An Explicit Marching-on-in-time Scheme for Solving the Kirchhoff Integral Equation
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Online Publication Date2019-01-24
Print Publication Date2018-07
Permanent link to this recordhttp://hdl.handle.net/10754/631727
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AbstractAn explicit marching-on-in-time scheme for solving the Kirchhoff integral equation enforced on an acoustically rigid scatterer is proposed. The unknown velocity potential introduced on the surface of scatterer is expanded using unit pulse functions in space and Lagrange polynomial interpolation functions in time. The resulting system is cast in the form of an ordinary differential equation and then integrated numerically in time using a predictor-corrector scheme to obtain the unknown expansion coefficients. Numerical results demonstrate that the time step size required by the proposed explicit scheme to ensure an accurate and stable solution is as large as that used by its implicit counterpart.
CitationChen R, Sayed SB, Bagci H (2018) An Explicit Marching-on-in-time Scheme for Solving the Kirchhoff Integral Equation. 2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. Available: http://dx.doi.org/10.1109/APUSNCURSINRSM.2018.8608706.
Journal2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting
Conference/Event name2018 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting, APSURSI 2018