NDLI: Domain Decomposition Preconditioning for Surface Integral Equations in Solving Challenging Electromagnetic Scattering Problems

Content Provider	IEEE Xplore Digital Library
Author	Zhen Peng Hiptmair, R. Shao, Y. MacKie-Mason, B.
Copyright Year	1963
Abstract	We propose and study a nonoverlapping and nonconforming domain decomposition method for the integral-equation-based solution of large, complex electromagnetic (EM) scattering problems. The continuity of the electric surface current across the boundary between adjacent subdomains is enforced by a skew-symmetric interior penalty formulation. A nonoverlapping additive Schwarz preconditioner is designed and analyzed for the solution of the linear system of equations resulting from Galerkin boundary-element discretization. We show that the preconditioned system exhibits a uniformly confined eigenspectrum with respect to changing problem and discretization parameters. Numerical examples are presented to demonstrate the fast convergence of iterative solvers and the superior accuracy of the solutions obtained by our method. The proposed work can be viewed as an effective preconditioning scheme that reduces the condition number of very large systems of equations in challenging EM scattering problems. The strength and capability of the proposed method will be illustrated by means of several examples of practical interest.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	210
Ending Page	223
Page Count	14
File Size	2846659
File Format	PDF
ISSN	0018926X
Volume Number	64
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2016-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Mathematical model Integral equations Antennas Electromagnetic scattering Electric potential Solid modeling Interior penalty discontinuous Galerkin method Maxwell’s equations Integral equation method Domain decomposition method Domain decomposition (DD) method electromagnetic (EM) scattering integral equation method black interior penalty discontinuous Galerkin method
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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