dc.contributor.author | Budisa, Ana | |
dc.contributor.author | Boon, Wietse | |
dc.contributor.author | Hu, Xiaozhe | |
dc.date.accessioned | 2021-08-03T08:58:27Z | |
dc.date.available | 2021-08-03T08:58:27Z | |
dc.date.created | 2020-12-17T18:19:18Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0036-1445 | |
dc.identifier.uri | https://hdl.handle.net/11250/2765958 | |
dc.description.abstract | This work introduces nodal auxiliary space preconditioners for discretizations of mixed-dimensional partial differential equations. We first consider the continuous setting and generalize the regular decomposition to this setting. With the use of conforming mixed finite element spaces, we then expand these results to the discrete case and obtain a decomposition in terms of nodal Lagrange elements. In turn, nodal preconditioners are proposed analogous to the auxiliary space preconditioners of Hiptmair and Xu [SIAM J. Numer. Anal., 45 (2007), pp. 2483--2509]. Numerical experiments show the performance of this preconditioner in the context of flow in fractured porous media. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | SIAM | en_US |
dc.title | Mixed-dimensional auxiliary space preconditioners | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2020, Society for Industrial and Applied Mathematics | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |
dc.identifier.doi | 10.1137/19M1292618 | |
dc.identifier.cristin | 1861277 | |
dc.source.journal | SIAM Review | en_US |
dc.source.pagenumber | A3367–A3396 | en_US |
dc.identifier.citation | SIAM Review. 2020, 42 (5), A3367–A3396. | en_US |
dc.source.volume | 42 | en_US |
dc.source.issue | 5 | en_US |