Year: 2010
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 4 : pp. 656–666
Abstract
Local projection based stabilized finite element methods for the solution of Darcy flow offer several advantages as compared to mixed Galerkin methods. In particular, the avoidance of stability conditions between finite element spaces, the efficiency in solving the reduced linear algebraic system, and the convenience of using equal order continuous approximations for all variables. In this paper we analyze the pressure gradient method for Darcy flow and investigate its stability and convergence properties.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-IJNAM-744
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 4 : pp. 656–666
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Stabilized finite elements Darcy equations convergence error estimates.