KFU. Card publication. Hybridized Schemes of the Discontinuous Galerkin Method for Stationary Convection

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FEDERAL UNIVERSITY

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

Form of presentation

Articles in international journals and collections

Year of publication

2016

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Authors, employees of KFU

Fedotov Evgeniy Mikhaylovich, author

Bibliographic description in the original language

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.

Annotation

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.

Keywords

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

The name of the journal

Differential Equations

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=137330&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Fedotov Evgeniy Mikhaylovich	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/eng/?p_id=137330&p_lang=2	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	Articles in international journals and collections	ru_RU