On the Choice of Stabilizing Sub-Grid for Convection-Diffusion Problem on Rectangular Grids
| dc.contributor.author | Neslitürk, Ali İhsan | |
| dc.coverage.doi | 10.1016/j.camwa.2010.04.002 | |
| dc.date.accessioned | 2017-01-06T07:03:02Z | |
| dc.date.available | 2017-01-06T07:03:02Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | A stabilizing sub-grid which consists of a single additional node in each rectangular element is analyzed for solving the convection-diffusion problem, especially in the case of small diffusion. We provide a simple recipe for spotting the location of the additional node that contributes a very good stabilizing effect to the overall numerical method. We further study convergence properties of the method under consideration and prove that the standard Galerkin finite element solution on augmented grid produces a discrete solution that satisfies the same type of a priori error estimates that are typically obtained with the SUPG method. Some numerical experiments that confirm the theoretical findings are also presented. © 2010 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.citation | Neslitürk, A. İ. (2010). On the choice of stabilizing sub-grid for convection-diffusion problem on rectangular grids. Computers and Mathematics with Applications, 59(12), 3687-3699. doi:10.1016/j.camwa.2010.04.002 | en_US |
| dc.identifier.doi | 10.1016/j.camwa.2010.04.002 | en_US |
| dc.identifier.doi | 10.1016/j.camwa.2010.04.002 | |
| dc.identifier.issn | 0898-1221 | |
| dc.identifier.scopus | 2-s2.0-77953229268 | |
| dc.identifier.uri | http://doi.org/10.1016/j.camwa.2010.04.002 | |
| dc.identifier.uri | https://hdl.handle.net/11147/2729 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Ltd. | en_US |
| dc.relation.ispartof | Computers and Mathematics with Applications | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Diffusion in liquids | en_US |
| dc.subject | Heat convection | en_US |
| dc.subject | Finite element method | en_US |
| dc.subject | Convection-diffusion problem | en_US |
| dc.subject | Stabilized FEM | en_US |
| dc.title | On the Choice of Stabilizing Sub-Grid for Convection-Diffusion Problem on Rectangular Grids | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Neslitürk, Ali İhsan | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 3699 | en_US |
| gdc.description.issue | 12 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 3687 | en_US |
| gdc.description.volume | 59 | en_US |
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| gdc.oaire.keywords | Diffusion in liquids | |
| gdc.oaire.keywords | Finite element method | |
| gdc.oaire.keywords | Convection–diffusion problem | |
| gdc.oaire.keywords | Computational Mathematics | |
| gdc.oaire.keywords | Computational Theory and Mathematics | |
| gdc.oaire.keywords | Modelling and Simulation | |
| gdc.oaire.keywords | Stabilizing sub-grid | |
| gdc.oaire.keywords | Convection-diffusion problem | |
| gdc.oaire.keywords | Heat convection | |
| gdc.oaire.keywords | Stabilized FEM | |
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