TY - JOUR
T1 - High-Order Calderón Preconditioned Time Domain Integral Equation Solvers
AU - Valdes, Felipe
AU - Ghaffari-Miab, Mohsen
AU - Andriulli, Francesco P.
AU - Cools, Kristof
AU - Michielssen,
N1 - 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.
PY - 2013/5
Y1 - 2013/5
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/598491
UR - http://ieeexplore.ieee.org/document/6407792/
UR - http://www.scopus.com/inward/record.url?scp=84877268873&partnerID=8YFLogxK
U2 - 10.1109/TAP.2013.2238496
DO - 10.1109/TAP.2013.2238496
M3 - Article
SN - 0018-926X
VL - 61
SP - 2570
EP - 2588
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 5
ER -