A Parameter Robust Finite Element Method for Fourth Order Singularly Perturbed Problems
dc.contributor.author | Xenophontos, Christos A. | en |
dc.creator | Xenophontos, Christos A. | en |
dc.date.accessioned | 2019-12-02T10:38:50Z | |
dc.date.available | 2019-12-02T10:38:50Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 1609-4840 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57771 | |
dc.description.abstract | We consider fourth order singularly perturbed problems in one-dimension and the approximation of their solution by the h version of the finite element method. In particular, we use piecewise Hermite polynomials of degree p ≥ 3 p≥q 3 defined on an exponentially graded mesh. We show that the method converges uniformly, with respect to the singular perturbation parameter, at the optimal rate when the error is measured in both the energy norm and a stronger, 'balanced' norm. Finally, we illustrate our theoretical findings through numerical computations, including a comparison with another scheme from the literature. © 2017 by De Gruyter. | en |
dc.source | Computational Methods in Applied Mathematics | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85016749069&doi=10.1515%2fcmam-2016-0045&partnerID=40&md5=95ec541b2eb884b92fba82992aad7672 | |
dc.subject | Perturbation techniques | en |
dc.subject | Polynomials | en |
dc.subject | Finite Element Method | en |
dc.subject | Mesh generation | en |
dc.subject | Fourth order | en |
dc.subject | Singular perturbations | en |
dc.subject | Singularly perturbed problem | en |
dc.subject | Boundary Layers | en |
dc.subject | Exponentially Graded Mesh | en |
dc.subject | Graded meshes | en |
dc.subject | Numerical computations | en |
dc.subject | Fourth Order Singularly Perturbed Problem | en |
dc.subject | Hermite polynomials | en |
dc.subject | One dimension | en |
dc.subject | Uniform Convergence | en |
dc.title | A Parameter Robust Finite Element Method for Fourth Order Singularly Perturbed Problems | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1515/cmam-2016-0045 | |
dc.description.volume | 17 | |
dc.description.issue | 2 | |
dc.description.startingpage | 337 | |
dc.description.endingpage | 349 | |
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.source.abbreviation | Comput.Methods Appl.Math. | en |
dc.contributor.orcid | Xenophontos, Christos A. [0000-0003-0862-3977] | |
dc.gnosis.orcid | 0000-0003-0862-3977 |
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