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Theodoros Katsaounis

Theodoros Katsaounis
I am a Professor in the Dept. of Math. and Applied Mathematics of Univ. of Crete and a Collaborating Researcher at the Institute of Applied and Computational Mathematics (IACM) of FORTH. My main research interests lie in the area of Applied and Computational Mathematics.

THEODOROS

KATSAOUNIS

thodoros@iacm.forth.gr

Dept. of Mathematics and Applied Mathematics, Univ. of Crete, Voutes Campus, Heraklion, Greece

+30 2810 391785

High frequency limit of Helmholtz equations (with JD. Benamou, F. Castela, B. Perthame), Revista Matematica Iberoamericana, vol. 18, no. 1, pp. 187-209, 2002.

Relaxation schemes for the shallow water equations (with A. Delis), International Journal for Numerical Methods in Fluids, vol. 41, no. 7, pp. 695-719, 2003.

Numerical simulation of incompressible fluid flow using locally solenoidal elements (with O. Karakashian), Computers and Mathematics with Applications, vol. 51, no. 9-10, pp. 1551-1570, 2006.

Finite volume schemes for dispersive wave propagation and runup (with D. Dutykh and D. Mitsotakis), Journal of Computational Physics, vol. 230, no. 8, pp. 3035-3061, 2011.

Emergence of coherent localized structures in shear deformations of temperature dependent fluids, (with A.Tzavaras and J. Olivier), Archive for Rational Mechanics and Analysis, vol. 224, no. 1, pp. 173-208, 2017.

2D simulation and performance evaluation of bifacial rear local contact c-Si solar cells under variable illumination conditions, (with K. Kotsovos, I. Gereige, A. Al-Saggaf and A. Tzavaras), Solar Energy, vol. 158, no. 1, pp. 34-41, 2017.

A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis, (with S.Israwi, H. Kalisch, and D.Mitsotakis), Nonlinearity [2] vol. 35, no. 1 750-786, 2022.

A posteriori error estimators for discontinuous Galerkin method for diffusion problems, based on the hypercircle method, (with D. AlSheikh) Arabian Journal of Mathematics [3], 2022.

A novel, structure-preserving, second-order-in-time relaxation scheme for Schrodinger-Poisson systems, (with A. Athanassoulis, I. Kyza, and S. Metcalfe) Journal of Computational Physics(JCP) [1], vol. 490, 112307, 2023.

A complete list of my publications can be found in my CV.

Applied and Computational Mathematics, Scientific Computing, Numerical methods for PDE’s with applications in Computational Fluid Dynamics, Conservation Laws, Shear Band formation in metals, Linear and Nonlinear Schrödinger equations, Dispersive Wave propagation, Solar Cell Modelling and Simulations
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