dc.contributor.author | Bause, Markus | |
dc.contributor.author | Both, Jakub | |
dc.contributor.author | Radu, Florin Adrian | |
dc.date.accessioned | 2022-04-21T07:16:05Z | |
dc.date.available | 2022-04-21T07:16:05Z | |
dc.date.created | 2020-12-22T12:45:35Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 1439-7358 | |
dc.identifier.uri | https://hdl.handle.net/11250/2991803 | |
dc.description.abstract | We present an iterative coupling scheme for the numerical approximation of the mixed hyperbolic-parabolic system of fully dynamic poroelasticity. We prove its convergence in the Banach space setting for an abstract semi-discretization in time that allows the application of the family of diagonally implicit Runge–Kutta methods. Recasting the semi-discrete solution as the minimizer of a properly defined energy functional, the proof of convergence uses its alternating minimization. The scheme is closely related to the undrained split for the quasi-static Biot system. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.title | Iterative Coupling for Fully Dynamic Poroelasticity | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | acceptedVersion | en_US |
dc.rights.holder | Copyright Springer Nature Switzerland AG 2021 | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |
dc.identifier.doi | 10.1007/978-3-030-55874-1_10 | |
dc.identifier.cristin | 1862792 | |
dc.source.journal | Lecture Notes in Computational Science and Engineering | en_US |
dc.source.pagenumber | 115–123 | en_US |
dc.relation.project | Norges forskningsråd: 294716 | en_US |
dc.identifier.citation | Lecture Notes in Computational Science and Engineering. 2021, 139, 115–123. | en_US |
dc.source.volume | 139 | en_US |