2 citations · 6 across the 5 of their papers we have counts for
6 papers
Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems
Aikaterini Aretaki, Efthymios N. Karatzas, Georgios Katsouleas
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…
Random geometries for optimal control PDE problems based on fictitious domain FEMS and cut elements
Aikaterini Aretaki, Efthymios N. Karatzas
This work investigates an elliptic optimal control problem defined on uncertain domains and discretized by a fictitious domain finite element method and cut elements. Key ingredien…
The higher rank numerical range of matrix polynomials
Aikaterini Aretaki, John Maroulas
The notion of the higher rank numerical range for matrix polynomials is introduced here and some fundamental geometrical properties…
The higher rank numerical range of nonnegative matrices
Aikaterini Aretaki, John Maroulas
In this article the well known "Perron-Frobenius theory" is investigated involving the higher rank numerical range of an irreducible and entrywise nonnegative matrix …
The k-rank numerical radii
Aikaterini Aretaki, John Maroulas
The -rank numerical range is expressed via an intersection of a countable family of numerical ranges with respect to $n\times (n…
Investigating the Numerical Range of Non Square Matrices
Aikaterini Aretaki, John Maroulas
A presentation of numerical range for rectangular matrices is undertaken in this paper, introducing two different definitions and elaborating basic properties. Then we are extended…