TY - JOUR
T1 - A preconditioner for the FETI-DP method for mortar-type Crouzeix-Raviart element discretization
AU - Wang, Chunmei
N1 - Funding Information:
The research has been supported by the National Science Foundation (NSF) of China (Grants No. 11071124, 11226334, 11371199 and 11301275), the Program of Natural Science Research of Jiangsu Higher Education Institutions of China (Grant No. 12KJB110013), the Doctoral Fund of Ministry of Education of China (Grant No. 20123207120001), and the Project of Graduate Education Innovation of Jiangsu Province (CXZZ13 0387).
Publisher Copyright:
© 2014, Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.
PY - 2014/12
Y1 - 2014/12
N2 - In this paper, we consider mortar-type Crouzeix-Raviart element discretizations for second order elliptic problems with discontinuous coefficients. A preconditioner for the FETI-DP method is proposed. We prove that the condition number of the preconditioned operator is bounded by (1 + log(H/h))2, where H and h are mesh sizes. Finally, numerical tests are presented to verify the theoretical results.
AB - In this paper, we consider mortar-type Crouzeix-Raviart element discretizations for second order elliptic problems with discontinuous coefficients. A preconditioner for the FETI-DP method is proposed. We prove that the condition number of the preconditioned operator is bounded by (1 + log(H/h))2, where H and h are mesh sizes. Finally, numerical tests are presented to verify the theoretical results.
KW - Crouzeix-Raviart element
KW - FETI-DP
KW - nonstandard mortar condition
KW - preconditioner
UR - http://www.scopus.com/inward/record.url?scp=84919882937&partnerID=8YFLogxK
U2 - 10.1007/s10492-014-0078-y
DO - 10.1007/s10492-014-0078-y
M3 - Article
AN - SCOPUS:84919882937
VL - 59
SP - 653
EP - 672
JO - Applications of Mathematics
JF - Applications of Mathematics
SN - 0862-7940
IS - 6
ER -