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http://hdl.handle.net/1942/33031
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DC Field | Value | Language |
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dc.contributor.author | BASTIDAS OLIVARES, Manuela | - |
dc.contributor.author | BRINGEDAL, Carina | - |
dc.contributor.author | POP, Sorin | - |
dc.contributor.author | Radu, Florin Adrian | - |
dc.date.accessioned | 2021-01-05T08:48:05Z | - |
dc.date.available | 2021-01-05T08:48:05Z | - |
dc.date.issued | 2021 | - |
dc.date.submitted | 2020-12-30T09:51:56Z | - |
dc.identifier.citation | JOURNAL OF COMPUTATIONAL PHYSICS, 425 (Art N° 109903) | - |
dc.identifier.issn | 0021-9991 | - |
dc.identifier.uri | http://hdl.handle.net/1942/33031 | - |
dc.description.abstract | We propose an efficient numerical strategy for solving non-linear parabolic problems defined in a heterogeneous porous medium. This scheme is based on the classical homogenization theory and uses a locally mass-conservative formulation at different scales. In addition, we discuss some properties of the proposed non-linear solvers and use an error indicator to perform a local mesh refinement. The main idea is to compute the effective parameters in such a way that the computational complexity is reduced but preserving the accuracy. We illustrate the behavior of the homogenization scheme and of the non-linear solvers by performing two numerical tests. We consider both a quasi-periodic example and a problem involving strong heterogeneities in a non-periodic medium. | - |
dc.description.sponsorship | The authors gratefully acknowledge financial support from the Research Foundation - Flanders (FWO) through the Odysseus programme (Project G0G1316N). In addition, we wish to thank Professor Mary F. Wheeler and Professor Ivan Yotov who made valuable suggestions or who have otherwise contributed to the ideas behind this manuscript. Part of this work was elaborated during the stay of the first author at the University of Bergen, supported by the Research Foundation - Flanders (FWO), through a travel grant for a short stay abroad. We thank the referees for their valuable comments that helped improving this work | - |
dc.language.iso | en | - |
dc.publisher | Elsevier | - |
dc.rights | 2020 Elsevier Inc. All rights reserved | - |
dc.subject.other | Flow in porous media | - |
dc.subject.other | Homogenization | - |
dc.subject.other | Mesh refinement | - |
dc.subject.other | Non-linear solvers | - |
dc.subject.other | MFEM | - |
dc.title | Numerical homogenization of non-linear parabolic problems on adaptive meshes | - |
dc.type | Journal Contribution | - |
dc.identifier.volume | 425 | - |
local.bibliographicCitation.jcat | A1 | - |
local.publisher.place | 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
local.bibliographicCitation.artnr | 109903 | - |
dc.identifier.doi | 10.1016/j.jcp.2020.109903 | - |
dc.identifier.isi | WOS:000630256300019 | - |
dc.identifier.eissn | 1090-2716 | - |
local.provider.type | CrossRef | - |
local.uhasselt.uhpub | yes | - |
local.uhasselt.international | yes | - |
item.validation | ecoom 2022 | - |
item.accessRights | Restricted Access | - |
item.fullcitation | BASTIDAS OLIVARES, Manuela; BRINGEDAL, Carina; POP, Sorin & Radu, Florin Adrian (2021) Numerical homogenization of non-linear parabolic problems on adaptive meshes. In: JOURNAL OF COMPUTATIONAL PHYSICS, 425 (Art N° 109903). | - |
item.fulltext | With Fulltext | - |
item.contributor | BASTIDAS OLIVARES, Manuela | - |
item.contributor | BRINGEDAL, Carina | - |
item.contributor | POP, Sorin | - |
item.contributor | Radu, Florin Adrian | - |
crisitem.journal.issn | 0021-9991 | - |
crisitem.journal.eissn | 1090-2716 | - |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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1s20S002199912030677X-main.pdf Restricted Access | Published version | 3.38 MB | Adobe PDF | View/Open Request a copy |
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