Irene Sykopetritou
Ph.D Candidate - Teaching Assistant
Department of Mathematics and Statistics
University of Cyprus
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CV
Irene Sykopetritou
Education and Studies
September 2018 - today
Doctoral studies in Applied Mathematics, Department of Mathematics and Statistics, University of Cyprus
(Thesis Advisor: Dr. Christos Xenophontos)
September 2016 - June 2018
M.Sc. in Applied Mathematics, Department of Mathematics and Statistics, University of Cyprus
(Thesis Advisor: Dr. Christos Xenophontos)
September 2012 - June 2016
B.Sc. in Mathematics (Applied Mathematics), Department of Mathematics and Statistics, University of Cyprus
Research Interests
Numerical Analysis, Finite Element Methods
Publications
Journal Articles
C. Xenophontos, S. Franz and I. Sykopetritou, Mixed hp finite element method for singularly perturbed fourth order boundary value problems with two small parameters, Numerical Methods PDEs, Vol. 38, Num. 5, pp. 1543 - 1555 (2022).
I. Sykopetritou and C. Xenophontos, An hp finite element method for a singularly perturbed reaction-convection-diffusion boundary value problem with two small parameters, International Journal of Numerical Analysis and Modeling, Vol. 18, Num. 4, pp. 481 - 499 (2021).
C. Xenophontos and I. Sykopetritou, Isogeometric Analysis for singularly perturbed problems in 1-D: error estimates, Electronic Transactions on Numerical Analysis, Vol. 52, pp. 1 - 25 (2020).
Conferences' Participations
15th Annual Workshop on Numerical Methods for Problems with Layer Phenomena (Larnaca, 24-25 May 2018)
Contemporary Aspects of Analysis II (Protaras, 6-10 May 2019)
18th Annual Workshop on Numerical Methods for Problems with Layer Phenomena (Hagen, 24-26 March 2022)
European Finite Element Fair 2023 (Enschede, The Netherlands, 12-13 May 2023)
19th Annual Workshop on Numerical Methods for Problems with Layer Phenomena (Prague, 25-27 May 2023)
Advanced Courses
Advanced ECCOMAS Course Mathematical Theory of Finite Elements (Warsaw, 24-28 June 2019)
Published Work
Journal Articles
Isogeometric Analysis for singularly perturbed problems in 1-D : error estimates
ETNA, 2020
Christos Xenophontos and Irene Sykopetritou
Abstract. We consider one-dimensional singularly perturbed boundary value problems of reaction-convection-diffusion type, and the approximation of their solution using isogeometric analysis. In particular, we use a Galerkin formulation with B-splines as basis functions, defined on appropriately chosen knot vectors. We prove robust exponential convergence in the energy norm, independently of the singular perturbation parameters, and illustrate our findings through a numerical example.
An hp finite element method for a singularly perturbed reaction-convection-diffusion boundary value problem with two small parameters
IJNAM, 2021
Irene Sykopetritou and Christos Xenophontos
Abstract. We consider a second order singularly perturbed boundary value problem, of reaction-convection-diffusion type with two small parameters, and the approximation of its solution by the hp version of the Finite Element Method on the so-called Spectral Boundary Layer mesh. We show that the method converges uniformly, with respect to both singular perturbation parameters, at an exponential rate when the error is measured in the energy norm. Numerical examples are also presented, which illustrate our theoretical findings as well as compare the proposed method with others found in the literature.
Mixed hp finite element method for singularly perturbed fourth order boundary value problems with two small parameters
NMPDE, 2022
Christos Xenophontos, Sebastian Franz and Irene Sykopetritou
Abstract. We consider fourth order singularly perturbed boundary value problems with two small parameters, and the approximation of their solution by the hp version of the Finite Element Method on the Spectral Boundary Layer mesh. We use a mixed formulation requiring only C^0 basis functions in two-dimensional smooth domains. Under the assumption of analytic data, we show that the method converges uniformly, with respect to both singular perturbation parameters, at an exponential rate when the error is measured in the energy norm. Our theoretical findings are illustrated through numerical examples, including results using a stronger (balanced) norm.
Exceed Your Expectations
Courses ( Fall Semester 2023/2024 )
Upcoming Events
Time is TBDUniversity of Twente, Enschede, The NetherlandsTime is TBDUniversity of Twente, Enschede, The Netherlands
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