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Fast, higher-order direct/iterative hybrid solver for scattering by Inhomogeneous media -- with application to high-frequency and discontinuous refractivity problems

Bruno, Oscar P. and Pandey, Ambuj (2019) Fast, higher-order direct/iterative hybrid solver for scattering by Inhomogeneous media -- with application to high-frequency and discontinuous refractivity problems. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20190906-093836815

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Abstract

This paper presents a fast high-order method for the solution of two-dimensional problems of scattering by penetrable inhomogeneous media, with application to high-frequency configurations containing (possibly) discontinuous refractivities. The method relies on a combination of a differential volumetric formulation and a boundary integral formulation. Thus, in the proposed approach the entire computational domain is partitioned into large numbers of volumetric spectral approximation patches which are then grouped into patch subsets for local direct solution; the interactions with the exterior domain are handled by means of a boundary integral equation. The resulting algorithm can be quite effective: after a modestly-demanding precomputation stage (whose results for a given frequency can be repeatedly used for arbitrarily chosen incidence angles), the proposed algorithm can accurately evaluate scattering by configurations including large and complex objects and/or high refractivity contrasts, including possibly refractive-index discontinuities, in fast single-core runs.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1907.05914arXivDiscussion Paper
ORCID:
AuthorORCID
Bruno, Oscar P.0000-0001-8369-3014
Pandey, Ambuj0000-0003-3590-4459
Additional Information:This work was supported by NSF and AFOSR through contracts DMS-1411876 and FA9550-15-1-0043, and by the NSSEFF Vannevar Bush Fellowship under contract number N00014-16-1-2808.
Funders:
Funding AgencyGrant Number
NSFDMS-1411876
Air Force Office of Scientific Research (AFOSR)FA9550-15-1-0043
National Security Science and Engineering Faculty FellowshipN00014-16-1-2808
Vannever Bush Faculty FellowshipUNSPECIFIED
Record Number:CaltechAUTHORS:20190906-093836815
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190906-093836815
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98475
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:06 Sep 2019 17:39
Last Modified:03 Aug 2020 21:01

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