Электронный архив

Penalty Methods for One-Sided Parabolic Problems with Piecewise Smooth Obstacles

Показать сокращенную информацию

dc.contributor.author Dautov R.Z.
dc.date.accessioned 2022-02-09T20:43:14Z
dc.date.available 2022-02-09T20:43:14Z
dc.date.issued 2021
dc.identifier.issn 1995-0802
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/169801
dc.description.abstract Abstract: We give a relatively complete analysis of the penalty methods for one-sided parabolic problems with piecewise smooth obstacles, which include an important subclass of polyhedra. It is shown that the original variational inequality can be equivalently formulated as unconstrained variational inequality with a locally Lipschitz functional, which has a different form for convex and non-convex obstacles. The regularity of the solution of the problem in the case of convex obstacles is investigated. The penalty method is obtained by regularizing a non-differentiable functional by a differentiable one. In comparison with the known methods, the penalty operator obtained in this way in the case of non-convex obstacles includes an additional (less regular) term. The accuracy of the constructed penalty methods is investigated in uniform and energy norms. The additional term in the penalty operator made it possible to obtain accuracy estimates of the same order as in the case of smooth obstacles.
dc.relation.ispartofseries Lobachevskii Journal of Mathematics
dc.subject accuracy estimate
dc.subject obstacle problem
dc.subject parabolic variational inequality
dc.subject penalty method
dc.subject regularization method
dc.title Penalty Methods for One-Sided Parabolic Problems with Piecewise Smooth Obstacles
dc.type Article
dc.relation.ispartofseries-issue 7
dc.relation.ispartofseries-volume 42
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 1643
dc.source.id SCOPUS19950802-2021-42-7-SID85112237618


Файлы в этом документе

Данный элемент включен в следующие коллекции

  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

Показать сокращенную информацию

Поиск в электронном архиве


Расширенный поиск

Просмотр

Моя учетная запись

Статистика