Publication
Discrete solutions for the porous medium equation with absorption and variable exponents
| dc.contributor.author | Almeida, Rui M.P. | |
| dc.contributor.author | Antontsev, Stanislav N. | |
| dc.contributor.author | Duque, José C. M. | |
| dc.date.accessioned | 2020-02-06T17:20:45Z | |
| dc.date.available | 2020-02-06T17:20:45Z | |
| dc.date.issued | 2017-07 | |
| dc.description.abstract | In this work, we study the convergence of the finite element method when applied to the following parabolic equation: Since the equation may be of degenerate type, we use an approximate problem, regularized by introducing a parameter ε. We prove, under certain conditions on γ, σ and f, that the weak solution of the approximate problem converges to the weak solution of the initial problem, when the parameter ε tends to zero. The convergence of the discrete solutions for the weak solution of the approximate problem is also proved. Finally, we present some numerical results of a MatLab implementation of the method. | pt_PT |
| dc.description.sponsorship | No¯ 15-11-20019–financed by the Russian Science Foundation, Russia | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1016/j.matcom.2016.12.008 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.6/9089 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Elsevier B.V. | pt_PT |
| dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0378475417300071 | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.subject | Porous medium equation | pt_PT |
| dc.subject | Finite element method | pt_PT |
| dc.subject | Variable exponents | pt_PT |
| dc.title | Discrete solutions for the porous medium equation with absorption and variable exponents | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00212%2F2013/PT | |
| oaire.citation.endPage | 129 | pt_PT |
| oaire.citation.startPage | 109 | pt_PT |
| oaire.citation.title | Mathematics and Computers in Simulation | pt_PT |
| oaire.citation.volume | 137 | pt_PT |
| oaire.fundingStream | 5876 | |
| person.familyName | Almeida | |
| person.familyName | Duque | |
| person.givenName | Rui | |
| person.givenName | José | |
| person.identifier.ciencia-id | 0019-4741-59E6 | |
| person.identifier.ciencia-id | 3F13-1743-F458 | |
| person.identifier.orcid | 0000-0003-3976-1571 | |
| person.identifier.orcid | 0000-0002-2347-639X | |
| person.identifier.rid | H-3861-2015 | |
| person.identifier.scopus-author-id | 56013962900 | |
| person.identifier.scopus-author-id | 56014111400 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.embargofct | Copyright cedido à editora no momento da publicação | pt_PT |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
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