TY - JOUR
T1 - Fast Calderón Preconditioning for the Electric Field Integral Equation
AU - Escapil-Inchauspé, Paul
AU - Jerez-Hanckes, Carlos
N1 - Funding Information:
Manuscript received February 12, 2018; revised December 6, 2018; accepted December 29, 2018. Date of publication January 9, 2019; date of current version April 5, 2019. This work was supported in part by Fondecyt under Grant Regular 1171491 and in part by the Conicyt Programa de Investigación Asociativa under Grant ACT 1417. (Corresponding author: Carlos Jerez-Hanckes.) The authors are with the School of Engineering, Pontificia Universidad Católica de Chile, Santiago 8970117, Chile (e-mail: cjerez@ing.puc.cl).
Publisher Copyright:
© 1963-2012 IEEE.
PY - 2019/4
Y1 - 2019/4
N2 - Despite its solid mathematical background, the standard Calderón preconditioning for the electric field integral equation scales poorly with respect to the mesh refinement due to its construction over barycentric meshes. Based on hierarchical matrices, our proposed algorithm optimally splits solution and preconditioner accuracies, significantly reducing computation times and memory requirements while retaining the good properties of the original Calderón preconditioner. Numerical experiments validate our claims for increasingly complex settings, yielding results comparable to those given by algebraic techniques such as near-field preconditioners and providing insights into further research avenues.
AB - Despite its solid mathematical background, the standard Calderón preconditioning for the electric field integral equation scales poorly with respect to the mesh refinement due to its construction over barycentric meshes. Based on hierarchical matrices, our proposed algorithm optimally splits solution and preconditioner accuracies, significantly reducing computation times and memory requirements while retaining the good properties of the original Calderón preconditioner. Numerical experiments validate our claims for increasingly complex settings, yielding results comparable to those given by algebraic techniques such as near-field preconditioners and providing insights into further research avenues.
KW - Boundary element methods (BEMs)
KW - boundary integral equations
KW - electric field integral equation (EFIE)
KW - fast solvers
UR - http://www.scopus.com/inward/record.url?scp=85059819805&partnerID=8YFLogxK
U2 - 10.1109/TAP.2019.2891608
DO - 10.1109/TAP.2019.2891608
M3 - Article
AN - SCOPUS:85059819805
SN - 0018-926X
VL - 67
SP - 2555
EP - 2564
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 4
M1 - 8606221
ER -