M. J. Melenk and C. Xenophontos,
Robust exponential convergence of hpFEM in balanced norms for singularly perturbed
reactiondiffusion equations, submitted (2014).
P. Constantinou and C. Xenophontos,
Finite element analysis of an exponentially graded mesh for singularly perturbed problems, submitted (2014).
P. Panaseti, A. Zouvani, N. Madden and C. Xenophontos,
A C^{1}conforming hp Finite Element Method for fourth order singularly perturbed
boundary value problems, accepted for publication in Applied Numerical Mathematics (2014).
S. 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).
(Journal link ,
PDF file.)
M. J. Melenk, C. Xenophontos and L. Oberbroeckling,
Analytic regularity for a singularly perturbed system of reactiondiffusion equations with multiple scales,
Advances in Computational Mathematics, Vol. 39, pp. 367  394 (2013).
(PDF file.)
S. 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). (Journal link ,
PDF file.)
M. J. Melenk, C. Xenophontos and L. Oberbroeckling,
Robust exponential convergence of hpFEM for singularly perturbed systems of reactiondiffusion equations with
multiple scales, IMA J. Num. Anal., Vol. 33., No 2, pp. 609  628, (2013) doi: 10.1093/imanum/drs013.
(PDF file.)
E. Christodoulou, M. Elliotis, C. Xenophontos and
G. Georgiou,
The Singular Function Boundary Integral Method for 3D Laplacian problems with a boundary straight edge
singularity, Appl. Math. Comp., Vol. 219, pp. 1073  1081 (2012).
(PDF file.)
E. 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).
(PDF file.)
E. Christodoulou, C. Xenophontos
and G. Georgiou, The Singular Function Boundary Integral Method for singular Laplacian problems
over circular sectors, Applied Mathematics and Computation, Vol. 217, No. 5, pp. 2773  2787 (2010).
(PDF file.)
M. Elliotis, E. Christodoulou, G. Georgiou
and C. Xenophontos, The Singular Function Boundary Integral Method for a 3D Laplacian problem
with an edge singularity, Recent Developments in Boundary Element Methods (A Volume to honor Prof.
Katsikadelis), pp. 31  42, WIT Press (2010).
M. Knapp and C. Xenophontos,
Numerical analysis meets number theory: using root finding methods to calculate inverses
mod p^{n}, Applicable Analysis and Discrete Mathematics, Vol. 4, pp. 23  31 (2010).
(PDF file.)
R. B. Kellogg and C. Xenophontos,
An enriched subspace finite element method for convectiondiffusion problems,
International Journal of Numerical Analysis and Modeling, Vol. 7, No. 3, pp. 477  490 (2010).
(PDF file.)
C. Xenophontos and
L. Oberbroeckling, On the finite element approximation of systems of
reactiondiffusion equations by p/hp methods, Journal of Computational Mathematics, Vol. 28,
No. 3, pp. 386  400 (2010).
(PDF file.)
S. Nicaise and C. Xenophontos,
Finite element methods for a singularly perturbed transmission problem, Journal of Numerical
Mathematics, Vol. 17, No. 4, pp. 245  275 (2009).
(PDF file.)
E. Christodoulou, C. Xenophontos and
G. Georgiou, The singular function boundary integral method for elliptic problems with boundary singularities,
Recent Advances in Boundary Element Methods: A Volume to honor Prof. D. Beskos, G. Manolis and D. Polyzos (Eds),
pp. 43  56, SpringerVerlag, 2009.
C. Xenophontos,
The hp finite element approximation for singularly perturbed systems of reactiondiffusion equations,
J. of Neural, Parallel and Scientific Computation (Special Issue on Singularly Perturbed
Problems) Vol. 16, pp. 337  352 (2008).
M. Elliotis, G. Georgiou and
C. Xenophontos, The singular function boundary integral method for biharmonic problems with
crack singularities, Engineering Analysis with Boundary Elements, Vol 31, No. 3, pp 209  215 (2007).
(PDF file.)
M. Chatzimina, C. Xenophontos,
G. Georgiou, I. Argyropaidas and E. Mitsoulis, Cessation of annular Poiseuille flows of a Bingham plastic,
J. NonNewtonian Fluid Mechanics, Vol 142, pp. 135  142 (2007).
(PDF file.)
C. Xenophontos and
L. Oberbroeckling, A numerical study on the finite element solution of singularly perturbed systems of
reactiondiffusion problems, Applied Mathematics and Computation, Vol. 187, pp. 1351  1367 (2007).
(PDF file.)
C. Xenophontos,
The use of curved elements in the finite element approximation of thin plates by high order
p and hp methods, J. Scientific Computing, Vol. 27, pp. 465  476 (2006).
