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)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1348-1360
Number of pages	13
Journal	Numerical Methods for Partial Differential Equations
Volume	22
Issue number	6
DOIs	https://doi.org/10.1002/num.20157
State	Published - Nov 2006

Keywords

Mixed hybrid nodal finite elements
Raviart-Thomas schemes

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10.1002/num.20157

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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.",

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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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DO - 10.1002/num.20157

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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

Abstract

Keywords

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