On the convergence of an explicit difference scheme for evolution variational inequalities with nonlocal space operator
- Authors: Glazyrina O.V.1, Pavlova M.F.1
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Affiliations:
- Kazan Federal University
- Issue: Vol 38, No 3 (2017)
- Pages: 571-587
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199498
- DOI: https://doi.org/10.1134/S1995080217030040
- ID: 199498
Cite item
Abstract
A nonlinear parabolic variational inequality with nonlocal space operator monotone with respect to gradient is considered. An explicit difference scheme with respect to the space operator and an implicit difference scheme with respect to the penalty operator are constructed by using the penalty method and the method of integral identities. Stability conditions for the constructed difference scheme are obtained. A convergence theorem with minimal assumptions on the smoothness of the initial data is proved.
About the authors
O. V. Glazyrina
Kazan Federal University
Author for correspondence.
Email: glazyrina-olga@ya.ru
Russian Federation, ul. Kremlevskaya 18, Kazan, 420008
M. F. Pavlova
Kazan Federal University
Email: glazyrina-olga@ya.ru
Russian Federation, ul. Kremlevskaya 18, Kazan, 420008