KFU. Card publication. A Convergence of an Implicit Difference Scheme for the Saturated«Unsaturated Filtration Consolidation Problem

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

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

Form of presentation

Articles in international journals and collections

Year of publication

2013

��

��

Authors, employees of KFU

Pavlova Mariya Filippovna, author

Rung Elena Vladimirovna, author

Bibliographic description in the original language

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.

Annotation

|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.

Keywords

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

The name of the journal

Lobachevskii Journal of Mathematics

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

https://repository.kpfu.ru/eng/?p_id=69979&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Pavlova Mariya Filippovna	ru_RU
dc.contributor.author	Rung Elena Vladimirovna	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/eng/?p_id=69979&p_lang=2	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	Articles in international journals and collections	ru_RU