Ph.D. in Mathematics, National Technical University of Athens, 2015
Doctoral Thesis Subject: Applied Mathematics
Doctoral Thesis Title: Optimal Control and Parabolic PDEs, Numerical Analysis and Applications
Supervisor: Prof. Konstantinos Chrysafinos
M.Sc. in Applied Mathematical Sciences -Computational Mathematics, National Technical University of Athens 2009
M.Sc. in Applied Mathematics – Mathematics in Physics and Industrial Applications, University of Patras, 2001
B.Sc. in Mathematics, Major in Applied Mathematics: Computational Mathematics and Computing, University of Patras, Patra, 1999
Professional Experience
Assistant Professor, Aristotle University of Thessaloniki, September 2022 – Today
Research Associate, FORTH Institute of Applied and Computational Mathematics, Heraclion, Crete, 2021 – 2022
Principal Investigator, ELIDEK, grant no. 1115, Numerical Analysis, SEMFE, NTUA, Athens Greece, 2019 – 2021
Visiting Lecturer, National Technical University of Athens, 2019 – 2020
Research Grant holder, European Social Fund – HEaD Higher Education and Development, SISSA mathLab, International School for Advanced Studies, Trieste, 2017 – 2019
Post Doctoral, Department of Mathematics and Statistics, Chalmers University of Technology and University of Gothenburg, 2016 – 2017
Teaching Assistant, National Technical University of Athens, 2010 – 2015
Research Interests
Numerical analysis, computational mathematics, large scale computations and scientific computing
Dynamical systems related to optimal control with PDE constraints and applications
Model order reduction
Finite element methods, embedded/immersed boundary finite element methods
Uncertainty quantification, PDE models with uncertainty
Mathematical biology and chemistry, Computational biomechanics
Computational fluid dynamics
Selected Publications
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)
