2 papers
math.NA2025
Free-surface Stokes problem: stability estimates and time-step improvements
Igor Tominec, Lukas Lundgren, André Löfgren +2
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…
math.NA2025
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 NeÄas' inequal…