scholarly journals The DtN nonreflecting boundary condition for multiple scattering problems in the half-plane

2012 ◽  
Vol 217-220 ◽  
pp. 1-11 ◽  
Author(s):  
Sebastian Acosta ◽  
Vianey Villamizar ◽  
Bruce Malone
Keyword(s):  
Boundary Condition ◽  
Multiple Scattering ◽  
Half Plane ◽  
Scattering Problems ◽  
Nonreflecting Boundary Condition

Operator Factorization for Multiple-Scattering Problems and an Application to Periodic Media

2012 ◽  
Vol 11 (2) ◽  
pp. 303-318 ◽  
Author(s):  
J. Coatléven ◽  
P. Joly
Keyword(s):  
Multiple Scattering ◽  
Random Number ◽  
Good Method ◽  
Computational Domain ◽  
Periodic Media ◽  
Scattering Problems ◽  
Compact Perturbations ◽  
Time Harmonic ◽  
Operator Factorization ◽  
Interior Problem

AbstractThis 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.

scholarly journals On the O(1) solution of multiple-scattering problems

2005 ◽  
Vol 41 (5) ◽  
pp. 1488-1491 ◽  
Author(s):  
C. Geuzaine ◽  
O. Bruno ◽  
F. Reitich
Keyword(s):  
Multiple Scattering ◽  
Scattering Problems
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