TY - JOUR T1 - A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain Part II: Extensions 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 -

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.