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High-order div- and quasi curl-conforming basis functions for calderon multiplicative preconditioning of the EFIE

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Abstract
A new high-order Calderon multiplicative preconditioner (HO-CMP) for the electric field integral equation (EFIE) is presented. In contrast to previous CMPs, the proposed preconditioner allows for high-order surface representations and current expansions by using a novel set of high-order quasi curl-conforming basis functions. Like its predecessors, the HO-CMP can be seamlessly integrated into existing EFIE codes. Numerical results demonstrate that the linear systems of equations obtained using the proposed HO-CMP converge rapidly, regardless of the mesh density and of the order of the current expansion.
Keywords
OBJECTS, LINEAR-SYSTEMS, ELECTROMAGNETIC SCATTERING, MINIMAL RESIDUAL ALGORITHM, FIELD INTEGRAL-EQUATION, IDENTITIES, COMPLEX, Electric field integral equation (EFIE), high-order basis functions, integral equations, preconditioning

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Citation

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

MLA
Valdes, Felipe et al. “High-order Div- and Quasi Curl-conforming Basis Functions for Calderon Multiplicative Preconditioning of the EFIE.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 59.4 (2011): 1321–1337. Print.
APA
Valdes, F., Andriulli, F. P., Cools, K., & Michielssen, E. (2011). High-order div- and quasi curl-conforming basis functions for calderon multiplicative preconditioning of the EFIE. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 59(4), 1321–1337.
Chicago author-date
Valdes, Felipe, Francesco P Andriulli, Kristof Cools, and Eric Michielssen. 2011. “High-order Div- and Quasi Curl-conforming Basis Functions for Calderon Multiplicative Preconditioning of the EFIE.” Ieee Transactions on Antennas and Propagation 59 (4): 1321–1337.
Chicago author-date (all authors)
Valdes, Felipe, Francesco P Andriulli, Kristof Cools, and Eric Michielssen. 2011. “High-order Div- and Quasi Curl-conforming Basis Functions for Calderon Multiplicative Preconditioning of the EFIE.” Ieee Transactions on Antennas and Propagation 59 (4): 1321–1337.
Vancouver
1.
Valdes F, Andriulli FP, Cools K, Michielssen E. High-order div- and quasi curl-conforming basis functions for calderon multiplicative preconditioning of the EFIE. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 2011;59(4):1321–37.
IEEE
[1]
F. Valdes, F. P. Andriulli, K. Cools, and E. Michielssen, “High-order div- and quasi curl-conforming basis functions for calderon multiplicative preconditioning of the EFIE,” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol. 59, no. 4, pp. 1321–1337, 2011.
@article{2015793,
  abstract     = {A new high-order Calderon multiplicative preconditioner (HO-CMP) for the electric field integral equation (EFIE) is presented. In contrast to previous CMPs, the proposed preconditioner allows for high-order surface representations and current expansions by using a novel set of high-order quasi curl-conforming basis functions. Like its predecessors, the HO-CMP can be seamlessly integrated into existing EFIE codes. Numerical results demonstrate that the linear systems of equations obtained using the proposed HO-CMP converge rapidly, regardless of the mesh density and of the order of the current expansion.},
  author       = {Valdes, Felipe and Andriulli, Francesco P and Cools, Kristof and Michielssen, Eric},
  issn         = {0018-926X},
  journal      = {IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION},
  keywords     = {OBJECTS,LINEAR-SYSTEMS,ELECTROMAGNETIC SCATTERING,MINIMAL RESIDUAL ALGORITHM,FIELD INTEGRAL-EQUATION,IDENTITIES,COMPLEX,Electric field integral equation (EFIE),high-order basis functions,integral equations,preconditioning},
  language     = {eng},
  number       = {4},
  pages        = {1321--1337},
  title        = {High-order div- and quasi curl-conforming basis functions for calderon multiplicative preconditioning of the EFIE},
  url          = {http://dx.doi.org/10.1109/TAP.2011.2109692},
  volume       = {59},
  year         = {2011},
}

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