Inexact and primal multilevel FETI-DP methods: a multilevel extension and interplay with BDDC
| dc.contributor.author | Sousedik, Bedrich | |
| dc.date.accessioned | 2022-07-12T21:06:50Z | |
| dc.date.available | 2022-07-12T21:06:50Z | |
| dc.date.issued | 2022-06-07 | |
| dc.description.abstract | We study a framework that allows to solve the coarse problem in the FETI-DP method approximately. It is based on the saddle-point formulation of the FETI-DP system with a block-triangular preconditioner. One of the blocks approximates the coarse problem, for which we use the multilevel BDDC method as the main tool. This strategy then naturally leads to a version of multilevel FETI-DP method, and we show that the spectra of the multilevel FETI-DP and BDDC preconditioned operators are essentially the same. The theory is illustrated by a set of numerical experiments, and we also present a few experiments when the coarse solve is approximated by algebraic multigrid. | en_US |
| dc.description.sponsorship | The work was supported by the U.S. National Science Foundation under award DMS1913201. | en_US |
| dc.description.uri | https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.7057 | en_US |
| dc.format.extent | 19 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.genre | preprints | en_US |
| dc.identifier | doi:10.13016/m2wlqy-hrsr | |
| dc.identifier.citation | Sousedík, B. Inexact and primal multilevel FETI-DP methods: a multilevel extension and interplay with BDDC. Int J Numer Methods Eng. 2022; 1- 15. doi:10.1002/nme.7057 | |
| dc.identifier.uri | https://doi.org/10.1002/nme.7057 | |
| dc.identifier.uri | http://hdl.handle.net/11603/25145 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Wiley | |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This is the pre-peer reviewed version of the following article: Sousedík, B. Inexact and primal multilevel FETI-DP methods: a multilevel extension and interplay with BDDC. Int J Numer Methods Eng. 2022; 1- 15. doi:10.1002/nme.7057, which has been published in final form at https://doi.org/10.1002/nme.7057. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions | en_US |
| dc.title | Inexact and primal multilevel FETI-DP methods: a multilevel extension and interplay with BDDC | en_US |
| dc.type | Text | en_US |
| dcterms.creator | https://orcid.org/0000-0002-8053-8956 | en_US |