TY - GEN

T1 - Explicit solution of Calderon preconditioned time domain integral equations

AU - Ulku, Huseyin Arda

AU - Bagci, Hakan

AU - Michielssen, Eric

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2013/7

Y1 - 2013/7

N2 - An explicit marching on-in-time (MOT) scheme for solving Calderon-preconditioned time domain integral equations is proposed. The scheme uses Rao-Wilton-Glisson and Buffa-Christiansen functions to discretize the domain and range of the integral operators and a PE(CE)m type linear multistep to march on in time. Unlike its implicit counterpart, the proposed explicit solver requires the solution of an MOT system with a Gram matrix that is sparse and well-conditioned independent of the time step size. Numerical results demonstrate that the explicit solver maintains its accuracy and stability even when the time step size is chosen as large as that typically used by an implicit solver. © 2013 IEEE.

AB - An explicit marching on-in-time (MOT) scheme for solving Calderon-preconditioned time domain integral equations is proposed. The scheme uses Rao-Wilton-Glisson and Buffa-Christiansen functions to discretize the domain and range of the integral operators and a PE(CE)m type linear multistep to march on in time. Unlike its implicit counterpart, the proposed explicit solver requires the solution of an MOT system with a Gram matrix that is sparse and well-conditioned independent of the time step size. Numerical results demonstrate that the explicit solver maintains its accuracy and stability even when the time step size is chosen as large as that typically used by an implicit solver. © 2013 IEEE.

UR - http://hdl.handle.net/10754/564778

UR - http://ieeexplore.ieee.org/document/6710680/

UR - http://www.scopus.com/inward/record.url?scp=84894220001&partnerID=8YFLogxK

U2 - 10.1109/APS.2013.6710680

DO - 10.1109/APS.2013.6710680

M3 - Conference contribution

SN - 9781467353175

SP - 39

EP - 40

BT - 2013 IEEE Antennas and Propagation Society International Symposium (APSURSI)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -