TY - JOUR
T1 - Parallel Preconditioners for Plane Wave Helmholtz and Maxwell Systems with Large Wave Numbers
JO - International Journal of Numerical Analysis and Modeling
VL - 5
SP - 802
EP - 819
PY - 2016
DA - 2016/09
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/466.html
KW - Helmholtz equations, Maxwell's equations, large wave number, variational formulation, plane-wave basis, preconditioner, iteration counts.
AB - <p style="text-align: justify;">A kind of non-overlapping domain decomposition preconditioner was proposed to
solve the systems generated by the plane wave least-squares (PWLS) method for discretization of
Helmholtz equation and Maxwell equations respectively in [13] and [14]. In this paper we introduce
overlapping variants of this kind of preconditioner and give some comparison among these domain
decomposition preconditioners. The main goal of this paper is to implement in parallel these
domain decomposition preconditioners for the system with large wave numbers. The numerical
results indicate that the preconditioners are highly scalable and are effective for solving Helmholtz
equation and Maxwell&#39;s equations with large wave numbers.</p>