Coupling parallel asynchronous multisplitting methods with Krylov methods to solve pseudo-linear evolution 3D problems

Affiliation auteurs!!!! Error affiliation !!!!
TitreCoupling parallel asynchronous multisplitting methods with Krylov methods to solve pseudo-linear evolution 3D problems
Type de publicationJournal Article
Year of Publication2021
AuteursGarcia T., Spiteri P., Ziane-Khodja L., Couturier R.
JournalJOURNAL OF COMPUTATIONAL SCIENCE
Volume51
Pagination101303
Date PublishedAPR
Type of ArticleArticle
ISSN1877-7503
Mots-clésAsynchronous parallel algorithms, Boundary value problem, Krylov methods, Multisplitting methods, Principle of discrete maximum, Pseudo-linear problem, Sparse non-linear systems, Synchronous parallel algorithms
Résumé

The present study deals with pseudo-linear problems solving using parallel asynchronous multisplitting methods combined with Krylov methods. With appropriate and realistic assumptions, the behavior of such parallel iterative algorithms will be analyzed by partial ordering techniques in relation with the discrete maximum principle. Applications to discretized boundary value problems are presented, the implementation of the algorithms is described and parallel experiments are analyzed.
DOI10.1016/j.jocs.2021.101303