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A Petrov-Galerkin enriched method: a mass conservative finite element method for the Darcy equation

Barrenechea, G.R. and Franca, L.P. and Valentin, F. (2007) A Petrov-Galerkin enriched method: a mass conservative finite element method for the Darcy equation. Journal of Sound and Vibration, 196 (21-24). pp. 2449-2464. ISSN 0022-460X

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Abstract

Starting from the non-stable p1/p0 discretization we build enhanced methods for the Darcy equation which are stable and locally mass-conservative. The methods are derived in a Petrov-Galerkin framework where both velocity and pressure trial spaces are enriched with multiscale functions. These functions solve local problems correcting the residuals of the strong equations in each element and interior edge, which leads to a velocity space enhanced with functions belonging to the lowest order Raviart-Thomas space. Several numerical tests validate the methods.

Item type: Article
ID code: 4884
Keywords: Darcy equation, finite element, Petrov-Galerkin method, enriching spaces, multiscales, applied mathematics, engineering, Mathematics, Engineering (General). Civil engineering (General)
Subjects: Science > Mathematics
Technology > Engineering (General). Civil engineering (General)
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 27 Nov 2007
    Last modified: 12 Mar 2012 10:41
    URI: http://strathprints.strath.ac.uk/id/eprint/4884

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