@Article{NMTMA-6-538,
author = {Zhiming Chen and Xueshuang Xiang},
title = {A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain Part II: Extensions},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2013},
volume = {6},
number = {3},
pages = {538--555},
abstract = {<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>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2013.1217nm},
url = {http://global-sci.org/intro/article_detail/nmtma/5917.html}
}