Monday, March 18, 2019 - 14:00 in V5-148
Convergence Results of Minty Type and Applications
A talk in the Oberseminar Numerik series by
Tabea Tscherpel from Aachen
| Abstract: |
The classical Minty lemma is based on monotonicity
and some sort of continuity of the operator involved.
For discontinuous relations, a suitable extension has been proved in
Bulicek et al. (2012, 2016). This finds applications in showing
existence of weak solutions to fluid equations for
non-Newtonian fluids with discontinuous constitutive relations.
In this talk I will introduce approximations for discontinuous
relations satisfying a variant of such Minty type convergence results.
This is useful for establishing convergence of finite element
approximations.
Furthermore, I will present some insights about a class of non-monotone relations for which a Minty type result can be proved.
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