Approximations of Evolutionary Inequality with Lipschitz-continuous Functional and Minimally Regular Input Data
- Авторы: Dautov R.1, Lapin A.1,2
-
Учреждения:
- Institute of Computational Mathematics and Information Technologies
- Coordinated Innovation Center for Computable Modeling in Management Science Tianjin University of Finance and Economics
- Выпуск: Том 40, № 4 (2019)
- Страницы: 425-438
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204234
- DOI: https://doi.org/10.1134/S199508021904005X
- ID: 204234
Цитировать
Аннотация
The convergence and accuracy of approximations of evolutionary inequality with a linear bounded operator and a convex and Lipschitz-continuous functional are investigated. Four types of approximations are considered: the regularization method, the Galerkin semi-discrete scheme, the Rothe scheme and the fully discrete scheme. Approximations are thoroughly studied under sufficiently weak assumptions about the smoothness of the input data. As an example of applying general theoretical results, we study the finite element approximation of second order parabolic variational inequality.
Об авторах
R. Dautov
Institute of Computational Mathematics and Information Technologies
Автор, ответственный за переписку.
Email: rafail.dautov@gmail.com
Россия, Kazan, Tatarstan, 420008
A. Lapin
Institute of Computational Mathematics and Information Technologies; Coordinated Innovation Center for Computable Modeling in Management Science Tianjin University of Finance and Economics
Автор, ответственный за переписку.
Email: avlapine@mail.ru
Россия, Kazan, Tatarstan, 420008; Tianjin, 300222