98 citations · 227 across the 32 of their papers we have counts for
4 papers · 1 filter
A Multigrid Method for Unfitted Finite Element Discretizations of Elliptic Interface Problems
Thomas Ludescher, Sven Gross, Arnold Reusken
We consider discrete Poisson interface problems resulting from linear unfitted finite elements, also called cut finite elements (CutFEM). Three of these unfitted finite element met…
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…
A finite element method for the surface Stokes problem
Maxim A. Olshanskii, Annalisa Quaini, Arnold Reusken +1
We consider a Stokes problem posed on a 2D surface embedded in a 3D domain. The equations describe an equilibrium, area-preserving tangential flow of a viscous surface fluid and se…
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…