Recent advances in domain decomposition methods for large-scale saddle point problems
Scalability of parallel solvers for problems with high heterogeneities relies on adaptive coarse spaces built from generalized eigenvalue problems in the subdomains. The corresponding theory is powerful and flexible but the development of an efficient parallel implementation is challenging. We repor...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2022-10-01
|
| Series: | Comptes Rendus. Mécanique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.130/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825205975635722240 |
|---|---|
| author | Nataf, Frédéric Tournier, Pierre-Henri |
| author_facet | Nataf, Frédéric Tournier, Pierre-Henri |
| author_sort | Nataf, Frédéric |
| collection | DOAJ |
| description | Scalability of parallel solvers for problems with high heterogeneities relies on adaptive coarse spaces built from generalized eigenvalue problems in the subdomains. The corresponding theory is powerful and flexible but the development of an efficient parallel implementation is challenging. We report here on recent advances in adaptive coarse spaces and on their open source implementations in domain specific languages such as FreeFem, focusing on a new domain decomposition for saddle point formulations with some numerical tests. |
| format | Article |
| id | doaj-art-02c69eef35bb47b79403332931d1b332 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2022-10-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-02c69eef35bb47b79403332931d1b3322025-02-07T13:45:36ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342022-10-01350S1597310.5802/crmeca.13010.5802/crmeca.130Recent advances in domain decomposition methods for large-scale saddle point problemsNataf, Frédéric0https://orcid.org/0000-0003-2813-3481Tournier, Pierre-Henri1https://orcid.org/0000-0002-7406-108XLaboratoire J.L. Lions, Sorbonne Université, 4 place Jussieu, FranceLaboratoire J.L. Lions, Sorbonne Université, 4 place Jussieu, FranceScalability of parallel solvers for problems with high heterogeneities relies on adaptive coarse spaces built from generalized eigenvalue problems in the subdomains. The corresponding theory is powerful and flexible but the development of an efficient parallel implementation is challenging. We report here on recent advances in adaptive coarse spaces and on their open source implementations in domain specific languages such as FreeFem, focusing on a new domain decomposition for saddle point formulations with some numerical tests.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.130/High performance computingSaddle point problemDomain decomposition methodsNearly incompressible elasticityMultilevel methods |
| spellingShingle | Nataf, Frédéric Tournier, Pierre-Henri Recent advances in domain decomposition methods for large-scale saddle point problems Comptes Rendus. Mécanique High performance computing Saddle point problem Domain decomposition methods Nearly incompressible elasticity Multilevel methods |
| title | Recent advances in domain decomposition methods for large-scale saddle point problems |
| title_full | Recent advances in domain decomposition methods for large-scale saddle point problems |
| title_fullStr | Recent advances in domain decomposition methods for large-scale saddle point problems |
| title_full_unstemmed | Recent advances in domain decomposition methods for large-scale saddle point problems |
| title_short | Recent advances in domain decomposition methods for large-scale saddle point problems |
| title_sort | recent advances in domain decomposition methods for large scale saddle point problems |
| topic | High performance computing Saddle point problem Domain decomposition methods Nearly incompressible elasticity Multilevel methods |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.130/ |
| work_keys_str_mv | AT nataffrederic recentadvancesindomaindecompositionmethodsforlargescalesaddlepointproblems AT tournierpierrehenri recentadvancesindomaindecompositionmethodsforlargescalesaddlepointproblems |