A calderon multiplicative preconditioner for coupled surface-volume electric field integral equations
- Author
- Hakan Bagci, Francesco P Andriulli, Kristof Cools (UGent) , Femke Olyslager (UGent) and Eric Michielssen
- Organization
- 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
Downloads
-
(...).pdf
- full text
- |
- UGent only
- |
- |
- 1.65 MB
-
4617 i.pdf
- full text
- |
- open access
- |
- |
- 1.31 MB
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-1162135
- MLA
- Bagci, Hakan, et al. “A Calderon Multiplicative Preconditioner for Coupled Surface-Volume Electric Field Integral Equations.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol. 58, no. 8, 2010, pp. 2680–90, doi:10.1109/TAP.2010.2050419.
- 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. https://doi.org/10.1109/TAP.2010.2050419
- Chicago author-date
- 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): 2680–90. https://doi.org/10.1109/TAP.2010.2050419.
- Chicago author-date (all authors)
- 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. doi:10.1109/TAP.2010.2050419.
- 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.
- IEEE
- [1]H. Bagci, F. P. Andriulli, K. Cools, F. Olyslager, and E. Michielssen, “A calderon multiplicative preconditioner for coupled surface-volume electric field integral equations,” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol. 58, no. 8, pp. 2680–2690, 2010.
@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://doi.org/10.1109/TAP.2010.2050419}}, volume = {{58}}, year = {{2010}}, }
- Altmetric
- View in Altmetric
- Web of Science
- Times cited: