dc.contributor.author | Xenophontos, Christos A. | en |
dc.creator | Xenophontos, Christos A. | en |
dc.date.accessioned | 2019-12-02T10:38:51Z | |
dc.date.available | 2019-12-02T10:38:51Z | |
dc.date.issued | 2003 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57774 | |
dc.description.abstract | We consider the numerical approximation of singularly perturbed problems by the h version of the finite element method on a piecewise uniform, Shishkin mesh. It is well known that this method yields uniform approximations, with respect to the perturbation parameter, at a quasi-optimal algebraic convergence rate. In this note we show that the known rate is asymptotically sharp (as the meshwidth h→0), by obtaining lower and upper bounds on the error. Numerical results that agree with the analysis are presented, as are comparisons with certain other non-uniform mesh strategies. © 2002 Elsevier Science Inc. All rights reserved. | en |
dc.source | Applied Mathematics and Computation | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0038284888&doi=10.1016%2fS0096-3003%2802%2900338-7&partnerID=40&md5=648278ad639cb44bf565261193985142 | |
dc.subject | Approximation theory | en |
dc.subject | Perturbation techniques | en |
dc.subject | Error analysis | en |
dc.subject | Convergence of numerical methods | en |
dc.subject | Heat transfer | en |
dc.subject | Finite element method | en |
dc.subject | Boundary value problems | en |
dc.subject | Fluid dynamics | en |
dc.subject | Singularly perturbed problem | en |
dc.subject | Shishkin mesh | en |
dc.subject | Singularly perturbed problems | en |
dc.title | A note on the convergence rate of the finite element method for singularly perturbed problems using the Shishkin mesh | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/S0096-3003(02)00338-7 | |
dc.description.volume | 142 | |
dc.description.issue | 2-3 | |
dc.description.startingpage | 545 | |
dc.description.endingpage | 559 | |
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 :3</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 | |