КФУ. Карточка публикации. Abstract Theory of Hybridizable Discontinuous Galerkin Methods for Second-Order Quasilinear Elliptic Problems

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

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2014

Язык

английский

Авторы, сотрудники КФУ

Даутов Рафаил Замилович, автор

Библиографическое описание на языке оригинала

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.

Аннотация

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.

Ключевые слова

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

Название журнала

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS

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https://repository.kpfu.ru/?p_id=123939

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Даутов Рафаил Замилович	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/?p_id=123939	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	Статьи в зарубежных журналах и сборниках	ru_RU