TY - JOUR
T1 - Operator Factorization for Multiple-Scattering Problems and an Application to Periodic Media
AU - J. Coatléven & P. Joly
JO - Communications in Computational Physics
VL - 2
SP - 303
EP - 318
PY - 2012
DA - 2012/12
SN - 11
DO - http://doi.org/10.4208/cicp.231109.090710s
UR - https://global-sci.org/intro/article_detail/cicp/7363.html
KW - 
AB - <p style="text-align: justify;">This work concerns multiple-scattering problems for time-harmonic equations in a reference generic media. We consider scatterers that can be sources, obstacles
or compact perturbations of the reference media. Our aim is to restrict the computational domain to small compact domains containing the scatterers. We use Robin-to-Robin (RtR) operators (in the most general case) to express boundary conditions for
the interior problem. We show that one can always factorize the RtR map using only
operators defined using single-scatterer problems. This factorization is based on a decomposition of the diffracted field, on the whole domain where it is defined. Assuming
that there exists a good method for solving single-scatterer problems, it then gives a
convenient way to compute RtR maps for a random number of scatterers.</p>