Email this article Approximations of Evolutionary Inequality with Lipschitz-continuous Functional and Minimally Regular Input Data
- Authors: Dautov R.Z.1, Lapin A.V.1,2
-
Affiliations:
- Institute of Computational Mathematics and Information Technologies
- Coordinated Innovation Center for Computable Modeling in Management Science Tianjin University of Finance and Economics
- Issue: Vol 40, No 4 (2019)
- Pages: 425-438
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204234
- DOI: https://doi.org/10.1134/S199508021904005X
- ID: 204234
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
R. Z. Dautov
Institute of Computational Mathematics and Information Technologies
Author for correspondence.
Email: rafail.dautov@gmail.com
Russian Federation, Kazan, Tatarstan, 420008
A. V. Lapin
Institute of Computational Mathematics and Information Technologies; Coordinated Innovation Center for Computable Modeling in Management Science Tianjin University of Finance and Economics
Author for correspondence.
Email: avlapine@mail.ru
Russian Federation, Kazan, Tatarstan, 420008; Tianjin, 300222
