TY - JOUR
T1 - A stabilized mixed finite element method for Darcy flow
AU - Masud, Arif
AU - Hughes, Thomas J.R.
N1 - Funding Information:
The authors wish to thank Georgette Hlepas for type-setting the manuscript. A. Masud was supported by NSF grant NSF-CMS-9813386 and ONR grant N00014-02-1-0143. T.J.R. Hughes was supported by ONR grants N00014-99-1-0122-P00002 and P00003 and NASA grants NCC2-5362-2 and NCC2-5457.
PY - 2002/8/30
Y1 - 2002/8/30
N2 - We develop new stabilized mixed finite element methods for Darcy flow. Stability and an a priori error estimate in the "stability norm" are established. A wide variety of convergent finite elements present themselves, unlike the classical Galerkin formulation which requires highly specialized elements. An interesting feature of the formulation is that there are no mesh-dependent parameters. Numerical tests confirm the theoretical results.
AB - We develop new stabilized mixed finite element methods for Darcy flow. Stability and an a priori error estimate in the "stability norm" are established. A wide variety of convergent finite elements present themselves, unlike the classical Galerkin formulation which requires highly specialized elements. An interesting feature of the formulation is that there are no mesh-dependent parameters. Numerical tests confirm the theoretical results.
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U2 - 10.1016/S0045-7825(02)00371-7
DO - 10.1016/S0045-7825(02)00371-7
M3 - Article
AN - SCOPUS:0037200458
VL - 191
SP - 4341
EP - 4370
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0374-2830
IS - 39-40
ER -