KFU. Card publication. Abstract Theory of Hybridizable Discontinuous Galerkin Methods for Second-Order Quasilinear Elliptic Problems

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FEDERAL UNIVERSITY

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ABSTRACT THEORY OF HYBRIDIZABLE DISCONTINUOUS GALERKIN METHODS FOR SECOND-ORDER QUASILINEAR ELLIPTIC PROBLEMS

Form of presentation

Articles in international journals and collections

Year of publication

2014

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Authors, employees of KFU

Dautov Rafail Zamilovich, author

Bibliographic description in the original language

Dautov R. Z., Fedotov E. M., Abstract Theory of Hybridizable Discontinuous Galerkin Methods for Second-Order Quasilinear Elliptic Problems//COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. - 2014. - Vol.54, Is.3. - P.474-490.

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

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

The name of the journal

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS

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

https://repository.kpfu.ru/eng/?p_id=123939&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Dautov Rafail Zamilovich	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	Dautov R. Z., Fedotov E. M., Abstract Theory of Hybridizable Discontinuous Galerkin Methods for Second-Order Quasilinear Elliptic Problems//COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. - 2014. - Vol.54, Is.3. - P.474-490.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=123939&p_lang=2	ru_RU
dc.description.abstract	COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS	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	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	Abstract Theory of Hybridizable Discontinuous Galerkin Methods for Second-Order Quasilinear Elliptic Problems	ru_RU
dc.type	Articles in international journals and collections	ru_RU