TY - GEN

T1 - An efficient explicit marching on in time solver for magnetic field volume integral equation

AU - Sayed, Sadeed B

AU - Ulku, Huseyin Arda

AU - Bagci, Hakan

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

PY - 2015/10/26

Y1 - 2015/10/26

N2 - An efficient explicit marching on in time (MOT) scheme for solving the magnetic field volume integral equation is proposed. The MOT system is cast in the form of an ordinary differential equation and is integrated in time using a PE(CE)m multistep scheme. At each time step, a system with a Gram matrix is solved for the predicted/corrected field expansion coefficients. Depending on the type of spatial testing scheme Gram matrix is sparse or consists of blocks with only diagonal entries regardless of the time step size. Consequently, the resulting MOT scheme is more efficient than its implicit counterparts, which call for inversion of fuller matrix system at lower frequencies. Numerical results, which demonstrate the efficiency, accuracy, and stability of the proposed MOT scheme, are presented.

AB - An efficient explicit marching on in time (MOT) scheme for solving the magnetic field volume integral equation is proposed. The MOT system is cast in the form of an ordinary differential equation and is integrated in time using a PE(CE)m multistep scheme. At each time step, a system with a Gram matrix is solved for the predicted/corrected field expansion coefficients. Depending on the type of spatial testing scheme Gram matrix is sparse or consists of blocks with only diagonal entries regardless of the time step size. Consequently, the resulting MOT scheme is more efficient than its implicit counterparts, which call for inversion of fuller matrix system at lower frequencies. Numerical results, which demonstrate the efficiency, accuracy, and stability of the proposed MOT scheme, are presented.

UR - http://hdl.handle.net/10754/582916

UR - http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7305297

UR - http://www.scopus.com/inward/record.url?scp=84953732830&partnerID=8YFLogxK

U2 - 10.1109/APS.2015.7305297

DO - 10.1109/APS.2015.7305297

M3 - Conference contribution

SN - 9781479978151

SP - 1816

EP - 1817

BT - 2015 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -