We present a method to precondition the discretized Lippmann-Schwinger integral equations to model scattering of time-harmonic acoustic waves through a thin inhomogeneous scattering medium. The preconditioner is based on asymptotic results as the thickness of the third component direction goes to zero and requires solving a two dimensional formulation of the problem at the preconditioning step.
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Details
Title
PRECONDITIONING METHODS FOR THIN SCATTERING STRUCTURES BASED ON ASYMPTOTIC RESULTS
Creators
Josef A. Sifuentes - Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA
Shari Moskow - Drexel University
Publication Details
SIAM journal on scientific computing, v 40(4), pp B1007-B1019
Publisher
Siam Publications
Number of pages
13
Grant note
DMS-1411721; DMS-1715425 / NSF; National Science Foundation (NSF)
Resource Type
Journal article
Language
English
Academic Unit
Mathematics
Web of Science ID
WOS:000443152600033
Scopus ID
2-s2.0-85053776095
Other Identifier
991019167960404721
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