KFU. Card publication. On inf-sup conditions and projections in the theory of mixed finite-element methods

KAZAN
FEDERAL UNIVERSITY

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ON INF-SUP CONDITIONS AND PROJECTIONS IN THE THEORY OF MIXED FINITE-ELEMENT METHODS

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., On inf-sup conditions and projections in the theory of mixed finite-element methods//DIFFERENTIAL EQUATIONS. - 2014. - Vol.50, Is.7. - P.899-912.

Annotation

We indicate constraints on the space of finite elements providing the validity of discrete inf?sup conditions and the existence of projections specific for mixed finite-element methods. We consider both conformal and nonconformal approximations. We suggest a definition of special projections onto the vector space of finite elements which provides their existence under quite general conditions without determining the degrees of freedom of the elements.

Keywords

inf-sup condition, mixed finite-element method

The name of the journal

Differential Equations

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

https://repository.kpfu.ru/eng/?p_id=123940&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., On inf-sup conditions and projections in the theory of mixed finite-element methods//DIFFERENTIAL EQUATIONS. - 2014. - Vol.50, Is.7. - P.899-912.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=123940&p_lang=2	ru_RU
dc.description.abstract	Differential Equations	ru_RU
dc.description.abstract	We indicate constraints on the space of finite elements providing the validity of discrete inf?sup conditions and the existence of projections specific for mixed finite-element methods. We consider both conformal and nonconformal approximations. We suggest a definition of special projections onto the vector space of finite elements which provides their existence under quite general conditions without determining the degrees of freedom of the elements.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	inf-sup condition	ru_RU
dc.subject	mixed finite-element method	ru_RU
dc.title	On inf-sup conditions and projections in the theory of mixed finite-element methods	ru_RU
dc.type	Articles in international journals and collections	ru_RU