Publication
Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem
| dc.contributor.author | Lopes, N.D. | |
| dc.contributor.author | de Oliveira, H. B. | |
| dc.date.accessioned | 2021-10-01T16:19:19Z | |
| dc.date.available | 2021-10-01T16:19:19Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | We introduce a Continuous/Discontinuous Galerkin Finite Element Method (CDFEM) with interior penalty terms to solve a nonlinear fourth-order problem that appears in the analysis of the confinement of fluid flows governed by the Stokes system. For the associated continuous and discrete problems, we prove the existence and uniqueness of weak solutions. Consistency, stability and convergence of the method are shown analytically. To show the applicability and robustness of the numerical model, several test cases are performed. | pt_PT |
| dc.description.sponsorship | IPL - Politecnico de Lisboa IPL/2019/MathMould_ISEL; Portuguese Foundation for Science and Technology UID/MAT/04561/2019 | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1016/j.camwa.2021.05.034 | pt_PT |
| dc.identifier.issn | 0898-1221 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/17184 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.relation | Center for Mathematics, Fundamental Applications and Operations Research | |
| dc.subject | 2d Stokes problem | pt_PT |
| dc.subject | Feedback forces | pt_PT |
| dc.subject | CDFEM | pt_PT |
| dc.subject | Existence and uniqueness | pt_PT |
| dc.subject | Consistency and stability | pt_PT |
| dc.subject | Error analysis | pt_PT |
| dc.title | Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Center for Mathematics, Fundamental Applications and Operations Research | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F04561%2F2019/PT | |
| oaire.citation.endPage | 152 | pt_PT |
| oaire.citation.startPage | 122 | pt_PT |
| oaire.citation.title | Computers & Mathematics with Applications | pt_PT |
| oaire.citation.volume | 97 | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Borges de Oliveira | |
| person.givenName | Hermenegildo | |
| person.identifier.ciencia-id | 4A15-7156-6A00 | |
| person.identifier.orcid | 0000-0001-9053-8442 | |
| person.identifier.rid | F-3186-2014 | |
| person.identifier.scopus-author-id | 7004475473 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | restrictedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 6f0df0e9-24bf-43d5-97b3-4a709a59e2b5 | |
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