TY - GEN
T1 - Auxiliary space preconditioners for mixed finite element methods
AU - Tuminaro, Ray S.
AU - Xu, Jinchao
AU - Zhu, Yunrong
PY - 2009
Y1 - 2009
N2 - This paper is devoted to study of an auxiliary spaces preconditioner for H(div) systems and its application in the mixed formulation of second order elliptic equations. Extensive numerical results show the efficiency and robustness of the algorithms, even in the presence of large coefficient variations. For the mixed formulation of elliptic equations, we use the augmented Lagrange technique to convert the solution of the saddle point problem into the solution of a nearly singular H(div) system. Numerical experiments also justify the robustness and efficiency of this scheme.
AB - This paper is devoted to study of an auxiliary spaces preconditioner for H(div) systems and its application in the mixed formulation of second order elliptic equations. Extensive numerical results show the efficiency and robustness of the algorithms, even in the presence of large coefficient variations. For the mixed formulation of elliptic equations, we use the augmented Lagrange technique to convert the solution of the saddle point problem into the solution of a nearly singular H(div) system. Numerical experiments also justify the robustness and efficiency of this scheme.
UR - http://www.scopus.com/inward/record.url?scp=78651556446&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78651556446&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-02677-5_9
DO - 10.1007/978-3-642-02677-5_9
M3 - Conference contribution
AN - SCOPUS:78651556446
SN - 9783642026768
T3 - Lecture Notes in Computational Science and Engineering
SP - 99
EP - 109
BT - Domain Decomposition Methods in Science and Engineering XVIII
T2 - 18th International Conference of Domain Decomposition Methods
Y2 - 12 January 2008 through 17 January 2008
ER -