On Convergence of the Explicit Difference Scheme for Evolution Variational Inequality with Nonlocal Space Operator
Nonlinear parabolic variational inequality with a nonlocal space operator monotone with respect to the gradient is considered. Using the methods of penalty and summatory identities, explicit difference scheme with respect to the space operator and implicit difference scheme with respect to the penal...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2015-12-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
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| Online Access: | https://kpfu.ru/portal/docs/F1468542724/157_4_phys_mat_1.pdf |
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| _version_ | 1841563209700474880 |
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| author | O.V. Glazyrina M.F. Pavlova |
| author_facet | O.V. Glazyrina M.F. Pavlova |
| author_sort | O.V. Glazyrina |
| collection | DOAJ |
| description | Nonlinear parabolic variational inequality with a nonlocal space operator monotone with respect to the gradient is considered. Using the methods of penalty and summatory identities, explicit difference scheme with respect to the space operator and implicit difference scheme with respect to the penalty operator are constructed. Conditions of stability for the constructed difference scheme are obtained. The theorem of convergence is proved under minimal assumptions on the smoothness of the original data. |
| format | Article |
| id | doaj-art-4f2be5812025415191ae3107236f34d8 |
| institution | Kabale University |
| issn | 2541-7746 2500-2198 |
| language | English |
| publishDate | 2015-12-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj-art-4f2be5812025415191ae3107236f34d82025-01-03T00:06:51ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982015-12-011574523On Convergence of the Explicit Difference Scheme for Evolution Variational Inequality with Nonlocal Space OperatorO.V. Glazyrina0M.F. Pavlova1Kazan Federal University, Kazan, 420008 RussiaKazan Federal University, Kazan, 420008 RussiaNonlinear parabolic variational inequality with a nonlocal space operator monotone with respect to the gradient is considered. Using the methods of penalty and summatory identities, explicit difference scheme with respect to the space operator and implicit difference scheme with respect to the penalty operator are constructed. Conditions of stability for the constructed difference scheme are obtained. The theorem of convergence is proved under minimal assumptions on the smoothness of the original data.https://kpfu.ru/portal/docs/F1468542724/157_4_phys_mat_1.pdfvariational inequalityoperator monotone with respect to gradientnonlocal operatorexplicit difference scheme with penalty operatorstabilityconvergence |
| spellingShingle | O.V. Glazyrina M.F. Pavlova On Convergence of the Explicit Difference Scheme for Evolution Variational Inequality with Nonlocal Space Operator Учёные записки Казанского университета: Серия Физико-математические науки variational inequality operator monotone with respect to gradient nonlocal operator explicit difference scheme with penalty operator stability convergence |
| title | On Convergence of the Explicit Difference Scheme for Evolution Variational Inequality with Nonlocal Space Operator |
| title_full | On Convergence of the Explicit Difference Scheme for Evolution Variational Inequality with Nonlocal Space Operator |
| title_fullStr | On Convergence of the Explicit Difference Scheme for Evolution Variational Inequality with Nonlocal Space Operator |
| title_full_unstemmed | On Convergence of the Explicit Difference Scheme for Evolution Variational Inequality with Nonlocal Space Operator |
| title_short | On Convergence of the Explicit Difference Scheme for Evolution Variational Inequality with Nonlocal Space Operator |
| title_sort | on convergence of the explicit difference scheme for evolution variational inequality with nonlocal space operator |
| topic | variational inequality operator monotone with respect to gradient nonlocal operator explicit difference scheme with penalty operator stability convergence |
| url | https://kpfu.ru/portal/docs/F1468542724/157_4_phys_mat_1.pdf |
| work_keys_str_mv | AT ovglazyrina onconvergenceoftheexplicitdifferenceschemeforevolutionvariationalinequalitywithnonlocalspaceoperator AT mfpavlova onconvergenceoftheexplicitdifferenceschemeforevolutionvariationalinequalitywithnonlocalspaceoperator |