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Copyright © 2024 [karmakis]
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Research Activities :
Publications
- (E. N. Karatzas), “hp-version analysis for
arbitrarily shaped elements on the boundary
discontinuous Galerkin method for Stokes systems”,
accepted for publication, 2024, arXiv:2301.12577v1
- (E. N. Karatzas), “Boundary and distributed
optimal control for a population dynamics PDE model
with discontinuous in time Galerkin FEM schemes”,
Comput. Math. Appl., Volume 165, No. 6, Pages 70-87,
2024, doi:10.1016/j.camwa.2024.04.009
- (G. Katsouleas, E. N. Karatzas, F. Travlopanos), “Discrete
Empirical Interpolation and unfitted mesh FEMs:
application in PDE–constrained optimization”,
Optimization Journal, vol. 72, No. 6, p1609–1642, 2023,
doi:10.1080/02331934.2022.2032697
- (E. N. Karatzas, G. Stabile, F. Ballarin, and G.
Rozza), Book chapter In Advanced Reduced Order Methods
and Applications in Computational Fluid Dynamics: “Reduced
Basis, Embedded Methods, and Parametrized Level-Set
Geometry”, SIAM Computational Science and
Engineering, 2022, doi:10.1137/1.9781611977257.ch13 ,
- (A. Aretaki, E. N. Karatzas), “Random
geometries for optimal control PDE problems based on
fictitious domain FEMS and cut elements”,
Journal of Computational and Applied Mathematics, Vol.
412, 114-286, 2022, doi:10.1016/j.cam.2022.114286
- (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”, Computer Methods in
Applied Mechanics and Engineering, 2022, doi:2022.115143
- (A. Aretaki, E. N. Karatzas, G. Katsouleas), “Equal
higher order analysis on an unfitted dG method for
Stokes flow systems”, Journal of Scientific
Computing, 91, 48, 2022, doi:2006.00435
- (E. 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., 2022, doi:10.1016/j.camwa.2021.07.016
- (E. N. Karatzas and G. Rozza), “A Reduced
Order Model for a stable embedded boundary
parametrized Cahn-Hilliard phase-field system based on
cut finite elements”, Journal of Scientific
Computing, 89, 9, 2021, DOI: 10.1007/s10915-021-01623-8
- (E. N. Karatzas, G. Stabile, L. Nouveau, G. Scovazzi,
and G. Rozza), “A Reduced Order Model for
embedded domain computations Based on Shifted Boundary
Method: Parametrized incompressible Navier-Stokes
equations”, Computer Methods in Applied
Mechanics and Engineering, 2020, doi:10.1016/j.cma.2020.113273
- (E. N. Karatzas, F. Ballarin, and G. Rozza), “Projection-based
reduced order models for a cut finite element method
in parametrized domains”,
Comput. Math. Appl., 2020, doi:10.1016/j.camwa.2019.08.003
- (E. N. Karatzas, G. Stabile, N. Atallah, G. Scovazzi,
and G. Rozza), “A reduced order approach for the
embedded shifted boundary FEM and a heat exchange
system on parametrized geometries”,
International Union of Theoretical and Applied
Mechanics, Symposium on International Union of
Theoretical and Applied Mechanics, Symposium on Model
order reduction of coupled systems, 2020, arXiv:1807.07753 or doi:10.1007/978-3-030-21013-7_8
- (K. Chrysafinos, E. N. Karatzas and D. Kostas), “Stability
and Error Estimates of Fully Discrete Schemes for the
Brusselator System”, SIAM Journal on
Numerical Analysis, 57:2, 828-853, 2019, doi:10.1137/18M1185594
- (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”, Computer Methods in Applied
Mechanics and Engineering 347, 568–587, 2019, doi:10.1016/j.cma.2018.12.040
- (K. Chrysafinos, E. N. Karatzas) "Symmetric
error estimates for discontinuous Galerkin
time-stepping schemes for optimal control problems
constrained to evolutionary Stokes equations"
(pdf).
Computational Optimization and Applications, Volume 60,
Issue 3, pp 719-751, 2015, doi:10.1007/s10589-014-9695-3
- (K. Chrysafinos, E. N. Karatzas) "Error
Estimates for Discontinuous Galerkin Time-Stepping
Schemes for Robin Boundary Control Problems
Constrained to Parabolic PDEs" (pdf).
SIAM J. Numer. Anal., 52(6), 2837–2862, 2014, doi:10.1137/130943108
- (K. Chrysafinos, E. N. Karatzas) "Discontinuous
Galerkin time-stepping schemes for Robin boundary
control problems constrained to parabolic PDEs",
IFAC Workshop on Control of Systems Governed by PDEs,
2013.
- (K. Chrysafinos, E. N. Karatzas) "Symmetric
error estimates for discontinuous Galerkin
approximations for an optimal control problem
associated to semilinear parabolic pdes" (pdf).
Discr. Cont. Dynam. Syst., Ser. B, Vol 17 (5), 2012, pp
1473-1506, doi:10.3934/dcdsb.2012.17.1473Â
Phd Thesis
Master Thesis
- Analysis and approximations of optimal control
problems for evolutionary equations: basic concepts,
some basic results, 2009 (pdf).
- Aeroacoustic research in the automotive industry - the
antenna model - hyperbolic pdes, 2001 (pdf).
BSc Thesis
- Optimization and linear programming, 1999.
Research
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