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A calderon multiplicative preconditioner for coupled surface-volume electric field integral equations

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Abstract
A well-conditioned coupled set of surface (S) and volume (V) electric field integral equations (S-EFIE and V-EFIE) for analyzing wave interactions with densely discretized composite structures is presented. Whereas the V-EFIE operator is well-posed even when applied to densely discretized volumes, a classically formulated S-EFIE operator is ill-posed when applied to densely discretized surfaces. This renders the discretized coupled S-EFIE and V-EFIE system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed scheme regularizes the coupled set of S-EFIE and V-EFIE using a Calderon multiplicative preconditioner (CMP)-based technique. The resulting scheme enables the efficient analysis of electromagnetic interactions with composite structures containing fine/subwave-length geometric features. Numerical examples demonstrate the efficiency of the proposed scheme.
Keywords
ALGORITHM, RADIATION, ELECTROMAGNETIC SCATTERING, volume electric field integral equations, Calderon preconditioning, surface electric field integral equation, multiplicative preconditioning, OPERATOR, COMPLEX

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Citation

Please use this url to cite or link to this publication:

Chicago
Bagci, Hakan, Francesco P Andriulli, Kristof Cools, Femke Olyslager, and Eric Michielssen. 2010. “A Calderon Multiplicative Preconditioner for Coupled Surface-volume Electric Field Integral Equations.” Ieee Transactions on Antennas and Propagation 58 (8): 2680–2690.
APA
Bagci, H., Andriulli, F. P., Cools, K., Olyslager, F., & Michielssen, E. (2010). A calderon multiplicative preconditioner for coupled surface-volume electric field integral equations. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 58(8), 2680–2690.
Vancouver
1.
Bagci H, Andriulli FP, Cools K, Olyslager F, Michielssen E. A calderon multiplicative preconditioner for coupled surface-volume electric field integral equations. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 2010;58(8):2680–90.
MLA
Bagci, Hakan et al. “A Calderon Multiplicative Preconditioner for Coupled Surface-volume Electric Field Integral Equations.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 58.8 (2010): 2680–2690. Print.
@article{1162135,
  abstract     = {A well-conditioned coupled set of surface (S) and volume (V) electric field integral equations (S-EFIE and V-EFIE) for analyzing wave interactions with densely discretized composite structures is presented. Whereas the V-EFIE operator is well-posed even when applied to densely discretized volumes, a classically formulated S-EFIE operator is ill-posed when applied to densely discretized surfaces. This renders the discretized coupled S-EFIE and V-EFIE system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed scheme regularizes the coupled set of S-EFIE and V-EFIE using a Calderon multiplicative preconditioner (CMP)-based technique. The resulting scheme enables the efficient analysis of electromagnetic interactions with composite structures containing fine/subwave-length geometric features. Numerical examples demonstrate the efficiency of the proposed scheme.},
  author       = {Bagci, Hakan and Andriulli, Francesco P and Cools, Kristof and Olyslager, Femke and Michielssen, Eric},
  issn         = {0018-926X},
  journal      = {IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION},
  keywords     = {ALGORITHM,RADIATION,ELECTROMAGNETIC SCATTERING,volume electric field integral equations,Calderon preconditioning,surface electric field integral equation,multiplicative preconditioning,OPERATOR,COMPLEX},
  language     = {eng},
  number       = {8},
  pages        = {2680--2690},
  title        = {A calderon multiplicative preconditioner for coupled surface-volume electric field integral equations},
  url          = {http://dx.doi.org/10.1109/TAP.2010.2050419},
  volume       = {58},
  year         = {2010},
}

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