Mesh-centered finite differences from unconventional mixed-hybrid nodal finite elements

B. E. Flores; J. P. Hennart; E. Del Valle

doi:10.1002/num.20157

Mesh-centered finite differences from unconventional mixed-hybrid nodal finite elements

B. E. Flores, J. P. Hennart, E. Del Valle

Escuela Superior de Física y Matemáticas (ESFM)

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

It is shown how mesh-centered finite differences can be obtained from unconventional mixed-hybrid nodal finite elements. The classical Raviart-Thomas schemes of index k (RTk) are based on interpolation parameters that are cell and/or edge moments. For the unconventional form (URTk ), they become point values at Gaussian points. In particular, the scheme URT1 is fully described.

Idioma original	Inglés
Páginas (desde-hasta)	1348-1360
Número de páginas	13
Publicación	Numerical Methods for Partial Differential Equations
Volumen	22
N.º	6
DOI	https://doi.org/10.1002/num.20157
Estado	Publicada - nov. 2006

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10.1002/num.20157

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title = "Mesh-centered finite differences from unconventional mixed-hybrid nodal finite elements",

abstract = "It is shown how mesh-centered finite differences can be obtained from unconventional mixed-hybrid nodal finite elements. The classical Raviart-Thomas schemes of index k (RTk) are based on interpolation parameters that are cell and/or edge moments. For the unconventional form (URTk ), they become point values at Gaussian points. In particular, the scheme URT1 is fully described.",

keywords = "Mixed hybrid nodal finite elements, Raviart-Thomas schemes",

author = "Flores, {B. E.} and Hennart, {J. P.} and {Del Valle}, E.",

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AU - Hennart, J. P.

AU - Del Valle, E.

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N2 - It is shown how mesh-centered finite differences can be obtained from unconventional mixed-hybrid nodal finite elements. The classical Raviart-Thomas schemes of index k (RTk) are based on interpolation parameters that are cell and/or edge moments. For the unconventional form (URTk ), they become point values at Gaussian points. In particular, the scheme URT1 is fully described.

AB - It is shown how mesh-centered finite differences can be obtained from unconventional mixed-hybrid nodal finite elements. The classical Raviart-Thomas schemes of index k (RTk) are based on interpolation parameters that are cell and/or edge moments. For the unconventional form (URTk ), they become point values at Gaussian points. In particular, the scheme URT1 is fully described.

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KW - Raviart-Thomas schemes

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U2 - 10.1002/num.20157

DO - 10.1002/num.20157

M3 - Artículo

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JO - Numerical Methods for Partial Differential Equations

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Mesh-centered finite differences from unconventional mixed-hybrid nodal finite elements

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