6 citations · 6 across the 3 of their papers we have counts for
3 papers
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…
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…
Variation of the Affine Connection in the kinematics of hypersurfaces
N. Kadianakis, F. I. Travlopanos
Affine deformations serve as basic examples in the continuum mechanics of deformable 3-dimensional bodies (referred as homogeneous deformations). They preserve parallelism and are…