Υπεύθυνος έργου, European Social Fund – HEaD Higher Education and Development, SISSA mathLab, International School for Advanced Studies, Trieste, 2017 – 2019
Μεταδιδακτορικός Ερευνητής, Department of Mathematics and Statistics, Chalmers University of Technology and University of Gothenburg, 2016 – 2017
Βοηθός διδασκαλίας και Έρευνας, Εθνικό Μετσόβιο Πολυτεχνείο, 2010 – 2015
Ερευνητικά Ενδιαφέροντα
Αριθμητική Ανάλυση, υπολογιστικά μαθηματικά, χαμηλής και υψηλής τάξης επιστημονικοί υπολογισμοί
Δυναμικά συστήματα βέλτιστου ελέγχου με περιορισμούς Μ.Δ.Ε. και εφαρμογές
Αβεβαιότητα στα δεδομένα, μοντέλα Μ.Δ.Ε. με αβεβαιότητα
Μαθηματική βιολογία και Χημεία, Υπολογιστική Εμβιομηχανική
Μηχανική των ρευστών
Επιλεγμένες Δημοσιεύσεις
K. Chrysafinos, E. N. Karatzas, Error estimates for discontinuous Galerkin time-stepping schemes for Robin boundary control problems constrained to parabolic PDEs, SIAM J. Numer. Anal., 52(6) (2014)
K. Chrysafinos, E. N. Karatzas and D. Kostas, Stability and Error Estimates of Fully Discrete Schemes for the Brusselator System, SIAM J. Numer. Anal., 57:2 (2019)
E. N. Karatzas, G. Stabile, F. Ballarin, and G. Rozza:. “Chapter 13: Reduced Basis, Embedded Methods, and Parametrized Level-Set Geometry”. In: Advanced Reduced Order Methods and Applications in Computational Fluid Dynamics, SIAM, pp. 265–282
E. N. Karatzas, G. Stabile, L. Nouveau, G. Scovazzi, and G. Rozza, A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow, Comput Methods Appl Mech Eng, 347 (2019)
Ε. N. Karatzas, M. Nonino, F. Ballarin and G. Rozza, A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier-Stokes problems, Comput Math Appl,116 (2022)
X. Zeng, G. Stabile, E. N. Karatzas, G. Scovazzi, and G. Rozza, Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method, Comput Methods Appl Mech Eng, 398 (2022)
A. Aretaki and E. N. Karatzas, Random geometries for optimal control PDE problems based on fictitious domain FEMS and cut elements, J. Comput. Appl. Math., 412 (2022)
G. Katsouleas, E. N. Karatzas and F. Travlopanos, Discrete empirical interpolation and unfitted mesh FEMs: application in PDE-constrained optimization, Optimization, 72(6) (2023)
E. N. Karatzas, hp-version analysis for arbitrarily shaped elements on the boundary discontinuous Galerkin method for Stokes systems, Int. J. Numer. Anal. Mod., 21, pp. 528-559, (2024)