Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/115442
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ferreira, J. A. | - |
dc.contributor.author | Pena, G. | - |
dc.date.accessioned | 2024-06-05T13:27:37Z | - |
dc.date.available | 2024-06-05T13:27:37Z | - |
dc.date.issued | 2024-08 | - |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.uri | https://hdl.handle.net/10316/115442 | - |
dc.description.abstract | This paper aims to present in a systematic form the stability and convergence analysis of a numerical method defined in nonuniform grids for nonlinear elliptic and parabolic convection– diffusion–reaction equations with Neumann boundary conditions. The method proposed can be seen simultaneously as a finite difference scheme and as a fully discrete piecewise linear finite element method. We establish second convergence order with respect to a discrete 𝐻1 norm which shows that the method is simultaneously supraconvergent and superconvergent. Numerical results to illustrate the theoretical results are included. | pt |
dc.language.iso | eng | pt |
dc.relation | UIDB/00324/2020 | pt |
dc.rights | closedAccess | pt |
dc.subject | Finite difference method | pt |
dc.subject | Finite element method | pt |
dc.subject | Nonuniform grid | pt |
dc.subject | Error analysis | pt |
dc.subject | Nonlinear convection–diffusion–reaction | pt |
dc.subject | Homogeneous Neumann boundary conditions | pt |
dc.title | FDM/FEM for nonlinear convection–diffusion–reaction equations with Neumann b.oundary conditions—Convergence analysis for smooth and nonsmooth solutions | pt |
dc.type | article | pt |
degois.publication.firstPage | 115866 | pt |
degois.publication.title | Journal of Computational and Applied Mathematics | pt |
dc.date.updated | 2024-06-04T09:58:26Z | - |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0377042724001158?via%3Dihub | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.1016/j.cam.2024.115866 | - |
degois.publication.volume | 446 | pt |
dc.description.version | 2F19-91D3-6B32 | Gonçalo Nuno Travassos Borges Alves da Pena | - |
dc.description.version | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.slug | cv-prod-4072401 | - |
dc.date.embargo | 2024-08-01 | * |
uc.date.periodoEmbargo | 0 | pt |
item.openairetype | article | - |
item.fulltext | Com Texto completo | - |
item.languageiso639-1 | en | - |
item.grantfulltext | reserved | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0003-0552-8069 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | Login |
---|---|---|---|---|
2024_Ferreira_Pena.pdf | 704.29 kB | Adobe PDF | Request a copy |
Page view(s)
33
checked on Jul 17, 2024
Download(s)
1
checked on Jul 17, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.