Kazan Federal University Digital Repository

Approximations of Evolutionary Inequality with Lipschitz-continuous Functional and Minimally Regular Input Data

Show simple item record

dc.contributor.author Dautov R.
dc.contributor.author Lapin A.
dc.date.accessioned 2020-01-15T22:00:36Z
dc.date.available 2020-01-15T22:00:36Z
dc.date.issued 2019
dc.identifier.issn 1995-0802
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/156480
dc.description.abstract © 2019, Pleiades Publishing, Ltd. 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.
dc.relation.ispartofseries Lobachevskii Journal of Mathematics
dc.subject Evolutionary inequality
dc.subject fully discrete problem
dc.subject parabolic variational inequality
dc.subject regularization method
dc.subject Rothe scheme
dc.subject semidicrete Galerkin scheme
dc.title Approximations of Evolutionary Inequality with Lipschitz-continuous Functional and Minimally Regular Input Data
dc.type Article
dc.relation.ispartofseries-issue 4
dc.relation.ispartofseries-volume 40
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 425
dc.source.id SCOPUS19950802-2019-40-4-SID85066939248


Files in this item

This item appears in the following Collection(s)

  • Публикации сотрудников КФУ Scopus [20180]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

Show simple item record

Search DSpace


Advanced Search

Browse

My Account