dc.contributor.author | Nicaise, S. | en |
dc.contributor.author | Xenophontos, Christos A. | en |
dc.creator | Nicaise, S. | en |
dc.creator | Xenophontos, Christos A. | en |
dc.date.accessioned | 2019-12-02T10:37:08Z | |
dc.date.available | 2019-12-02T10:37:08Z | |
dc.date.issued | 2013 | |
dc.identifier.issn | 0749-159X | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57328 | |
dc.description.abstract | We consider a two-dimensional singularly perturbed transmission problem with two different diffusion coefficients, in a domain with smooth (analytic) boundary. The solution will contain boundary layers only in the part of the domain where the diffusion coefficient is high and interface layers along the interface. Utilizing existing and newly derived regularity results for the exact solution, we prove the robustness of an hp finite element method for its approximation. Under the assumption of analytic input data, we show that the method converges at an "exponential" rate, provided the mesh and polynomial degree distribution are chosen appropriately. Numerical results illustrating our theoretical findings are also included. Copyright © 2013 Wiley Periodicals, Inc. | en |
dc.source | Numerical Methods for Partial Differential Equations | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84885021509&doi=10.1002%2fnum.21793&partnerID=40&md5=cb5533826bbddee2034f231027c69287 | |
dc.subject | Perturbation techniques | en |
dc.subject | Diffusion | en |
dc.subject | Finite element method | en |
dc.subject | Exact solution | en |
dc.subject | Numerical results | en |
dc.subject | MOS devices | en |
dc.subject | hp finite element method | en |
dc.subject | Hp-finite element methods | en |
dc.subject | Singularly perturbed | en |
dc.subject | boundary layers | en |
dc.subject | Convergence analysis | en |
dc.subject | interface layer | en |
dc.subject | Polynomial degree | en |
dc.subject | Transmission problem | en |
dc.subject | transmission problems | en |
dc.title | Convergence analysis of an hp finite element method for singularly perturbed transmission problems in smooth domains | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1002/num.21793 | |
dc.description.volume | 29 | |
dc.description.issue | 6 | |
dc.description.startingpage | 2107 | |
dc.description.endingpage | 2132 | |
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 :1</p> | en |
dc.source.abbreviation | Numer Methods Partial Differential Equations | en |
dc.contributor.orcid | Xenophontos, Christos A. [0000-0003-0862-3977] | |
dc.gnosis.orcid | 0000-0003-0862-3977 | |