TY - JOUR
T1 - Alternating-direction iterative technique for mixed finite element methods for Stokes equations
AU - Gu, Haiming
AU - Wu, Xiaonan
N1 - Funding Information:
This work was supported in part by Foundation of Shandong Province Science and Technology Commission.
PY - 2005/3/25
Y1 - 2005/3/25
N2 - Alternating-direction iterative technique for solving the algebraic systems associated with mixed finite element methods for two- and three-dimensional Stokes equations and the Navier-Stokes equations are formulated. This method, due to Brown [Brown, Alternating-direction iterative schemes for mixed finite element methods for second order elliptic problems, Thesis, University of Chicago, 1982], is related to the Uzawa iterative method for saddle point problems. Stabilization analysis for the Uzawa iterative method is given.
AB - Alternating-direction iterative technique for solving the algebraic systems associated with mixed finite element methods for two- and three-dimensional Stokes equations and the Navier-Stokes equations are formulated. This method, due to Brown [Brown, Alternating-direction iterative schemes for mixed finite element methods for second order elliptic problems, Thesis, University of Chicago, 1982], is related to the Uzawa iterative method for saddle point problems. Stabilization analysis for the Uzawa iterative method is given.
KW - Alternating-direction iteration technique
KW - Mixed finite element
KW - Stokes equations
UR - http://www.scopus.com/inward/record.url?scp=12244284646&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2004.01.021
DO - 10.1016/j.amc.2004.01.021
M3 - Journal article
AN - SCOPUS:12244284646
SN - 0096-3003
VL - 162
SP - 1035
EP - 1047
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 3
ER -