FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W239969476> ?p ?o ?g. }

• W239969476 endingPage "44" @default.
• W239969476 startingPage "1" @default.
• W239969476 abstract "The mathematical analysis and applications of mixed finite element methods have been widely developed since the seventies. A general analysis for this kind of methods was first developed by Brezzi [13]. We also have to mention the papers by Babuška [9] and by Crouzeix and Raviart [22] which, although for particular problems, introduced some of the fundamental ideas for the analysis of mixed methods. We also refer the reader to [32, 31], where general results were obtained, and to the books [17, 45, 37]. The rest of this work is organized as follows: in Sect. 2 we review some basic tools for the analysis of finite element methods. Section 3 deals with the mixed formulation of second order elliptic problems and their finite element approximation. We introduce the Raviart–Thomas spaces [44, 49, 41] and their generalization to higher dimensions, prove some of their basic properties, and construct the Raviart–Thomas interpolation operator which is a basic tool for the analysis of mixed methods. Then, we prove optimal order error estimates and a superconvergence result for the scalar variable. We follow the ideas developed in several papers (see for example [24, 16]). Although for simplicity we consider the Raviart–Thomas spaces, the error analysis depends only on some basic properties of the spaces and the interpolation operator, and therefore, analogous results hold for approximations obtained with other finite element spaces. We end the section recalling other known families of spaces and giving some references. In Sect. 4 we introduce an a posteriori error estimator and prove its equivalence with an appropriate norm of the error up to higher order terms. For simplicity, we present the a posteriori error analysis only in the 2-d case. Finally, in Sect. 5, we introduce the general abstract setting for mixed formulations and prove general existence and approximation results." @default.
• W239969476 created "2016-06-24" @default.
• W239969476 creator A5011709693 @default.
• W239969476 date "2008-01-01" @default.
• W239969476 modified "2023-10-16" @default.
• W239969476 title "Mixed Finite Element Methods" @default.
• W239969476 cites W136185420 @default.
• W239969476 cites W1866311589 @default.
• W239969476 cites W1969329990 @default.
• W239969476 cites W1993064848 @default.
• W239969476 cites W1993479036 @default.
• W239969476 cites W1997325620 @default.
• W239969476 cites W2015148405 @default.
• W239969476 cites W2024326406 @default.
• W239969476 cites W2040933131 @default.
• W239969476 cites W2051682834 @default.
• W239969476 cites W2053162126 @default.
• W239969476 cites W2059465899 @default.
• W239969476 cites W2060076025 @default.
• W239969476 cites W2062002217 @default.
• W239969476 cites W2062618977 @default.
• W239969476 cites W2064909895 @default.
• W239969476 cites W2066909767 @default.
• W239969476 cites W2069697314 @default.
• W239969476 cites W2074783170 @default.
• W239969476 cites W2079859645 @default.
• W239969476 cites W2143283017 @default.
• W239969476 cites W2172016689 @default.
• W239969476 cites W2243987378 @default.
• W239969476 cites W2299422535 @default.
• W239969476 cites W2381246980 @default.
• W239969476 cites W2464997744 @default.
• W239969476 cites W2491027544 @default.
• W239969476 cites W2519971170 @default.
• W239969476 cites W2592623476 @default.
• W239969476 cites W280547473 @default.
• W239969476 cites W3149667697 @default.
• W239969476 cites W4210300254 @default.
• W239969476 cites W4237575966 @default.
• W239969476 cites W4242794827 @default.
• W239969476 cites W4245007249 @default.
• W239969476 cites W4252104256 @default.
• W239969476 cites W4292166829 @default.
• W239969476 doi "https://doi.org/10.1007/978-3-540-78319-0_1" @default.
• W239969476 hasPublicationYear "2008" @default.
• W239969476 type Work @default.
• W239969476 sameAs 239969476 @default.
• W239969476 citedByCount "15" @default.
• W239969476 countsByYear W2399694762012 @default.
• W239969476 countsByYear W2399694762013 @default.
• W239969476 countsByYear W2399694762014 @default.
• W239969476 countsByYear W2399694762017 @default.
• W239969476 countsByYear W2399694762018 @default.
• W239969476 countsByYear W2399694762019 @default.
• W239969476 countsByYear W2399694762022 @default.
• W239969476 countsByYear W2399694762023 @default.
• W239969476 crossrefType "book-chapter" @default.
• W239969476 hasAuthorship W239969476A5011709693 @default.
• W239969476 hasBestOaLocation W2399694762 @default.
• W239969476 hasConcept C104317684 @default.
• W239969476 hasConcept C111472728 @default.
• W239969476 hasConcept C111919701 @default.
• W239969476 hasConcept C121332964 @default.
• W239969476 hasConcept C121684516 @default.
• W239969476 hasConcept C135628077 @default.
• W239969476 hasConcept C136119220 @default.
• W239969476 hasConcept C137800194 @default.
• W239969476 hasConcept C138885662 @default.
• W239969476 hasConcept C144468803 @default.
• W239969476 hasConcept C158448853 @default.
• W239969476 hasConcept C17020691 @default.
• W239969476 hasConcept C185592680 @default.
• W239969476 hasConcept C199343813 @default.
• W239969476 hasConcept C202444582 @default.
• W239969476 hasConcept C2777686260 @default.
• W239969476 hasConcept C2780129039 @default.
• W239969476 hasConcept C28826006 @default.
• W239969476 hasConcept C33923547 @default.
• W239969476 hasConcept C41008148 @default.
• W239969476 hasConcept C502989409 @default.
• W239969476 hasConcept C55493867 @default.
• W239969476 hasConcept C71924100 @default.
• W239969476 hasConcept C75553542 @default.
• W239969476 hasConcept C83295009 @default.
• W239969476 hasConcept C86339819 @default.
• W239969476 hasConcept C97355855 @default.
• W239969476 hasConceptScore W239969476C104317684 @default.
• W239969476 hasConceptScore W239969476C111472728 @default.
• W239969476 hasConceptScore W239969476C111919701 @default.
• W239969476 hasConceptScore W239969476C121332964 @default.
• W239969476 hasConceptScore W239969476C121684516 @default.
• W239969476 hasConceptScore W239969476C135628077 @default.
• W239969476 hasConceptScore W239969476C136119220 @default.
• W239969476 hasConceptScore W239969476C137800194 @default.
• W239969476 hasConceptScore W239969476C138885662 @default.
• W239969476 hasConceptScore W239969476C144468803 @default.
• W239969476 hasConceptScore W239969476C158448853 @default.
• W239969476 hasConceptScore W239969476C17020691 @default.

• next