Staff Catalogue

CHRISTOS XENOPHONTOS

XENOPHONTOS CHRISTOS
22892610
...
PROFESSOR
Department of Mathematics and Statistics
FST 01 - Faculty of Pure and Applied Sciences, 034
University Campus
B.Sc. (High Honors) in Mathematics from The College of William & Mary in Virginia, U.S.A. in 1991. Graduate degrees in Applied Mathematics from the University of Maryland, Baltimore, County, U.S.A. (M.Sc. 1993, Ph.D. 1996). Worked as a visiting assistant professor at The Ohio State University, U.S.A. (1996-1997), and as an assistant professor at Clarkson University, U.S.A. (1997-2001), Loyola College, U.S.A. (2001-2004) and University of Cyprus (2004-2009). Promoted to associate professor in March 2009 and to professor in March 2017.  Director of KE.DI.MA. (Center for Teaching and Learning) 2017-2019 and 2022 - present.
Numerical Analysis, Numerical Solution of Partial Differential Equations, Finite Element Methods, Computational Mechanics.
Sykopetritou and C. Xenophontos, An hp finite element method for a convection-reaction-diffusion singularly perturbed problem with two small parameters, International Journal of Numerical Analysis and Modeling, Vol. 18, No. 4, pp. 481 – 499 (2021).
 
Bacuta , L. Demkowicz, J. M. Paz  and C. Xenophontos, Analysis of non-conforming DPG methods on polyhedral meshes using fractional Sobolev norms, Computers and Mathematics with Applications, Vol. 95, pp. 215 – 241 (2021)
 
 
Xenophontos and I. Sykopetritou, Isogeometric Analysis for singularly perturbed problems in 1-D: error estimates, Electronic Transactions in Numerical Analysis, Vol. 20, pp. 1 – 25 (2020).
 
Constantinou, S. Franz, L. Ludwig and C. Xenophontos, A mixed hp finite element method for a 4th order singularly perturbed problem, Num. Meth. PDEs Vol. 35, pp. 114 - 127 (2019).
 
Constantinou, S. Franz, L. Ludwig and C. Xenophontos, Finite element approximation of singularly perturbed reaction-diffusion problems using an exponentially graded mesh, Comp. Math. Appl., Vol. 76, pp. 2523 - 2534 (2018).

Xenophontos, A parameter robust finite element method for fourth order singularly perturbed problems, Computational Methods in Applied Mathematics, Vol. 17, pp. 337  - 350 (2017).

Constantinou and C. Xenophontos, An hp finite element method for a 4th order singularly perturbed boundary value problem in two dimensions, Computers and Mathematics with Applications, Vol. 72, pp. 1565 - 1575 (2017).

Nicaise and C. Xenophontos, An hp FEM for singularly perturbed transmission problems, J. Comp. Math., Vol, 35, pp. 152 - 168 (2017).

Melenk and C. Xenophontos, Robust exponential convergence of hp FEM in balanced norms for reaction diffusion problems, Calcolo. Vol. 53, No. 1, pp. 105 – 132 (2016).

Constantinou and C. Xenophontos, Finite element analysis of an exponentially graded mesh for singularly perturbed problems, Computational Methods in Applied Mathematics, Vol. 15, No. 2, pp. 135 – 143 (2015).

Nicaise and C. Xenophontos, Convergence analysis of an hp Finite Element Method for singularly perturbed transmission problems in smooth domains, Numerical Methods for PDEs Vol. 29, Issue 6, pp. 2107 - 2132 (2013).

Melenk, C. Xenophontos and L. Oberbroeckling, Analytic regularity for a singularly perturbed system of reaction-diffusion equations with multiple scales, Advances in Computational Mathematics, Vol. 39, pp. 367 - 394 (2013).

Nicaise and C. Xenophontos, Robust approximation of singularly perturbed delay differential equations by the hp finite element method, Comp. Meth. Appl. Math., Vol. 13, pp. 21 - 37 (2013).

Melenk, C. Xenophontos and L. Oberbroeckling, Robust exponential convergence of hp-FEM for singularly perturbed systems of reaction-diffusion equations with multiple scales, IMA J. Num. Anal., Vol. 33., No 2, pp. 609 - 628, (2013).

Christodoulou, M. Elliotis, C. Xenophontos and G. Georgiou, Analysis of the singular function boundary integral method for a biharmonic problem with one boundary singularity, Numer. Meth. PDEs, Vol. 28, No 3, pp 749 – 767 (2012).

Kellogg and C. Xenophontos, An enriched subspace finite element method for convection-diffusion problems, International Journal of Numerical Analysis and Modeling, Vol. 7, No. 3, pp. 477 - 490 (2010).

Xenophontos, The use of curved elements in the finite element approximation of thin plates by high order p and hp methods, Journal of Scientific Computing, Vol. 27, pp. 465-476 (2006).

Xenophontos, M. Elliotis and G. Georgiou, The singular function boundary integral method for elliptic problems with singularities, SIAM Journal of Scientific Computing, Vol. 28, No 2., pp. 517-532 (2006).

Fulton, A. S. Fokas and C. Xenophontos, An analytical method for linear elliptic PDEs and its numerical implementation, Journal of Computational and Applied Mathematics, Vol. 167, No. 2 , pp. 465-483 (2004).