28 citations · 49 across the 8 of their papers we have counts for
5 papers · 1 filter
Free-surface Stokes problem: stability estimates and time-step improvements
Igor Tominec, Lukas Lundgren, André Löfgren +1
Accurate simulations of ice sheet dynamics, mantle convection, lava flow, and other highly viscous free-surface flows involve solving the coupled Stokes/free-surface equations. In…
A potential energy conserving finite element method for turbulent variable density flow: application to glacier-fjord circulation
Lukas Lundgren, Christian Helanow, Jonathan Wiskandt +2
We introduce a continuous Galerkin finite element discretization of the non-hydrostatic Boussinesq approximation of the Navier-Stokes equations, suitable for various applications s…
Well-posedness of the Stokes problem under modified pressure Dirichlet boundary conditions
Igor Tominec, Josefin Ahlkrona, Malte Braack
This paper shows that the Stokes problem is well-posed when velocity and pressure simultaneously vanish on the domain boundary. This result is achieved by extending Nečas' inequali…
Weak form Shallow Ice Approximation models with an improved time step restriction
Igor Tominec, Josefin Ahlkrona
The Shallow Ice Approximation (SIA) model on strong form is commonly used for inferring the flow dynamics of grounded ice sheets. The solution to the SIA model is a closed-form exp…
Theoretical results on a block preconditioner used in ice-sheet modeling: eigenvalue bounds for singular power-law fluids
Christian Helanow, Josefin Ahlkrona
The properties of a block preconditioner that has been successfully used in finite element simulations of large scale ice-sheet flow is examined. The type of preconditioner, based…