Temporal preconditioners for marching-on-in-time-based time domain integral equation solvers

Authors

HÜSEYİN ARDA ÜLKÜ

DOI

10.3906/elk-1606-259

Abstract

Temporal preconditioners to stabilize the marching-on-in-time (MOT)-based time domain integral equation (TDIE) solvers are proposed. Exponentially decaying functions are used as temporal preconditioners and the proposed scheme is applied to analyze scattering from perfect electrically conducting objects using the second-order formulation. The effectiveness of the proposed scheme is demonstrated via numerical examples. It is shown that the temporal preconditioners stabilize the MOT system and the solution. In addition, the initial condition problem of TDIEs is investigated by extending the second-order formulation of the time domain electric field integral equation to the time domain magnetic and combined field integral equations.

Keywords

Marching-on-in-time method, time domain integral equations, stability, time domain analysis, transient analysis

First Page

2933

Last Page

2942

Recommended Citation

ÜLKÜ, HÜSEYİN ARDA (2017) "Temporal preconditioners for marching-on-in-time-based time domain integral equation solvers," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 25: No. 4, Article 32. https://doi.org/10.3906/elk-1606-259
Available at: https://journals.tubitak.gov.tr/elektrik/vol25/iss4/32