КФУ. Карточка публикации. Hybridized Schemes of the Discontinuous Galerkin Method for Stationary Convection

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HYBRIDIZED SCHEMES OF THE DISCONTINUOUS GALERKIN METHOD FOR STATIONARY CONVECTION&NDASH;DIFFUSION PROBLEMS

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2016

Язык

английский

Авторы, сотрудники КФУ

Федотов Евгений Михайлович, автор

Библиографическое описание на языке оригинала

Dautov R. Z., FedotovE. M. Hybridized Schemes of the Discontinuous Galerkin Method for Stationary Convection–Diffusion Problems // Differential Equations, 2016, Vol. 52, No. 7, pp. 906–925.

Аннотация

For stationary linear convection–diffusion problems, we construct and study a new hybridized scheme of the discontinuous Galerkin method on the basis of an extended mixed statement of the problem. Discrete schemes can be used for the solution of equations degenerating in the leading part and are stated via approximations to the solution of the problem, its gradient, the flow, and the restriction of the solution to the boundaries of elements. For the spaces of finite elements, we represent minimal conditions responsible for the solvability, stability, accuracy, and superconvergence of the schemes. A new procedure for the post-processing of solutions of HDG-schemes is suggested.

Ключевые слова

Differential equations, Galerkin method, solvability, stability, accuracy, superconvergence

Название журнала

Differential Equations

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https://repository.kpfu.ru/?p_id=137330

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Федотов Евгений Михайлович	ru_RU
dc.date.accessioned	2016-01-01T00:00:00Z	ru_RU
dc.date.available	2016-01-01T00:00:00Z	ru_RU
dc.date.issued	2016	ru_RU
dc.identifier.citation	Dautov R. Z., FedotovE. M. Hybridized Schemes of the Discontinuous Galerkin Method for Stationary Convection–Diffusion Problems // Differential Equations, 2016, Vol. 52, No. 7, pp. 906–925.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=137330	ru_RU
dc.description.abstract	Differential Equations	ru_RU
dc.description.abstract	For stationary linear convection–diffusion problems, we construct and study a new hybridized scheme of the discontinuous Galerkin method on the basis of an extended mixed statement of the problem. Discrete schemes can be used for the solution of equations degenerating in the leading part and are stated via approximations to the solution of the problem, its gradient, the flow, and the restriction of the solution to the boundaries of elements. For the spaces of finite elements, we represent minimal conditions responsible for the solvability, stability, accuracy, and superconvergence of the schemes. A new procedure for the post-processing of solutions of HDG-schemes is suggested.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Differential equations	ru_RU
dc.subject	Galerkin method	ru_RU
dc.subject	solvability	ru_RU
dc.subject	stability	ru_RU
dc.subject	accuracy	ru_RU
dc.subject	superconvergence	ru_RU
dc.title	Hybridized Schemes of the Discontinuous Galerkin Method for Stationary Convection–Diffusion Problems	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU