KFU. Card publication. Hybridizable Discontinuous Galerkin Methods for Second Order Quasilinear Elliptic Problems

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

HYBRIDIZABLE DISCONTINUOUS GALERKIN METHODS FOR SECOND ORDER QUASILINEAR ELLIPTIC PROBLEMS

Form of presentation

Articles in international journals and collections

Year of publication

2014

��

��

Authors, employees of KFU

Fedotov Evgeniy Mikhaylovich, author

Bibliographic description in the original language

R. Z. Dautov and E. M. Fedotov Abstract Theory of Hybridizable Discontinuous Galerkin Methods for Second Order Quasilinear Elliptic Problems // ISSN 0965-5425, Computational Mathematics and Mathematical Physics, 2014, Vol. 54, No. 3, pp. 474–490. Pleiades Publishing, Ltd., 2014. Original Russian Text R.Z. Dautov, E.M. Fedotov, 2014, published in Zhurnal Vychislitel"noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 3, pp. 463–480.

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 assumptions on the approximating space. It is shown that the schemes admit an efficient numerical implementation.

Keywords

discontinuous Galerkin method, hybridizable discontinuous Galerkin schemes, mixed method, quasilinear elliptic equations, error estimate, LBB condition.

The name of the journal

COMP MATH MATH PHYS+

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

https://repository.kpfu.ru/eng/?p_id=79866&p_lang=2

Resource files

File name	Size (MB)	Format
Abstract.HDG.for.2.order.Quasilinear.PDE_DRZ_FEM.pdf	0,40	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Fedotov Evgeniy Mikhaylovich	ru_RU
dc.date.accessioned	2014-01-01T00:00:00Z	ru_RU
dc.date.available	2014-01-01T00:00:00Z	ru_RU
dc.date.issued	2014	ru_RU
dc.identifier.citation	R. Z. Dautov and E. M. Fedotov Abstract Theory of Hybridizable Discontinuous Galerkin Methods for Second Order Quasilinear Elliptic Problems // ISSN 0965-5425, Computational Mathematics and Mathematical Physics, 2014, Vol. 54, No. 3, pp. 474–490. Pleiades Publishing, Ltd., 2014. Original Russian Text R.Z. Dautov, E.M. Fedotov, 2014, published in Zhurnal Vychislitel"noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 3, pp. 463–480.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=79866&p_lang=2	ru_RU
dc.description.abstract	COMP MATH MATH PHYS+	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 assumptions on the approximating space. It is shown that the schemes admit an efficient numerical implementation.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	discontinuous Galerkin method	ru_RU
dc.subject	hybridizable discontinuous Galerkin schemes	ru_RU
dc.subject	mixed method	ru_RU
dc.subject	quasilinear elliptic equations	ru_RU
dc.subject	error estimate	ru_RU
dc.subject	LBB condition.	ru_RU
dc.title	Hybridizable Discontinuous Galerkin Methods for Second Order Quasilinear Elliptic Problems	ru_RU
dc.type	Articles in international journals and collections	ru_RU