INSTABILITIES IN TIME MARCHING METHODS FOR SCATTERING PROBLEMS
- 1 January 1986
- journal article
- research article
- Published by Taylor & Francis in Electromagnetics
- Vol. 6 (2) , 129-144
- https://doi.org/10.1080/02726348608915207
Abstract
The occurrence of exponentially increasing instabilities is a common feature of time marching methods for. solving transient scattering problems. In this paper we consider the mechanism by which such instabilities arise and describe various methods of reducing their effect.Keywords
This publication has 12 references indexed in Scilit:
- Stability and Convergence of Time Marching Methods in Scattering ProblemsIMA Journal of Applied Mathematics, 1985
- Toward a stable marching-on-in-time method for two-dimensional transient electromagnetic scattering problemsRadio Science, 1984
- A least-square iterative technique for solving time-domain scattering problemsThe Journal of the Acoustical Society of America, 1982
- Augmented electric‐ and magnetic‐field integral equationsRadio Science, 1981
- Time domain integral equation solution for acoustic scattering from fluid targetsThe Journal of the Acoustical Society of America, 1981
- Scattering of transient acoustic waves by an inhomogeneous obstacleThe Journal of the Acoustical Society of America, 1981
- Iterative determination of permittivity and conductivity profiles of a dielectric slab in the time domainIEEE Transactions on Antennas and Propagation, 1981
- On the Convergence of the Conjugate Gradient Method for Singular Linear Operator EquationsSIAM Journal on Numerical Analysis, 1972
- Steepest Descent for Singular Linear Operator EquationsSIAM Journal on Numerical Analysis, 1970
- Transient scattering from conducting cylindersIEEE Transactions on Antennas and Propagation, 1970