Projection-based reduced order models for a cut finite element method in parametrized domains EN Karatzas, F Ballarin, G Rozza Computers & Mathematics with Applications 79 (3), 833-851, 2020 | 40 | 2020 |
A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow EN Karatzas, G Stabile, L Nouveau, G Scovazzi, G Rozza Computer Methods in Applied Mechanics and Engineering 347, 568-587, 2019 | 34 | 2019 |
A reduced-order shifted boundary method for parametrized incompressible Navier–Stokes equations EN Karatzas, G Stabile, L Nouveau, G Scovazzi, G Rozza Computer Methods in Applied Mechanics and Engineering 370, 113273, 2020 | 22 | 2020 |
A reduced order approach for the embedded shifted boundary FEM and a heat exchange system on parametrized geometries EN Karatzas, G Stabile, N Atallah, G Scovazzi, G Rozza IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart …, 2020 | 21 | 2020 |
Error estimates for discontinuous Galerkin time-stepping schemes for Robin boundary control problems constrained to parabolic PDEs K Chrysafinos, EN Karatzas SIAM Journal on Numerical Analysis 52 (6), 2837-2862, 2014 | 15 | 2014 |
SYMMETRIC ERROR ESTIMATES FOR DISCONTINUOUS GALERKIN APPROXIMATIONS FOR AN OPTIMAL CONTROL PROBLEM ASSOCIATED TO SEMILINEAR PARABOLIC PDE'S. K Chrysafinos, EN Karatzas Discrete & Continuous Dynamical Systems-Series B 17 (5), 2012 | 15 | 2012 |
A reduced order model for a stable embedded boundary parametrized Cahn–Hilliard phase-field system based on cut finite elements EN Karatzas, G Rozza Journal of Scientific Computing 89 (1), 9, 2021 | 11 | 2021 |
Symmetric error estimates for discontinuous Galerkin time-stepping schemes for optimal control problems constrained to evolutionary Stokes equations K Chrysafinos, EN Karatzas Computational Optimization and Applications 60, 719-751, 2015 | 9 | 2015 |
Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method X Zeng, G Stabile, EN Karatzas, G Scovazzi, G Rozza Computer Methods in Applied Mechanics and Engineering 398, 115143, 2022 | 7 | 2022 |
A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems EN Karatzas, M Nonino, F Ballarin, G Rozza Computers & Mathematics with Applications 116, 140-160, 2022 | 7 | 2022 |
Discrete empirical interpolation and unfitted mesh FEMs: application in PDE-constrained optimization G Katsouleas, EN Karatzas, F Travlopanos Optimization 72 (6), 1609-1642, 2023 | 5 | 2023 |
Stability and error estimates of fully discrete schemes for the Brusselator system K Chrysafinos, EN Karatzas, D Kostas SIAM Journal on Numerical Analysis 57 (2), 828-853, 2019 | 5 | 2019 |
Random geometries for optimal control PDE problems based on fictitious domain FEMS and cut elements A Aretaki, EN Karatzas Journal of Computational and Applied Mathematics 412, 114286, 2022 | 4 | 2022 |
Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems A Aretaki, EN Karatzas, G Katsouleas Journal of Scientific Computing 91 (2), 48, 2022 | 2 | 2022 |
Cut finite element error estimates for a class of nonlinear elliptic PDEs G Katsouleas, EN Karatzas, F Travlopanos arXiv preprint arXiv:2003.06489, 2020 | 2 | 2020 |
Discontinuous Galerkin time-stepping schemes for Robin boundary control problems constrained to parabolic PDEs K Chrysafinos, E Karatzas IFAC Workshop on Control of Systems Governed by PDEs, 2013 | 2 | 2013 |
Boundary and distributed optimal control for a population dynamics PDE model with discontinuous in time Galerkin FEM schemes EN Karatzas Computers & Mathematics with Applications 165, 70-87, 2024 | | 2024 |
hp-version analysis for arbitrarily shaped elements on the boundary discontinuous Galerkin method for Stokes systems EN Karatzas arXiv preprint arXiv:2301.12577, 2023 | | 2023 |
Reduced Basis, Embedded Methods and Parametrized Levelset Geometry EN Karatzas, G Stabile, F Ballarin, G Rozza arXiv preprint arXiv:2301.12401, 2023 | | 2023 |
Discrete empirical interpolation and unfitted mesh FEMs G Katsouleas, E Karatzas, F Travlopanos Optimization Journal, 2022 | | 2022 |