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Chaired by: prof. Stanisław Migórski and dr hab. Anna Ochal
Room: 1177
Date: Thursday at 10:15-11:45
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Future talks in academic year 2023/2024
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October 12, 19, 2023, Krzysztof Bartosz
Inf-sup condition and Banach-Necas-Babuska theorem
TALK TITLE: Inf-sup condition and Banach-Necas-Babuska theorem
ABSTRACT: I will talk about the application of the Banach-Necas-Babuska theorem to the study of elliptic differential equations. In particular, the existence and uniqueness of the solution to such problem, as well as the convergence of the corresponding Galerkin method, will be presented. The main difficulty in the above analysis is the verification of the so-called inf-sup condition in both continuous and discrete cases. I will show how to ensure this in the case of particular class of differential equations.
The talk will be based on the lecture notes: R. Lazarov, Inf-sup condition and Banach-Necas-Babuska theorem:
http://web.archive.org/web/20230621010049/https://www.math.tamu.edu/~raytcho.lazarov/access/Sofia_L_04.pdf
Information on the past and forthcoming meetings of the seminar can be found at
http://www.kos.ii.uj.edu.pl/ktois-seminar