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http://hdl.handle.net/1942/41884
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DC Field | Value | Language |
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dc.contributor.author | Stokke, Jakob S. | - |
dc.contributor.author | MITRA, Koondanibha | - |
dc.contributor.author | STORVIK, Erlend | - |
dc.contributor.author | BOTH, Jakub | - |
dc.contributor.author | Radu, Florin A. | - |
dc.date.accessioned | 2023-11-27T08:22:48Z | - |
dc.date.available | 2023-11-27T08:22:48Z | - |
dc.date.issued | 2023 | - |
dc.date.submitted | 2023-11-27T07:51:57Z | - |
dc.identifier.citation | COMPUTERS & MATHEMATICS WITH APPLICATIONS, 152 , p. 155 -167 | - |
dc.identifier.issn | 0898-1221 | - |
dc.identifier.uri | http://hdl.handle.net/1942/41884 | - |
dc.description.abstract | Flow in variably saturated porous media is typically modeled by the Richards equation, a nonlinear elliptic parabolic equation which is notoriously challenging to solve numerically. In this paper, we propose a robust and fast iterative solver for Richards' equation. The solver relies on an adaptive switching algorithm, based on rigorously derived a posteriori indicators, between two linearization methods: L-scheme and Newton. Although a combined L-scheme/Newton strategy was introduced previously in [1], here, for the first time we propose a reliable and robust criteria for switching between these schemes. The performance of the solver, which can be in principle applied to any spatial discretization and linearization methods, is illustrated through several numerical examples. | - |
dc.description.sponsorship | JSS and FAR acknowledge the support of the VISTA program, The Norwegian Academy of Science and Letters and Equinor, JWB is funded in part through the Center of Sustainable Subsurface Resources (Norwegian Research Council project 331841) and the ‘FracFlow’ project funded by Equinor, Norway through Akademiaavtalen. KM acknowledges the support of FWO (Fonds Wetenschappelijk Onderzoek) for funding him through the ‘Junior Postdoctoral Fellowship’ (project code 1209322N) and to Akademiaavtalen for funding his visit to the University of Bergen. | - |
dc.language.iso | en | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.rights | 2023 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). | - |
dc.subject.other | Richards equation | - |
dc.subject.other | Linearisation schemes | - |
dc.subject.other | Newton methodL-scheme | - |
dc.subject.other | Flow in porous media | - |
dc.subject.other | Finite elements | - |
dc.title | An adaptive solution strategy for Richards' equation | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 167 | - |
dc.identifier.spage | 155 | - |
dc.identifier.volume | 152 | - |
local.format.pages | 13 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Radu, FA (corresponding author), Univ Bergen, Ctr Modeling Coupled Subsurface Dynam, Dept Math, Bergen, Norway. | - |
dc.description.notes | florin.radu@uib.no | - |
local.publisher.place | THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1016/j.camwa.2023.10.020 | - |
dc.identifier.isi | 001094493100001 | - |
dc.identifier.eissn | 1873-7668 | - |
local.provider.type | wosris | - |
local.description.affiliation | [Stokke, Jakob S.; Storvik, Erlend; Both, Jakub W.; Radu, Florin A.] Univ Bergen, Ctr Modeling Coupled Subsurface Dynam, Dept Math, Bergen, Norway. | - |
local.description.affiliation | [Mitra, Koondanibha] Hasselt Univ, Computat Math Grp, Hasselt, Belgium. | - |
local.description.affiliation | [Storvik, Erlend] Western Norway Univ Appl Sci, Dept Comp Sci Elect Engn & Math Sci, Forde, Norway. | - |
local.uhasselt.international | yes | - |
item.fulltext | With Fulltext | - |
item.contributor | Stokke, Jakob S. | - |
item.contributor | MITRA, Koondanibha | - |
item.contributor | STORVIK, Erlend | - |
item.contributor | BOTH, Jakub | - |
item.contributor | Radu, Florin A. | - |
item.fullcitation | Stokke, Jakob S.; MITRA, Koondanibha; STORVIK, Erlend; BOTH, Jakub & Radu, Florin A. (2023) An adaptive solution strategy for Richards' equation. In: COMPUTERS & MATHEMATICS WITH APPLICATIONS, 152 , p. 155 -167. | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 0898-1221 | - |
crisitem.journal.eissn | 1873-7668 | - |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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An-adaptive-solution-strategy-for-Richar_2023_Computers---Mathematics-with-A.pdf | Published version | 775.55 kB | Adobe PDF | View/Open |
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