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Limit Galerkin-Petrov Schemes for a Nonlinear Convection-Diffusion Equation

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dc.contributor.author Fedotov E.
dc.date.accessioned 2018-09-18T20:03:05Z
dc.date.available 2018-09-18T20:03:05Z
dc.date.issued 2010
dc.identifier.issn 0012-2661
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/136066
dc.description.abstract In the present paper, we suggest a version of the nonconformal finite-element method (a perturbed Galerkin method) for approximating a quasilinear convection-diffusion equation in divergence form. A grid scheme is constructed with the use of an approach based on the Galerkin-Petrov approximation to the mixed statement of the original problem. The separated coordinate approximation of the solution components for the mixed problem permits one to take into account the direction of convective transport and preserve the main properties of the spatial operator of the original problem. We prove the stability of the line method scheme and a two-layer weighted scheme for the original problem. © 2010 Pleiades Publishing, Ltd.
dc.relation.ispartofseries Differential Equations
dc.title Limit Galerkin-Petrov Schemes for a Nonlinear Convection-Diffusion Equation
dc.type Article
dc.relation.ispartofseries-issue 7
dc.relation.ispartofseries-volume 46
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 1042
dc.source.id SCOPUS00122661-2010-46-7-SID77955777210


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

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