KFU. Card publication. Discontinuous Galerkin schemes for nonstationary convection-diffusion problems

KAZAN
FEDERAL UNIVERSITY

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DISCONTINUOUS GALERKIN SCHEMES FOR NONSTATIONARY CONVECTION-DIFFUSION PROBLEMS

Form of presentation

Articles in international journals and collections

Year of publication

2017

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Authors, employees of KFU

Fedotov Evgeniy Mikhaylovich, author

Bibliographic description in the original language

Dautov R Z and Fedotov E M Discontinuous Galerkin schemes for nonstationary convection-diffusion problems / 11th International Conference on «Mesh methods for boundary-value problems and applications« IOP Publishing.- IOP Conf. Series: Materials Science and Engineering 158 (2016) 012027 doi:10.1088/1757-899X/158/1/012027

Annotation

In this paper we analyse an approximation of linear nonstationary convection-diffusion problem based on combination of discontinues Galerkin method for time discretisa-tion in conjunction with hybridized discontinues Galerkin for spatial approximation. Such dis-crete schemes can be used for the solution of equations degenerating in the leading part and are formulated in term of solution of the problem, its gradient, the diffusional flux, and the re-striction of the solution to the boundaries of elements. Conditions responsible for the solvabil-ity, stability and accuracy of the schemes are presented.

Keywords

Differential equation, finite element method, solvability, stability, accuracy of the mesh scheme

The name of the journal

IOP Conference Series: Materials Science and Engineering

URL

http://iopscience.iop.org/1757-899X/158/1/012027

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

https://repository.kpfu.ru/eng/?p_id=150006&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Fedotov Evgeniy Mikhaylovich	ru_RU
dc.date.accessioned	2017-01-01T00:00:00Z	ru_RU
dc.date.available	2017-01-01T00:00:00Z	ru_RU
dc.date.issued	2017	ru_RU
dc.identifier.citation	Dautov R Z and Fedotov E M Discontinuous Galerkin schemes for nonstationary convection-diffusion problems / 11th International Conference on «Mesh methods for boundary-value problems and applications« IOP Publishing.- IOP Conf. Series: Materials Science and Engineering 158 (2016) 012027 doi:10.1088/1757-899X/158/1/012027	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=150006&p_lang=2	ru_RU
dc.description.abstract	IOP Conference Series: Materials Science and Engineering	ru_RU
dc.description.abstract	In this paper we analyse an approximation of linear nonstationary convection-diffusion problem based on combination of discontinues Galerkin method for time discretisa-tion in conjunction with hybridized discontinues Galerkin for spatial approximation. Such dis-crete schemes can be used for the solution of equations degenerating in the leading part and are formulated in term of solution of the problem, its gradient, the diffusional flux, and the re-striction of the solution to the boundaries of elements. Conditions responsible for the solvabil-ity, stability and accuracy of the schemes are presented.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Differential equation	ru_RU
dc.subject	finite element method	ru_RU
dc.subject	solvability	ru_RU
dc.subject	stability	ru_RU
dc.subject	accuracy of the mesh scheme	ru_RU
dc.title	Discontinuous Galerkin schemes for nonstationary convection-diffusion problems	ru_RU
dc.type	Articles in international journals and collections	ru_RU