NDLI: A hermitian and well-conditioned EFIE for fast iterative and direct solvers

Content Provider	IEEE Xplore Digital Library
Author	Adrian, S.B. Andriulli, F.P. Eibert, T.F.
Copyright Year	2015
Description	Author affiliation: Tech. Univ. Munchen, Munich, Germany (Adrian, S.B.; Eibert, T.F.) \|\| Inst. Mines-Telecom, Telecom Bretagne, Brest, France (Andriulli, F.P.)
Abstract	We present a well-conditioned discretization of the electric field integral equation (EFIE) which is Hermitian and positive definite at any frequency. Differently from other preconditioning techniques, like hierarchical methods or Calderón schemes, no refinement of the mesh nor dual basis functions are necessary by the new formulation. This results in substantial computational savings since only the standard system matrix on the regular mesh needs to be stored. Moreover, the coexistence of hermitianity, positive definiteness, and well-conditioning properties allow for a fast direct inversion of the matrix in linear complexity. The new formulation is based on the regularization of the EFIE with a conjugated EFIE. The two matrices are linked with suitably chosen differential operators and Gram matrices that prevent the squaring of the condition number, and instead ensure a uniformly well-conditioned system matrix. Numerical results corroborate the theory and show the practical applicability of the new scheme.
Sponsorship	IEEE
Starting Page	742
Ending Page	743
File Size	283272
Page Count	2
File Format	PDF
e-ISBN	9781479978151
DOI	10.1109/APS.2015.7304758
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-07-19
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Chebyshev approximation Matrix decomposition Electric breakdown Accuracy Eigenvalues and eigenfunctions Integral equations Standards
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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