КФУ. Карточка публикации. A Convergence of an Implicit Difference Scheme for the Saturated«Unsaturated Filtration Consolidation Problem

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A CONVERGENCE OF AN IMPLICIT DIFFERENCE SCHEME FOR THE SATURATED&LAQUO;UNSATURATED FILTRATION CONSOLIDATION PROBLEM

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2013

Язык

английский

Авторы, сотрудники КФУ

Павлова Мария Филипповна, автор

Рунг Елена Владимировна, автор

Библиографическое описание на языке оригинала

Pavlova M.F. A Convergence of an Implicit Difference Scheme for the Saturated–Unsaturated Filtration Consolidation Problem / M.F.Pavlova, E.V.Rung // Lobachevskii Journal of Mathematics.- 2013.- Vol. 34.-№ 4, pp. 392–405.

Аннотация

|We prove the existence of a solution of the initial{boundary value roblem modeling the process of liquid ¯ltration in a viscoelastic medium in the case of semipermeability on part of the boundary. To determine the generalized solution, we use the Kirchho? transform. We consider the case (most often used in applications) in which the range of the Kirchhof function is only part of the real line. To prove the existence theorem, we use the method of the semidiscretization with respect to the variable t and the Galerkin method.

Ключевые слова

filtration consolidation, difference schemes, penalty method, convergence of a difference scheme

Название журнала

Lobachevskii Journal of Mathematics

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https://repository.kpfu.ru/?p_id=69979

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Павлова Мария Филипповна	ru_RU
dc.contributor.author	Рунг Елена Владимировна	ru_RU
dc.date.accessioned	2013-01-01T00:00:00Z	ru_RU
dc.date.available	2013-01-01T00:00:00Z	ru_RU
dc.date.issued	2013	ru_RU
dc.identifier.citation	Pavlova M.F. A Convergence of an Implicit Difference Scheme for the Saturated–Unsaturated Filtration Consolidation Problem / M.F.Pavlova, E.V.Rung // Lobachevskii Journal of Mathematics.- 2013.- Vol. 34.-№ 4, pp. 392–405.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=69979	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	\|We prove the existence of a solution of the initial{boundary value roblem modeling the process of liquid ¯ltration in a viscoelastic medium in the case of semipermeability on part of the boundary. To determine the generalized solution, we use the Kirchho? transform. We consider the case (most often used in applications) in which the range of the Kirchhof function is only part of the real line. To prove the existence theorem, we use the method of the semidiscretization with respect to the variable t and the Galerkin method.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	filtration consolidation	ru_RU
dc.subject	difference schemes	ru_RU
dc.subject	penalty method	ru_RU
dc.subject	convergence of a difference scheme	ru_RU
dc.title	A Convergence of an Implicit Difference Scheme for the Saturated«Unsaturated Filtration Consolidation Problem	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU