6 citations · 7 across the 3 of their papers we have counts for
3 papers · 1 filter
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…
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…