Show simple item record

Optimal mesh design for the finite element approximation of reaction-diffusion problems

dc.contributor.authorXenophontos, Christos A.en
dc.creatorXenophontos, Christos A.en
dc.date.accessioned2019-12-02T10:38:51Z
dc.date.available2019-12-02T10:38:51Z
dc.date.issued2002
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57775
dc.description.abstractWe consider the numerical approximation of singularly perturbed problems, and in particular reactiondiffusion problems, by the h version of the finite element method. We present guidelines on how to design non-uniform meshes both in one and two dimensions that are asymptotically optimal as the mesh-width tends to zero. We also present the results of numerical computations showing that robust, optimal rates can be achieved even in the pre-asymptotic range. Copyright © 2001 John Wiley and Sons, Ltd.en
dc.sourceInternational Journal for Numerical Methods in Engineeringen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-0037050718&doi=10.1002%2fnme.318&partnerID=40&md5=e3f0dbdd4119c021f9ff500084902b26
dc.subjectProblem solvingen
dc.subjectComputational methodsen
dc.subjectApproximation theoryen
dc.subjectPerturbation techniquesen
dc.subjectDiffusionen
dc.subjectFinite element methoden
dc.subjectReaction kineticsen
dc.subjectExponentially graded meshen
dc.subjectOptimal mesh designsen
dc.subjectReaction diffusion problemsen
dc.subjectreaction-diffusion equationen
dc.subjectSingulary perturbed reaction-diffusion problemen
dc.titleOptimal mesh design for the finite element approximation of reaction-diffusion problemsen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1002/nme.318
dc.description.volume53
dc.description.issue4
dc.description.startingpage929
dc.description.endingpage943
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 :15</p>en
dc.source.abbreviationInt J Numer Methods Engen
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