Approximations of Evolutionary Inequality with Lipschitz-continuous Functional and Minimally Regular Input Data
- 作者: Dautov R.1, Lapin A.1,2
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隶属关系:
- Institute of Computational Mathematics and Information Technologies
- Coordinated Innovation Center for Computable Modeling in Management Science Tianjin University of Finance and Economics
- 期: 卷 40, 编号 4 (2019)
- 页面: 425-438
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204234
- DOI: https://doi.org/10.1134/S199508021904005X
- ID: 204234
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详细
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.
作者简介
R. Dautov
Institute of Computational Mathematics and Information Technologies
编辑信件的主要联系方式.
Email: rafail.dautov@gmail.com
俄罗斯联邦, 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
编辑信件的主要联系方式.
Email: avlapine@mail.ru
俄罗斯联邦, Kazan, Tatarstan, 420008; Tianjin, 300222