Adaptive-Multilevel BDDC and its parallel implementation
| dc.contributor.author | Sousedík, Bedřich | |
| dc.contributor.author | Šístek, Jakub | |
| dc.contributor.author | Mandel, Jan | |
| dc.date.accessioned | 2021-11-17T19:35:36Z | |
| dc.date.available | 2021-11-17T19:35:36Z | |
| dc.date.issued | 2013-12 | |
| dc.description.abstract | We combine the adaptive and multilevel approaches to the BDDC and formulate a method which allows an adaptive selection of constraints on each decomposition level. We also present a strategy for the solution of local eigenvalue problems in the adaptive algorithm using the LOBPCG method with a preconditioner based on standard components of the BDDC. The effectiveness of the method is illustrated on several engineering problems. It appears that the Adaptive-Multilevel BDDC algorithm is able to effectively detect troublesome parts on each decomposition level and improve convergence of the method. The developed open-source parallel implementation shows a good scalability as well as applicability to very large problems and core counts. | |
| dc.description.sponsorship | We would like to thank to Jaroslav Novotn´y, Jan Leˇstina, Radim Blaheta, and Jiˇr´ı Star´y for providing data of real engineering problems. This work was supported in part by National Science Foundation under grant DMS-1216481, by Czech Science Foundation under grant GA CR 106/08/0403, ˇ and by the Academy of Sciences of the Czech Republic through RVO:67985840. B. Soused´ık acknowledges support from the DOE/ASCR and the NSF PetaApps award number 0904754. J. S´ıstek acknowledges the computing time on ˇ Hector supercomputer provided by the PRACE-DECI initiative. A part of the work was done at the University of Colorado Denver when B. Soused´ık was a graduate student and during visits of J. S´ıstek, partly supported by the Czech-American ˇ Cooperation program of the Ministry of Education, Youth and Sports of the Czech Republic under research project LH11004. | en_US |
| dc.description.uri | https://www.springerprofessional.de/en/adaptive-multilevel-bddc-and-its-parallel-implementation/11668922 | en_US |
| dc.format.extent | 37 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.identifier.citation | Sousedík, Bedřich, Jakub Šístek, and Jan Mandel. Adaptive-Multilevel BDDC and its parallel implementation. Computing 2013, no. 12. | en_US |
| dc.identifier.uri | http://hdl.handle.net/11603/23369 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | en_US |
| dc.title | Adaptive-Multilevel BDDC and its parallel implementation | en_US |
| dc.type | Text | en_US |
| dcterms.creator | https://orcid.org/0000-0002-8053-8956 | en_US |