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math.NA2020
Cut finite element error estimates for a class of nonlinear elliptic PDEs
Georgios Katsouleas, Efthymios N. Karatzas, Fotios Travlopanos
Motivated by many applications in complex domains with boundaries exposed to large topological changes or deformations, fictitious domain methods regard the actual domain of intere…
math.NA2019
A Reduced-Order Shifted Boundary Method for Parametrized incompressible Navier-Stokes equations
Efthymios N. Karatzas, Giovanni Stabile, Leo Nouveau +2
We investigate a projection-based reduced-order model of the steady incompressible Navier-Stokes equations for moderate Reynolds numbers. In particular, we construct an "embedded"…