Chaired by: prof. Stanisław Migórski and dr hab. Anna Ochal

Room: 1177

Date: Thursday at 10:15-11:45

Analysis of a convergence of a class of elliptic boundary hemivariational inequalities with appplication to steady-state heat transfer problems.

TALK TITLE: Analysis of a convergence of a class of elliptic boundary hemivariational inequalities with appplication to steady-state heat transfer problems.

ABSTRACT: In our latest work, we consider a class of elliptic boundary hemivariational inequalities which originates in the steady-state heat conduction problem with nonmonotone multivalued subdifferential boundary condition on a part of the boundary described by the Clarke generalized gradient of a locally Lipschitz function depending on the positive parameter alpha, which represents the heat transfer coefficient at part of the boundary. During the talk, we will discuss the results of numerical simulations and the observed convergence depending on the parameters alpha and the discretization step h.

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