Show simple item record

Finite element analysis of an exponentially graded mesh for singularly perturbed problems

dc.contributor.authorConstantinou, P.en
dc.contributor.authorXenophontos, Christos A.en
dc.creatorConstantinou, P.en
dc.creatorXenophontos, Christos A.en
dc.date.accessioned2019-12-02T10:34:35Z
dc.date.available2019-12-02T10:34:35Z
dc.date.issued2015
dc.identifier.issn1609-4840
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/56675
dc.description.abstractWe present the mathematical analysis for the convergence of an h version Finite Element Method (FEM) with piecewise polynomials of degree p ≥ 1, defined on an exponentially graded mesh. The analysis is presented for a singularly perturbed reaction-diffusion and a convection-diffusion equation in one dimension. We prove convergence of optimal order and independent of the singular perturbation parameter, when the error is measured in the natural energy norm associated with each problem. Numerical results comparing the exponential mesh with the Bakhvalov-Shishkin mesh from the literature are also presented. © 2015 by De Gruyter.en
dc.sourceComputational Methods in Applied Mathematicsen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84926632494&doi=10.1515%2fcmam-2015-0002&partnerID=40&md5=58f9df189473d2a50276351707771679
dc.subjectMathematical analysisen
dc.subjectPerturbation techniquesen
dc.subjectDiffusion in liquidsen
dc.subjectFinite Element Methoden
dc.subjectSingular perturbationsen
dc.subjectSingularly perturbed problemen
dc.subjectBoundary Layersen
dc.subjectConvection-diffusion equationsen
dc.subjectExponentially Graded Meshen
dc.subjectGraded meshesen
dc.subjectPiecewise polynomialsen
dc.subjectReaction diffusionen
dc.subjectSingularly perturbeden
dc.titleFinite element analysis of an exponentially graded mesh for singularly perturbed problemsen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1515/cmam-2015-0002
dc.description.volume15
dc.description.issue2
dc.description.startingpage135
dc.description.endingpage143
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.description.notes<p>Cited By :5</p>en
dc.source.abbreviationComput.Methods Appl.Math.en
dc.contributor.orcidXenophontos, Christos A. [0000-0003-0862-3977]
dc.gnosis.orcid0000-0003-0862-3977


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record