PUBLICATIONS

(Including Conference Proceedings and Technical Reports)

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JOURNAL ARTICLES  PROCEEDINGS  TECHNICAL REPORTS  OTHER

Journal Artiles

C. Xenophontos and L. Oberbroeckling, On the hp finite element approximation of systems of singularly perturbed reaction-diffusion equations, submitted, 2007.

C. Xenophontos and L. Oberbroeckling, Robust exponential convergence of hp-FEM for singularly perturbed reaction diffusion systems with multiple scales, submitted, 2007.

M. Knapp and C. Xenophontos, Numerical analysis meets number theory: using rootfinding methods to calculate inverses mod p ⁿ, submitted, 2006.

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. Non-Newtonian 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 reaction-diffusion 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 p-version MITC finite element method for Reissner-Mindlin 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 two-dimensional 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 , PS file.)

M. Elliotis, G. Georgiou and C. Xenophontos, Solution of the planar Newtonian stick-slip 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. 485-499 (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. 465-483 (2004). (PDF file , PS file.)

J. Kurtz and C. Xenophontos, On the effects of using curved elements in the approximation of the Reissner-Mindlin plate by the p version of the finite element method, Applied Numerical Mathematics, Vol. 46, No, 2, pp. 231-246 (2003). (PDF file , PS 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 , PS file.)

C. Xenophontos and S. R. Fulton, Uniform approximation of singularly perturbed reaction-diffusion 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 , PS file, Newest version gzipped PS file (5.6MB), Newest version PDF file.)

M. Elliotis, G. Georgiou and C. Xenophontos, The solution of Laplacian problems over L-shaped domains with a singular 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 reaction-diffusion problems, International Journal of Numerical Methods in Engineering, Vol. 53, No 4, pp. 929 - 943 (2002) (PDF file , PS file.)

C. Xenophontos, A note on the application of p/hp finite element methods to reaction-diffusion problems in polygonal domains, Communications in Numerical Methods in Engineering, Vol 16, No 6, pp. 391 - 400 (2000) (PDF file , PS file.)

B. Jeremic and C. Xenophontos, Application of the p-version of the finite element method to elasto-plasticity with localization of deformation, Communications in Numerical Methods in Engineering, Vol. 15, No. 12, pp. 867 - 876 (1999) ( PDF file , PS file includes color figures (17 MBs.))

C. Xenophontos, The hp finite element method for singularly perturbed problems in non-smooth domains, Numerical Methods for Partial Differential Equations, Vol 15, No 1, pp. 63 - 90 (1999) (PDF file , PS file.)

C. Xenophontos, Finite Element computations for the Reissner-Mindlin plate model, Communications in Numerical Methods in Engineering, Vol 14, pp. 1119 - 1131 (1998) (PDF file , PS 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 , PS 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 , PS 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 , PS 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, Springer-Verlag, 1993.

Conference Proceedings

M. Elliotis, G. Georgiou and C. Xenophontos, Solution of the stick-slip problem with the singular function boundary integral method, Proceedings of the 5^th GRACM Congress on Computational Mechanics, 29 June - 1 July, 2005, Limassol, Cyprus. (PDF file.)

M. Elliotis, G. Georgiou and C. Xenophontos, The singular function boundary integral method for a two-dimensional fracture problem, Proceedings of the 5^th GRACM Congress on Computational Mechanics, 29 June - 1 July, 2005, Limassol, Cyprus. (PDF file.)

M. Elliotis, G. Georgiou and C. Xenophontos, Numerical Solutions of Laplacian Problems over L-shaped Domains and Calculations of the Generalized Stress Intensity Factors, Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), H. A. Mang, F. G. Rammerstorfer and J. Eberhardsteiner (Eds), ISBN: 3-9501554-0-6, July 7 - 12, 2002, Vienna, Austria. (PDF file.)

C. Xenophontos, J. Kurtz and S. R. Fulton, On the uniform approximation of the Reissner-Mindlin plate model by p/hp finite element methods, Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), July 7 - 12, 2002, Vienna, Austria, H. A. Mang, F. G. Rammerstorfer and J. Eberhardsteiner (Eds), ISBN: 3-9501554-0-6. (PDF file.)

C. Xenophontos, J. Kurtz and S. R. Fulton, On the approximation of the Reissner-Mindlin plate model by the p/hp version of the finite element method, Proceedings of the 4^th GRACM Congress on Computational Mechanics, 27 - 29 June, 2002, Patra, Greece. (PDF file.)

M. Elliotis, G. Georgiou and C. Xenophontos, Numerical calculation of the leading singular coefficients in Laplacian problems over L-shaped domains, Proceedings of the 4^th GRACM Congress on Computational Mechanics, 27 - 29 June, 2002, Patra, Greece. (PDF file.)

M. Suri and C. Xenophontos, Reliability of an hp algorithm for buckling analysis , Proceedings of IASS-IACM 2000: Fourth International Colloq. on Computation of Shell and Spatial Structures, Chania, Greece, June 5-7, 2000. (PDF file , PS file.)

B. Jeremic, C. Xenophontos and S. Sture, Modeling of continuous localization of deformation, R. Ghanem and N. Jones Editors, Proceedings of 13th ASCE Conference, Baltimore, MD, June 1999. (PDF file.)

C. Xenophontos, Boundary layer resolution via the hp finite element method - Symposium on Rheology and Computational Fluid Mechanics, Proceedings , G. Georgiou (Ed), pp. 113 - 120 (1996).

Techincal Reports

M. Knapp and C. Xenophontos, Numerical analysis meets number theory: using rootfinding methods to calculate inverses mod p ⁿ, Technical Report 2004-02, Mathematical Sciences Department, Loyola College, 2004. (PDF file , PS file.)

J. Kurtz, C. Xenophontos and S. Fulton, An hp MITC finite element method for Reissner-Mindlin plates with smooth boundaries, Technical Report 2003-01, Dept. of Math. & Comp. Sci., Clarkson University, 2003. (PDF file , PS file.)

C. Xenophontos and S. R. Fulton, MAPLE Turorial 4: Matrices and Vectors, Technical Report 99-06, Dept. of Math. & Comp. Sci., Clarkson University, 1999. (PDF file.)

S. R. Fulton and C. Xenophontos, MAPLE Turorial 3: Derivatives and Integrals, Technical Report 99-05, Dept. of Math. & Comp. Sci., Clarkson University, 1999. (PDF file.)

S. R. Fulton and C. Xenophontos, MAPLE Turorial 2: Functions, Plots and Equations, Technical Report 99-04, Dept. of Math. & Comp. Sci., Clarkson University, 1999. (PDF file.)

S. R. Fulton and C. Xenophontos, MAPLE Turorial 1: Getting Started, Technical Report 99-03, Dept. of Math. & Comp. Sci., Clarkson University, 1999. (PDF file.)

C. Xenophontos, A Beginner's Guide to MATLAB, Technical Report 98-02, Dept. of Math. & Comp. Sci., Clarkson University, 1998. (PDF file.)

Other

C. Xenophontos, A formula for the n^th derivative of the quotient of two functions, 2007. (PDF file.)

C. Xenophontos, The hp finite element method for singularly perturbed problems, Ph.D. Dissertation, University of Maryland, 1996.

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