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Volume 7, Issue 4
Local Projection Finite Element Stabilization for Darcy Flow

K. Nafa

Int. J. Numer. Anal. Mod., 7 (2010), pp. 656-666.

Published online: 2010-07

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  • 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.

  • Keywords

Stabilized finite elements, Darcy equations, convergence, error estimates.

  • AMS Subject Headings

65N12, 65N30, 65N15, 76D07

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-7-656, author = {K. Nafa}, title = {Local Projection Finite Element Stabilization for Darcy Flow}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2010}, volume = {7}, number = {4}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/744.html} }
TY - JOUR T1 - Local Projection Finite Element Stabilization for Darcy Flow AU - K. Nafa JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 656 EP - 666 PY - 2010 DA - 2010/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/744.html KW - Stabilized finite elements, Darcy equations, convergence, error estimates. AB -

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.

K. Nafa. (2010). Local Projection Finite Element Stabilization for Darcy Flow. International Journal of Numerical Analysis and Modeling. 7 (4). 656-666. doi:
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