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Application of the control volume mixed finite element method to a triangular discretization

International Journal for Numerical Methods in Engineering

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DOI: 10.1002/nme.3265

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Abstract

A two-dimensional control volume mixed finite element method is applied to the elliptic equation. Discretization of the computational domain is based in triangular elements. Shape functions and test functions are formulated on the basis of an equilateral reference triangle with unit edges. A pressure support based on the linear interpolation of elemental edge pressures is used in this formulation. Comparisons are made between results from the standard mixed finite element method and this control volume mixed finite element method. Published 2011. This article is a US Government work and is in the public domain in the USA. ?? 2012 John Wiley & Sons, Ltd. This article is a US Government work and is in the public domain in the USA.

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Application of the control volume mixed finite element method to a triangular discretization
Series title:
International Journal for Numerical Methods in Engineering
DOI:
10.1002/nme.3265
Volume
89
Issue:
7
Year Published:
2012
Language:
English
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
First page:
846
Last page:
868
Number of Pages:
23