TY - JOUR
T1 - A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain Part II: Extensions
AU - Zhiming Chen & Xueshuang Xiang
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 538
EP - 555
PY - 2013
DA - 2013/06
SN - 6
DO - http://doi.org/10.4208/nmtma.2013.1217nm
UR - https://global-sci.org/intro/article_detail/nmtma/5917.html
KW - Helmholtz equation, high frequency waves, PML, source transfer.
AB - <p style="text-align: justify;">In this paper we extend the source transfer domain decomposition method (STDDM)
introduced by the authors to solve the Helmholtz problems in two-layered media,
the Helmholtz scattering problems with bounded scatterer, and Helmholtz problems
in 3D unbounded domains. The STDDM is based on the decomposition of the domain into
non-overlapping layers and the idea of source transfer which transfers the sources
equivalently layer by layer so that the solution in the final layer can be solved using
a PML method defined locally outside the last two layers. The details of STDDM is given
for each extension. Numerical results are presented to demonstrate the efficiency of
STDDM as a preconditioner for solving the discretization problem of the Helmholtz
problems considered in the paper.</p>