KFU. Card publication. Hybridized schemes of the discontinuous Galerkin method for stationary convection-diffusion problems

KAZAN
FEDERAL UNIVERSITY

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- 中文
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HYBRIDIZED SCHEMES OF THE DISCONTINUOUS GALERKIN METHOD FOR STATIONARY CONVECTION-DIFFUSION PROBLEMS

Form of presentation

Articles in international journals and collections

Year of publication

2016

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Authors, employees of KFU

Dautov Rafail Zamilovich, author

Bibliographic description in the original language

Dautov R.Z, Fedotov E.M., Hybridized schemes of the discontinuous Galerkin method for stationary convection-diffusion problems//Differential Equations. - 2016. - Vol.52, Is.7. - P.906-925.

Annotation

An abstract theory for discretizations of second order quasilinear elliptic problems based on the mixed hybrid discontinuous Galerkin method. Discrete schemes are formulated in terms of approximations of the solution to the problem, its gradient, flux, and the trace of the solution on the interelement boundaries. Stability and optimal error estimates are obtained under minimal assump tions on the approximating space. It is shown that the schemes admit an efficient numerical imple mentation.

Keywords

Hybridized scheme, discontinuous Galerkin method, convection-diffusion problems

The name of the journal

Differential Equations

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84981225512&partnerID=40&md5=613e9c05a2150ec912f99597631acc55

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

https://repository.kpfu.ru/eng/?p_id=136141&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Dautov Rafail Zamilovich	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, Fedotov E.M., Hybridized schemes of the discontinuous Galerkin method for stationary convection-diffusion problems//Differential Equations. - 2016. - Vol.52, Is.7. - P.906-925.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=136141&p_lang=2	ru_RU
dc.description.abstract	Differential Equations	ru_RU
dc.description.abstract	An abstract theory for discretizations of second order quasilinear elliptic problems based on the mixed hybrid discontinuous Galerkin method. Discrete schemes are formulated in terms of approximations of the solution to the problem, its gradient, flux, and the trace of the solution on the interelement boundaries. Stability and optimal error estimates are obtained under minimal assump tions on the approximating space. It is shown that the schemes admit an efficient numerical imple mentation.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Hybridized scheme	ru_RU
dc.subject	discontinuous Galerkin method	ru_RU
dc.subject	convection-diffusion problems	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