Special Session 98: Control, Inverse problems and Long time dynamics of Evolutionary Systems
On the Long-time Stability of the Implicit Euler Scheme for a Two-phase Flow Model
Florentina Tone
University of West Florida USA
Co-Author(s): Theodore Tachim
Abstract:
We present results on the stability for all positive time of the fully implicit Euler scheme for an incompressible two-phase flow model. More precisely, we consider the time discretisation scheme and with the aid of the discrete Gronwall lemma and of the discrete uniform Gronwall lemma we prove that the numerical scheme is stable.