dc.contributor.author | Borregales Reveron, Manuel Antonio | |
dc.contributor.author | Radu, Florin Adrian | |
dc.date.accessioned | 2020-06-15T08:42:47Z | |
dc.date.available | 2020-06-15T08:42:47Z | |
dc.date.issued | 2019 | |
dc.identifier.isbn | 978-3-319-96414-0 | en_US |
dc.identifier.issn | 1439-7358 | |
dc.identifier.uri | https://hdl.handle.net/1956/22586 | |
dc.description.abstract | In this work, we consider a non-linear extension of the linear, quasi-static Biot’s model. Precisely, we assume that the volumetric strain and the fluid compressibility are non-linear functions. We propose a fully discrete numerical scheme for this model based on higher order space-time elements. We use mixed finite elements for the flow equation, (continuous) Galerkin finite elements for the mechanics and discontinuous Galerkin for the time discretization. We further use the L-scheme for linearising the system appearing on each time step. The stability of this approach is illustrated by a numerical experiment. | en_US |
dc.language.iso | eng | eng |
dc.publisher | Springer | en_US |
dc.title | Higher order space-time elements for a non-linear Biot model | en_US |
dc.type | Journal article | |
dc.type | Peer reviewed | |
dc.date.updated | 2020-02-18T09:33:11Z | |
dc.description.version | acceptedVersion | en_US |
dc.rights.holder | Copyright Springer Nature Switzerland AG 2019 | en_US |
dc.identifier.doi | https://doi.org/10.1007/978-3-319-96415-7_49 | |
dc.identifier.cristin | 1657039 | |
dc.source.journal | Lecture Notes in Computational Science and Engineering | |
dc.source.pagenumber | 541–549 | |
dc.identifier.citation | Lecture Notes in Computational Science and Engineering. 2019, 126, 541–549. | |
dc.source.volume | 126 | |