Error Estimates for Discontinuous Galerkin Time-Stepping Schemes for Robin Boundary Control Problems Constrained to Parabolic PDEs. - Konstantinos Chrysafinos; Efthimios N. Karatzas (SIAM J. Numer. Anal., 2014)

Symmetric error estimates for discontinuous Galerkin time-stepping schemes for optimal control problems constrained to evolutionary Stokes equations. - Konstantinos Chrysafinos; Efthimios N. Karatzas (Comput. Optim. Appl., 2015)

A Reduced-Order Shifted Boundary Method for Parametrized incompressible Navier-Stokes equations. - Efthymios N. Karatzas; Giovanni Stabile; Léo Nouveau; Guglielmo Scovazzi; Gianluigi Rozza (CoRR, 2019)

Stability and Error Estimates of Fully Discrete Schemes for the Brusselator System. - Konstantinos Chrysafinos; Efthymios N. Karatzas; Dimitrios Kostas (SIAM J. Numer. Anal., 2019)

Projection-based reduced order models for a cut finite element method in parametrized domains. - Efthymios N. Karatzas; Francesco Ballarin; Gianluigi Rozza (Comput. Math. Appl., 2020)

Random geometries and Quasi Monte Carlo methods for optimal control PDE problems based on fictitious domain FEMS and cut elements. - Aikaterini Aretaki; Efthymios N. Karatzas (CoRR, 2020)

Cut finite element error estimates for a class of nonlinear elliptic PDEs. - Georgios Katsouleas; Efthymios N. Karatzas; Fotios Travlopanos (CoRR, 2020)

A Reduced Order Cut Finite Element method for geometrically parameterized steady and unsteady Navier-Stokes problems. - Efthymios N. Karatzas; Monica Nonino; Francesco Ballarin; Gianluigi Rozza (CoRR, 2020)

Discrete Empirical Interpolation and unfitted mesh FEMs: application in PDE-constrained optimization. - Georgios Katsouleas; Efthymios N. Karatzas; Fotios Travlopanos (CoRR, 2020)

A Reduced Order Model for a Stable Embedded Boundary Parametrized Cahn-Hilliard Phase-Field System Based on Cut Finite Elements. - Efthymios N. Karatzas; Gianluigi Rozza (J. Sci. Comput., 2021)

A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier-Stokes problems. - Efthymios N. Karatzas; Monica Nonino; Francesco Ballarin; Gianluigi Rozza (Comput. Math. Appl., 2022)

Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method. - Xianyi Zeng; Giovanni Stabile; Efthymios N. Karatzas; Guglielmo Scovazzi; Gianluigi Rozza (CoRR, 2022)

Random geometries for optimal control PDE problems based on fictitious domain FEMs and cut elements. - Aikaterini Aretaki; Efthymios N. Karatzas (J. Comput. Appl. Math., 2022)

Equal Higher Order Analysis of an Unfitted Discontinuous Galerkin Method for Stokes Flow Systems. - Aikaterini Aretaki; Efthymios N. Karatzas; Georgios Katsouleas (J. Sci. Comput., 2022)

Reduced Basis, Embedded Methods and Parametrized Levelset Geometry. - Efthymios N. Karatzas; Giovanni Stabile; Francesco Ballarin; Gianluigi Rozza (CoRR, 2023)

hp-version analysis for arbitrarily shaped elements on the boundary discontinuous Galerkin method for Stokes systems. - Efthymios N. Karatzas (CoRR, 2023)

Boundary and distributed optimal control for a population dynamics PDE model with discontinuous in time Galerkin FEM schemes. - Efthymios N. Karatzas (Comput. Math. Appl., 2024)