Display Abstract
Title Rothe method for parabolic variational-hemivariational inequalities
Name Krzysztof Bartosz
Country Poland
Email bartosz@ii.uj.edu.pl
Co-Author(s) Xiaoliang Cheng, Piotr Kalita, Yuanjie Yu, Cong Zheng
Submit Time 2014-02-24 05:23:11
Session
Special Session 50: Evolution equations and inclusions with applications to control, mathematical modeling and mechanics
Contents
We deal with the convergence analysis of the semidiscrete Rothe scheme for the parabolic variational-hemivariational inequality with the nonlinear pseudomonotone operator. The problem involves both a discontinuous and nonmonotone multivalued term as well as a monotone term with potentials which assume infinite values and hence are not locally lipschitz. The proof can be viewed both as the proof of solution existence as well as of the convergence of a numerical semidiscrete scheme.
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