42 citations · 118 across the 15 of their papers we have counts for
6 papers · 2 filters
Discrete Empirical Interpolation and unfitted mesh FEMs: application in PDE-constrained optimization
Georgios Katsouleas, Efthymios N. Karatzas, Fotios Travlopanos
In this work, we investigate the performance CutFEM as a high fidelity solver as well as we construct a competent and economical reduced order solver for PDE-constrained optimizati…
A Reduced Order Cut Finite Element method for geometrically parameterized steady and unsteady Navier-Stokes problems
Efthymios N. Karatzas, Monica Nonino, Francesco Ballarin +1
This work focuses on steady and unsteady Navier-Stokes equations in a reduced order modeling framework. The methodology proposed is based on a Proper Orthogonal Decomposition withi…
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
In the present work, we investigate a cut finite element method for the parameterized system of second-order equations stemming from the splitting approach of a fourth order nonlin…
Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems
Aikaterini Aretaki, Efthymios N. Karatzas, Georgios Katsouleas
In this work, we analyze an unfitted discontinuous Galerkin discretization for the numerical solution of the Stokes system based on equal higher-order discontinuous velocities and…
Cut finite element error estimates for a class of nonlinear elliptic PDEs
Georgios Katsouleas, Efthymios N. Karatzas, Fotios Travlopanos
Motivated by many applications in complex domains with boundaries exposed to large topological changes or deformations, fictitious domain methods regard the actual domain of intere…
Random geometries for optimal control PDE problems based on fictitious domain FEMS and cut elements
Aikaterini Aretaki, Efthymios N. Karatzas
This work investigates an elliptic optimal control problem defined on uncertain domains and discretized by a fictitious domain finite element method and cut elements. Key ingredien…