TY - JOUR
T1 - Restricted Additive Schwarz Preconditioner for Elliptic Equations with Jump Coefficients
AU - Liu , Zhiyong
AU - He , Yinnian
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 1072
EP - 1083
PY - 2018
DA - 2018/05
SN - 8
DO - http://doi.org/10.4208/aamm.2014.m669
UR - https://global-sci.org/intro/article_detail/aamm/12132.html
KW - Jump coefficients, conjugate gradient, effective condition number, domain decomposition, restricted additive Schwarz.
AB - <p style="text-align: justify;">This paper provides a proof of robustness of the restricted additive Schwarz
preconditioner with harmonic overlap (RASHO) for the second order elliptic problems
with jump coefficients. By analyzing the eigenvalue distribution of the RASHO preconditioner,
we prove that the convergence rate of preconditioned conjugate gradient
method with RASHO preconditioner is uniform with respect to the large jump and
mesh size.</p>