High-Order Calderón Preconditioned Time Domain Integral Equation Solvers

Felipe Valdes, Mohsen Ghaffari-Miab, Francesco P. Andriulli, Kristof Cools, Michielssen

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


Two high-order accurate Calderón preconditioned time domain electric field integral equation (TDEFIE) solvers are presented. In contrast to existing Calderón preconditioned time domain solvers, the proposed preconditioner allows for high-order surface representations and current expansions by using a novel set of fully-localized high-order div-and quasi curl-conforming (DQCC) basis functions. Numerical results demonstrate that the linear systems of equations obtained using the proposed basis functions converge rapidly, regardless of the mesh density and of the order of the current expansion. © 1963-2012 IEEE.
Original languageEnglish (US)
Pages (from-to)2570-2588
Number of pages19
JournalIEEE Transactions on Antennas and Propagation
Issue number5
StatePublished - May 2013
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): 399813
Acknowledgements: This work was supported in part by the National Science Foundation under Grant 1116082, in part by the AFOSR/NSSEFF Program through Award FA9550-10-1-0180, in art by Sandia under Grant "Development of Calderon Multiplicative Preconditioners with Method of Moments Algorithms", and in part by KAUST under Grant 399813.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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