TY - JOUR
T1 - A preconditioner for the FETI-DP method for mortar-type Crouzeix-Raviart element discretization
AU - Wang, Chunmei
N1 - 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
SN - 0862-7940
VL - 59
SP - 653
EP - 672
JO - Applications of Mathematics
JF - Applications of Mathematics
IS - 6
ER -