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math.NA2020★ 1 cited
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…
math.NA2020★ 1 cited
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…