000190408 001__ 190408
000190408 005__ 20190316235742.0
000190408 0247_ $$2doi$$a10.1016/j.jcp.2012.07.008
000190408 022__ $$a0021-9991
000190408 02470 $$2ISI$$a000308726600005
000190408 037__ $$aARTICLE
000190408 245__ $$aA reduced basis method for electromagnetic scattering by multiple particles in three dimensions
000190408 269__ $$a2012
000190408 260__ $$bElsevier$$c2012
000190408 336__ $$aJournal Articles
000190408 520__ $$aWe consider the development of efficient and fast computational methods for parametrized electromagnetic scattering problems involving many scattering three dimensional bodies. The parametrization may describe the location, orientation, size, shape and number of scattering bodies as well as properties of the source field such as frequency, polarization and incident direction. The emphasis is on problems that need to be solved rapidly to accurately simulate the interaction of scattered fields under parametric variation, e. g., for design, detection, or uncertainty quantification. For such problems, the use of a brute force approach is often ruled out due to the computational cost associated with solving the problem for each parameter value. In this work, we propose an iterative reduced basis method based on a boundary element discretization of few reference scatterers to resolve the computationally challenging large scale problem. The approach includes (i) a computationally intensive offline procedure to create a selection of a set of snapshot parameters and the construction of an associated reduced basis for each reference scatterer and (ii) an inexpensive online algorithm to generate the surface current and scattered field of the parametrized configuration, for any choice of parameters within the parameter domains used in the offline procedure. Comparison of our numerical results with directly measured results for some benchmark configurations demonstrate the power of our method to rapidly simulate the interacting electromagnetic fields under parametric variation of the overall multiple particle configuration. (C) 2012 Elsevier Inc. All rights reserved.
000190408 6531_ $$aReduced basis
000190408 6531_ $$aMultiple scattering
000190408 6531_ $$aElectromagnetic scattering
000190408 6531_ $$aMaxwell 	equations
000190408 6531_ $$aSurface integrals
000190408 6531_ $$aBoundary element
000190408 700__ $$aGanesh, M.
000190408 700__ $$0247428$$aHesthaven, Jan S.$$g232231
000190408 700__ $$aStamm, B.
000190408 773__ $$j231$$k23$$q7756-7779$$tJournal of Computational Physics
000190408 8564_ $$s5013674$$uhttps://infoscience.epfl.ch/record/190408/files/JCP2312012.pdf$$yn/a$$zn/a
000190408 909C0 $$0252492$$pMCSS$$xU12703
000190408 909CO $$ooai:infoscience.tind.io:190408$$pSB$$particle$$qGLOBAL_SET
000190408 917Z8 $$x232231
000190408 937__ $$aEPFL-ARTICLE-190408
000190408 970__ $$aGanesh2012b/MCSS
000190408 973__ $$aOTHER$$rREVIEWED$$sPUBLISHED
000190408 980__ $$aARTICLE