Curriculum Vitae

Efthymios Karatzas

Assistant Professor, School of Mathematics

Personal Information

ekaratza@math.auth.gr
Scopus ID55340441200
https://orcid.org/0000-0002-3541-6239

Course Work

Courses of Winter semester of 2024–25 academic year

	SCHOOL OF MATHEMATICS
0402	Numerical Analysis

	POSTGRADUATE STUDIES PROGRAMME OF THE SCHOOL OF MATHEMATICS
0853	Numerical Analysis with applications in Ordinary and Partial Differential Equations

Courses of Spring semester of 2024–25 academic year

	SCHOOL OF MATHEMATICS
0402	Numerical Analysis
0431	Computational mathematics

	POSTGRADUATE STUDIES PROGRAMME OF THE SCHOOL OF MATHEMATICS
0847	Numerical Methods with Applications in Control

Theses Supervised

Student Theses within AUTh

2024–2025

Postgraduate

No title
No title

2023–2024

Postgraduate

No title
No title
Evolutionary Differential Equation models derived from empirical Information and Neural network approximations with applications in automotive industry

Research Projects

No results were found.

Publications

(2024)

Journal Article

Karatzas Efthymios (2024). hp-version analysis for arbitrarily shaped elements on the boundary discontinuous Galerkin method for Stokes systems. International Journal of Numerical Analysis and Modeling. no.21 p.528-559.
Karatzas Efthymios (2024). Boundary and distributed optimal control for a population dynamics PDE model with discontinuous in time Galerkin FEM schemes. Computers and Mathematics with Applications. vol.165 p.70-87.

(2023)

Journal Article

Katsouleas Georgios, Karatzas Efthymios, Travlopanos Fotios (2023). Discrete empirical interpolation and unfitted mesh FEMs: application in PDE-constrained optimization. Optimization Journal [Taylor and Francis]. vol.72 no.6 p.1609–1642.

(2022)

Journal Article

Aretaki Aikaterini, Karatzas Efthymios (2022). Random geometries for optimal control PDE problems based on fictitious domain FEMs and cut elements. Journal of Computational and Applied Mathematics. vol.412.
Aretaki Aikaterini, Karatzas Efthymios, Katsouleas Georgios (2022). Equal Higher Order Analysis of an Unfitted Discontinuous Galerkin Method for Stokes Flow Systems. Journal of Scientific Computing.
Karatzas Efthymios, Nonino Monica, Ballarin Francesco, Rozza Gianluigi (2022). A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems. Computers & Mathematics with Applications. vol.116 p.140-160.
Zeng Xianyi, Stabile Giovanni, Karatzas Efthymios, Scovazzi Guglielmo, Rozza Gianluigi (2022). Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method. Computer Methods in Applied Mechanics and Engineering. vol.398 no.C p.115143.

Book Chapter

Karatzas Efthymios (2022). Reduced Basis, Embedded Methods, and Parametrized Level-Set Geometry, SIAM Computational Science and Engineering. Advanced Reduced Order Methods and Applications in Computational Fluid Dynamics. [eds]Giovanni Stabile, Francesco Ballarin, Gianluigi Rozza.

(2021)

Journal Article

Karatzas Efthymios, Rozza Gianluigi (2021). A Reduced Order Model for a Stable Embedded Boundary Parametrized Cahn–Hilliard Phase-Field System Based on Cut Finite Elements. Journal of Scientific Computing. vol.89 no.9.

(2020)

Journal Article

Karatzas Efthymios, Stabile Giovanni, NouveauLeo, Scovazzi Guglielmo, Rozza Gianluigi (2020). A reduced-order shifted boundary method for parametrized incompressible Navier–Stokes equations. Computer Methods in Applied Mechanics and Engineering. vol. 370.
Karatzas Efthymios, Ballarin Francesco, Rozza Gianluigi (2020). Projection-based reduced order models for a cut finite element method in parametrized domains. Computers and Mathematics with Applications. vol.79 no.3 p.833-851.

Conference Proceedings Article

Georgios Katsouleas, Karatzas Efthymios, Fotios Travlopanos (2020). Cut finite element error estimates for a class of nonlinear elliptic PDEs. Conference of the UK Association for Computational Mechanics, 1-3 April 2020, Loughborough Univ.
Karatzas Efthymios, Stabile Giovanni, Atallah Nabil, Scovazzi Guglielmo, Rozza Gianluigi (2020). A Reduced Order Approach for the Embedded Shifted Boundary FEM and a Heat Exchange System on Parametrized Geometries. IUTAM Symposium on Model Order Reduction of Coupled Systems. [eds] Fehr J., Haasdonk B. Stuttgart, Germany. vol.36.

(2019)

Journal Article

Chrysafinos Konstantinos, Karatzas Efthymios, Kostas Dimitrios (2019). Stability and Error Estimates of Fully Discrete Schemes for the Brusselator System. SIAM Journal on Numerical Analysis. vol.57 no.2.
Karatzas Efthymios, Stabile Giovanni, NouveauLeo, Scovazzi Guglielmo, Rozza Gianluigi (2019). A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow: . Computer Methods in Applied Mechanics and Engineering. p.568-587.

(2015)

Journal Article

Chrysafinos Konstantinos, Karatzas Efthymios (2015). Symmetric error estimates for discontinuous Galerkin time-stepping schemes for optimal control problems constrained to evolutionary Stokes equations. Computational Optimization and Applications. vol.60 p.719–751.

(2014)

Journal Article

Chrysafinos Konstantinos, Karatzas Efthymios (2014). Error estimates for discontinuous Galerkin time-stepping schemes for Robin boundary control problems constrained to parabolic PDEs. SIAM Journal on Numerical Analysis. vol.52 no.2.

(2013)

Conference Proceedings Article

Konstantinos Chrysafinos, Karatzas Efthymios (2013). Discontinuous Galerkin time-stepping schemes for Robin boundary control problems constrained to parabolic PDEs. Workshop on Control of Systems Governed by PDEs, IFAC.

(2012)

Journal Article

Chrysafinos Konstantinos, Karatzas Efthymios (2012). Symmetric error estimates for discontinuous galerkin approximations for an optimal control problem associated to semilinear parabolic pde's. Discrete and Continuous Dynamical Systems - Series B. vol.17 no.5 p. 1473-1506.

Updated: 2025-07-17

Quality Assurance Unit (MODIP)
Aristotle University of Thessaloniki

You are here

Curriculum Vitae

Efthymios Karatzas

Courses of Winter semester of 2024–25 academic year

Courses of Spring semester of 2024–25 academic year

Student Theses within AUTh

Postgraduate

Postgraduate

Journal Article

Journal Article

Journal Article

Book Chapter

Journal Article

Journal Article

Conference Proceedings Article

Journal Article

Journal Article

Journal Article

Conference Proceedings Article

Journal Article

Quality Assurance Unit (MODIP)Aristotle University of Thessaloniki

You are here

Curriculum Vitae

Efthymios Karatzas

Courses of Winter semester of 2024–25 academic year

Courses of Spring semester of 2024–25 academic year

Student Theses within AUTh

Postgraduate

Postgraduate

Journal Article

Journal Article

Journal Article

Book Chapter

Journal Article

Journal Article

Conference Proceedings Article

Journal Article

Journal Article

Journal Article

Conference Proceedings Article

Journal Article

Quality Assurance Unit (MODIP)
Aristotle University of Thessaloniki