- W2281342684 hasRelatedWork W392993572 @default.
- W2281342684 isParatext "false" @default.
- W2281342684 isRetracted "false" @default.
- W2281342684 magId "2281342684" @default.
- W2281342684 workType "dissertation" @default.