dc.contributor.author | Xenophontos, Christos A. | en |
dc.contributor.author | Oberbroeckling, L. | en |
dc.creator | Xenophontos, Christos A. | en |
dc.creator | Oberbroeckling, L. | en |
dc.date.accessioned | 2019-12-02T10:38:54Z | |
dc.date.available | 2019-12-02T10:38:54Z | |
dc.date.issued | 2007 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57788 | |
dc.description.abstract | We consider the approximation of singularly perturbed systems of reaction-diffusion problems, with the finite element method. The solution to such problems contains boundary layers which overlap and interact, and the numerical approximation must take this into account in order for the resulting scheme to converge uniformly with respect to the singular perturbation parameters. In this article we conduct a numerical study of several finite element methods applied to a model problem, having as our goal their assessment and the identification of a high order scheme which approximates the solution at an exponential rate of convergence, independently of the singular perturbation parameters. © 2006 Elsevier Inc. All rights reserved. | en |
dc.source | Applied Mathematics and Computation | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-34247229602&doi=10.1016%2fj.amc.2006.09.044&partnerID=40&md5=2e806294c51a1aedde96efc4dcd86cad | |
dc.subject | Problem solving | en |
dc.subject | Mathematical models | en |
dc.subject | Approximation theory | en |
dc.subject | Perturbation techniques | en |
dc.subject | Asymptotic stability | en |
dc.subject | Finite element method | en |
dc.subject | Boundary layers | en |
dc.subject | Exponential rates | en |
dc.subject | Perturbation parameters | en |
dc.subject | Singularly perturbed system | en |
dc.subject | Shishkin mesh | en |
dc.subject | hp version | en |
dc.subject | Shishkin meshes | en |
dc.subject | Singularly perturbed systems | en |
dc.title | A numerical study on the finite element solution of singularly perturbed systems of reaction-diffusion problems | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.amc.2006.09.044 | |
dc.description.volume | 187 | |
dc.description.issue | 2 | |
dc.description.startingpage | 1351 | |
dc.description.endingpage | 1367 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :19</p> | en |
dc.source.abbreviation | Appl.Math.Comput. | en |
dc.contributor.orcid | Xenophontos, Christos A. [0000-0003-0862-3977] | |
dc.gnosis.orcid | 0000-0003-0862-3977 | |