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math.NA2023★ 7 cited
Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow
Harald Garcke, Robert Nürnberg, Quan Zhao
We analyze numerical approximations for axisymmetric two-phase flow in the arbitrary Lagrangian-Eulerian (ALE) framework. We consider a parametric formulation for the evolving flui…
math.NA2023★ 3 cited
Unfitted finite element methods for axisymmetric two-phase flow
Harald Garcke, Robert Nürnberg, Quan Zhao
We propose and analyze unfitted finite element approximations for the two-phase incompressible Navier--Stokes flow in an axisymmetric setting. The discretized schemes are based on…