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Investigation of Lagrange–Galerkin Method for an Obstacle Parabolic Problem

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dc.contributor.author Dautov R.
dc.contributor.author Lapin A.
dc.date.accessioned 2019-01-22T20:51:51Z
dc.date.available 2019-01-22T20:51:51Z
dc.date.issued 2018
dc.identifier.issn 1995-0802
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/149154
dc.description.abstract © 2018, Pleiades Publishing, Ltd. The convergence and accuracy estimates are proved for Lagrange–Galerkin method, used for approximating the parabolic obstacle problem. The convergence analysis is based on the comparison of the solutions of Lagrange–Galerkin and backward Euler approximation schemes. First order in time step estimate for the difference of the solutions for above schemes in energy norm is proved under sufficiently weak requirements for the smoothness of the initial data. First order in time and space steps accuracy estimate for Lagrange–Galerkin method is derived in the case of discontinuous time derivative of the exact solution.
dc.relation.ispartofseries Lobachevskii Journal of Mathematics
dc.subject diffusion-convection operator
dc.subject finite element method
dc.subject Lagrange–Galerkin method
dc.subject Parabolic variational inequality
dc.title Investigation of Lagrange–Galerkin Method for an Obstacle Parabolic Problem
dc.type Article
dc.relation.ispartofseries-issue 7
dc.relation.ispartofseries-volume 39
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 884
dc.source.id SCOPUS19950802-2018-39-7-SID85053524191

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  • Публикации сотрудников КФУ Scopus [22633]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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