Termin: Detail

Tabea Tscherpel: A Nitsche method for fluid flow with general boundary conditions

Ort: Paulinum P-701

Non-Newtonian fluids typically exhibit much more complex boundary conditions than no-slip or Navier-slip conditions. Similarly as the relation between shear rate and stress tensor, the boundary behaviour can be interpreted as a constitutive relation. As such, complex relations including stick-slip conditions or dynamic conditions as well as non-monotone relations may occur. In this talk we present a mixed finite element approximation for incompressible fluids with very general boundary conditions. We employ the Nitsche method to impose the boundary conditions by penalisation. This is motivated by the fact that a direct imposition of boundary conditions on curved boundary conditions may lead to a Babuska type paradox. Due to the penalisation, the convergence proof requires a novel Korn inequality involving trace terms. This is joint work with Alexei Gazca, Franz Gmeineder and Erika Maringová.

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Beginn: 7. April 2025 15:15

Ende: 7. April 2025 16:45