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math.NA2026
A posteriori error analysis, Pod-Deim reduced order geometrically parametrized models and unfitted FEMs
Efthymios N. Karatzas
We develop and analyze a posteriori error estimators for a proper orthogonal decomposition-discrete empirical interpolation method (Pod-Deim) reduced order model applied to a param…
math.NA2024
hp-version analysis for arbitrarily shaped elements on the boundary discontinuous Galerkin method for Stokes systems
Efthymios N. Karatzas
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…
math.NA2024
Boundary and distributed optimal control for a population dynamics PDE model with discontinuous in time Galerkin FEM schemes
EFthymios N. Karatzas
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…