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math.NA2018
A time dependent Stokes interface problem: well-posedness and space-time finite element discretization
Igor Voulis, Arnold Reusken
In this paper a time dependent Stokes problem that is motivated by a standard sharp interface model for the fluid dynamics of two-phase flows is studied. This Stokes interface prob…
math.NA2018
Discontinuous Galerkin Time Discretization Methods for Parabolic Problems with Linear Constraints
Igor Voulis, Arnold Reusken
We consider time discretization methods for abstract parabolic problems with inhomogeneous linear constraints. Prototype examples that fit into the general framework are the heat e…