(PDF file.)
C. 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).
(PDF file.)
C. Xenophontos, J. Kurtz and S. R. Fulton, A
pversion MITC finite element method for ReissnerMindlin plates with smooth boundaries, Journal of Computational and Applied
Mathematics, Vol. 192, No. 2, pp. 374  395 (2006).
(PDF file.)
M. Elliotis, G. Georgiou and
C. Xenophontos, The singular function boundary integral method for a twodimensional fracture problem,
Engineering Analysis with Boundary Elements, Vol. 30 , pp. 100  106 (2006).
(PDF file.)
Z. C. Li, Y. L. Chen, G. Georgiou and C. Xenophontos,
Special boundary approximation methods for Laplace equation problems with boundary singularities, Computers and Mathematics with Applications, Vol. 51, pp. 115  142 (2006).
(PDF file.)
M. Elliotis, G. Georgiou and C. Xenophontos,
Solution of the planar Newtonian stickslip problem with the singular function boundary integral
method, Int. J. Numer. Meth. Fluids, Vol. 48, pp. 1001  1021 (2005).
(PDF file.)
M. Elliotis, G. Georgiou and C. Xenophontos,
Solving Laplacian problems with boundary singularities: A comparison of a singular function boundary integral method with the
p/hp version of the finite element method, Applied Mathematics and Computation, Vol. 169, No. 1, pp. 485499 (2005).
(PDF file.)
S. R. 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. 465483 (2004). (PDF file.)
J. Kurtz and C. Xenophontos,
On the effects of using curved elements in the approximation of the ReissnerMindlin plate by the p version
of the finite element method, Applied Numerical Mathematics, Vol. 46, No, 2, pp. 231246 (2003).
(PDF file.)
C. Xenophontos, A note on the
convergence of the finite element method for singularly perturbed problems using the Shishkin mesh,
Applied Mathematics and Computation, Vol. 42, No. 2/3, pp. 545  559 (2003).
(PDF file.)
C. Xenophontos and S. R. Fulton, Uniform approximation
of singularly perturbed reactiondiffusion problems by the finite element method on a Shishkin mesh, Numerical
Methods for Partial Differential Equations, Vol. 19, No. 1, pp. 89  111 (2002)
(PDF file.)
M. Elliotis, G. Georgiou and C. Xenophontos,
The solution of Laplacian problems over Lshaped domains with a singular function boundary integral method,
Communications in Numerical Methods in Engineering, Vol. 18, No. 3, pp. 213  222 (2002)
(PDF file.)
C. Xenophontos, Optimal mesh design for the finite element
approximation of reactiondiffusion problems, International Journal of Numerical Methods in Engineering, Vol. 53, No 4, pp. 929  943 (2002)
(PDF file.)
C. Xenophontos, A note on the application of p/hp
finite element methods to reactiondiffusion problems in polygonal domains, Communications in Numerical Methods in Engineering,
Vol 16, No 6, pp. 391  400 (2000)
(PDF file.)
B. Jeremic and C. Xenophontos, Application of the pversion of the
finite element method to elastoplasticity with localization of deformation, Communications in Numerical Methods in Engineering,
Vol. 15, No. 12, pp. 867  876 (1999)
( PDF file.)
C. Xenophontos, The hp finite element method
for singularly perturbed problems in nonsmooth domains, Numerical Methods for Partial Differential Equations, Vol 15, No 1,
pp. 63  90 (1999)
(PDF file.)
C. Xenophontos, Finite Element computations for the
ReissnerMindlin plate model, Communications in Numerical Methods in Engineering,
Vol 14, No. 12, pp. 1119  1131 (1998)
(PDF file.)
C. Schwab, M. Suri and C. Xenophontos, The hp
finite element method for problems in mechanics with boundary layers, Computer Methods
in Applied Mechanics and Engineering, Vol 57, No 3/4, pp. 311  334 (1998)
(PDF file.)
C. Xenophontos,The hp finite element method
for singularly perturbed problems in smooth domains, Mathematical Models and Methods
in Applied Sciences, Vol 2, No. 8, pp. 299  326 (1998)
(PDF file.)
C. Schwab, M. Suri and C. Xenophontos, Boundary
Layer Approximation by Spectral / hp Methods, Houston Journal of Mathematics, Special Issue of ICOSAHOM '95 Conference, A. V. Ilin and L. R. Scott (Editors), pp. 501  508 (1996).
(PDF file.)
C. R. Johnson and C. Xenophontos, Irreducibility
and primitivity of Perron complements, Institute of Mathematics and its Applications, Vol. 56, Graph Theory and
Sparse Matrix Computations, pp. 101  106, SpringerVerlag, 1993.

