КФУ. Карточка публикации. Hybridizable Discontinuous Galerkin Methods for Second Order Quasilinear Elliptic Problems

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HYBRIDIZABLE DISCONTINUOUS GALERKIN METHODS FOR SECOND ORDER QUASILINEAR ELLIPTIC PROBLEMS

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2014

Язык

русский

Авторы, сотрудники КФУ

Федотов Евгений Михайлович, автор

Библиографическое описание на языке оригинала

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.

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

Ключевые слова

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

Название журнала

COMP MATH MATH PHYS+

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https://repository.kpfu.ru/?p_id=79866

Файлы ресурса

Название файла	Размер (Мб)	Формат
Abstract.HDG.for.2.order.Quasilinear.PDE_DRZ_FEM.pdf	0,40	pdf	посмотреть / скачать

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Федотов Евгений Михайлович	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/?p_id=79866	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	Статьи в зарубежных журналах и сборниках	ru_RU