Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Karatzas, EFthymios N."'
Autor:
Karatzas, EFthymios N.
Publikováno v:
Computers & Mathematics with Applications, Volume 165, 2024, Pages 70-87
We consider fully discrete finite element approximations for a semilinear optimal control system of partial differential equations in two cases: for distributed and Robin boundary control. The ecological predator-prey optimal control model is approxi
Externí odkaz:
http://arxiv.org/abs/2403.08419
In this chapter we examine reduced order techniques for geometrical parametrized heat exchange systems, Poisson, and flows based on Stokes, steady and unsteady incompressible Navier-Stokes and Cahn-Hilliard problems. The full order finite element met
Externí odkaz:
http://arxiv.org/abs/2301.12401
Autor:
Karatzas, Efthymios N.
In the present work, we examine and analyze an hp-version interior penalty discontinuous Galerkin finite element method for the numerical approximation of a steady fluid system on computational meshes consisting of polytopic elements on the boundary.
Externí odkaz:
http://arxiv.org/abs/2301.12577
Autor:
Zeng, Xianyi, Stabile, Giovanni, Karatzas, Efthymios N., Scovazzi, Guglielmo, Rozza, Gianluigi
We consider fully discrete embedded finite element approximations for a shallow water hyperbolic problem and its reduced-order model. Our approach is based on a fixed background mesh and an embedded reduced basis. The Shifted Boundary Method for spat
Externí odkaz:
http://arxiv.org/abs/2201.09546
Autor:
KARATZAS, EFTHYMIOS N.1,2 ekaratza@math.auth.gr
Publikováno v:
International Journal of Numerical Analysis & Modeling. 2024, Vol. 21 Issue 4, p528-559. 32p.
Discrete Empirical Interpolation and unfitted mesh FEMs: application in PDE-constrained optimization
Publikováno v:
Optimization Journal, 1-34, 2022, Taylor & Francis
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 optimization problems in parametrized domains that live in a fixed background ge
Externí odkaz:
http://arxiv.org/abs/2010.09059
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 within a levelset geometry description and the problems of interest are dis
Externí odkaz:
http://arxiv.org/abs/2010.04953
Publikováno v:
Journal of Scientific Computing, 2021
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 nonlinear geometrical PDE, namely the Cahn-Hilliard system. We manage to tac
Externí odkaz:
http://arxiv.org/abs/2009.01596
Publikováno v:
Journal of Scientific Computing, 91, 48 (2022)
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 pressures. This approach combines the best from both worlds, firstly t
Externí odkaz:
http://arxiv.org/abs/2006.00435
Motivated by many applications in complex domains with boundaries exposed to large topological changes or deformations, fictitious domain methods regard the actual domain of interest as being embedded in a fixed Cartesian background. This is usually
Externí odkaz:
http://arxiv.org/abs/2003.06489