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20182026
most citedA Reduced Basis approach for PDEs on parametrized geometries based on the Shifted Boundary Finite Element Method and application to a Stokes Flow

42 citations · 118 across the 15 of their papers we have counts for

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math.NA2023

Reduced Basis, Embedded Methods and Parametrized Levelset Geometry

Efthymios N. Karatzas, Giovanni Stabile, Francesco Ballarin +1

In this chapter we examine reduced order techniques for geometrical parametrized heat exchange systems, Poisson, and flows based on Stokes, steady and unsteady incompressible Navie…

math.NA2023

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…