Publications

Preprints

Dong, and E. H. Georgoulis. Robust interior penalty discontinuous Galerkin methods.[preprint]
Chrysafinos and D. Plaka. Analysis and approximations of an optimal control problem for the Allen-Cahn equations.[preprint]
Zeng, G. Stabile, E. N. Karatzas, G. Scovazzi, and G. Rozza. Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method.[preprint]

Chrysafinos, E. H. Georgoulis, and D. Plaka. A posteriori error estimates for the Allen-Cahn problem. SIAM Journal on Numerical Analysis 58(5), pp.2662–2683 (2020).
Cangiani, P. Chatzipandelidis, G. Diwan, E. H. Georgoulis. A virtual element method for quasilinear elliptic problems. IMA Journal of Numerical Analysis 40 (4), pp.2450–2472 (2020).
H. Georgoulis. Hypocoercivity-compatible finite element methods for the long-time computation of Kolmogorov’s equation. SIAM Journal on Numerical Analysis 59(1) pp.173-194 (2021).
Cangiani, E. H. Georgoulis, and O. J. Sutton. Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods. Mathematical Models and Methods in Applied Sciences 31(4) pp. 711–751 (2021).
H. Georgoulis, O. Lakkis, and T. P. Wihler. A posteriori error bounds for fully-discrete hp-discontinuous Galerkin timestepping methods for parabolic problems. Numerische Mathematik 148(2) pp.363–386 (2021).
Dong, E. H. Georgoulis, and T. Kappas. GPU-accelerated discontinuous Galerkin methods on polytopic meshes. SIAM Journal on Scientific Computing 43(4) pp. C312–C334 (2021).
N. Karatzas, M. Nonino, F. Ballarin and G. Rozza. A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems, Computers & Mathematics with Applications, (2021).
N. Karatzas and G. Rozza. A Reduced Order Model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements. Journal of Scientific Computing, 89(9), (2021).
Cangiani, Z. Dong, and E. H. Georgoulis. hp–Version discontinuous Galerkin methods on essentially arbitrarily-shaped elements. Mathematics of Computation 91 pp. 1-35 (2022).
Aretaki, E. N. Karatzas and G. Katsouleas, Equal higher order analysis on an unfitted dG method for Stokes flow systems, Journal of Scientific Computing, 91, 48, (2022).
Chrysafinos and D. Kostas. High order time stepping schemes for a predator-prey system. (special issue in honor Prof. Max. Gunzburger) Int. J. of Numer. Anal. & Model., 19(2-3) pp. 404-423 (2022).