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7. Mechanics, Astronomy, Numerical Analysis, and Mathematical Models in Sciences

Long time stability of the implicit Euler scheme for an incompressible two-phase flow model

Florentina Tone
University of West Florida, Pensacola, SUA

Abstract:

In this talk 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.