H(div) and H(curl)-conforming virtual element methods

Autor:	L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo
Přispěvatelé:	BEIRAO DA VEIGA, L, Brezzi, F, Marini, L, Russo, A
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	Elliptic problems Virtual element methods Diffusion problems 65N30 Mimetic discretizations 65N99 65-XX Polyhedral meshes virtual elements exact sequences
Zdroj:	Numerische Mathematik 133 (2016): 303–332. doi:10.1007/s00211-015-0746-1 info:cnr-pdr/source/autori:L. Beirao da Veiga, F. Brezzi, L.D. Marini, and A. Russo/titolo:H(div) and H(curl)-conforming virtual element methods/doi:10.1007%2Fs00211-015-0746-1/rivista:Numerische Mathematik/anno:2016/pagina_da:303/pagina_a:332/intervallo_pagine:303–332/volume:133
DOI:	10.1007/s00211-015-0746-1
Popis:	In the present paper we construct virtual element spaces that are (Formula presented.) -conforming and (Formula presented.) -conforming on general polygonal and polyhedral elements; these spaces can be interpreted as a generalization of well known finite elements. We moreover present the basic tools needed to make use of these spaces in the approximation of partial differential equations. Finally, we discuss the construction of exact sequences of VEM spaces.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::7070bad314c8e7adafb6c3126a51e853 http://hdl.handle.net/10281/98166 Zobrazit plný text záznamu