Karatzas Efthymios

Assistant Professor

Office: Glass Building of Faculty of Sciences, West Wing, 3rd Floor, Room 3.9

Office Hours: @-schedule

Phone Number: +302310997956

Email: ekaratza@math.auth.gr Website: Personal Website

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

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

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

Chrysafinos and 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)
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)
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)
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)
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)
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)
Katsouleas and E. N. Karatzas and F. Travlopanos, Discrete empirical interpolation and unfitted mesh FEMs: application in PDE-constrained optimization, Optimization, 72(6) (2023)