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Approximation properties of lowest-order hexahedral Raviart-Thomas finite elements

Approximation properties of lowest-order hexahedral Raviart-Thomas finite elements
Approximation properties of lowest-order hexahedral Raviart-Thomas finite elements
Basic interpolation results are settled for lowest-order hexahedral Raviart–Thomas finite elements. Convergence in H(div) is proved for regular families of asymptotically parallelepiped meshes. The need of the asymptotically parallelepiped assumption is demonstrated with a numerical example. To cite this article: A. Bermúdez et al., C. R. Acad. Sci. Paris, Ser. I 340 (2005).
1631-073X
687-692
Bermudez, Alfredo
c5051da6-b88f-4860-8352-1f524c786d83
Gamallo, Pablo
23ae154c-ad56-480b-8a17-4d5581f10009
Nogueiras, Maria R.
c09d0c9b-e294-47fc-90cf-2d6f193b9d84
Rodriguez, Rodolfo
3049d3a6-9f38-4420-968b-7b110e445425
Bermudez, Alfredo
c5051da6-b88f-4860-8352-1f524c786d83
Gamallo, Pablo
23ae154c-ad56-480b-8a17-4d5581f10009
Nogueiras, Maria R.
c09d0c9b-e294-47fc-90cf-2d6f193b9d84
Rodriguez, Rodolfo
3049d3a6-9f38-4420-968b-7b110e445425

Bermudez, Alfredo, Gamallo, Pablo, Nogueiras, Maria R. and Rodriguez, Rodolfo (2005) Approximation properties of lowest-order hexahedral Raviart-Thomas finite elements. Comptes Rendus Mathematique, 340 (9), 687-692. (doi:10.1016/j.crma.2005.03.023).

Record type: Article

Abstract

Basic interpolation results are settled for lowest-order hexahedral Raviart–Thomas finite elements. Convergence in H(div) is proved for regular families of asymptotically parallelepiped meshes. The need of the asymptotically parallelepiped assumption is demonstrated with a numerical example. To cite this article: A. Bermúdez et al., C. R. Acad. Sci. Paris, Ser. I 340 (2005).

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Published date: May 2005

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Local EPrints ID: 28374
URI: http://eprints.soton.ac.uk/id/eprint/28374
DOI: doi:10.1016/j.crma.2005.03.023
ISSN: 1631-073X
PURE UUID: 4859a785-e355-4fcc-8c2b-655ec52bd6f3

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Date deposited: 03 May 2006
Last modified: 15 Mar 2024 07:24

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Contributors

Author: Alfredo Bermudez
Author: Pablo Gamallo
Author: Maria R. Nogueiras
Author: Rodolfo Rodriguez

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