A stability analysis of a time marching scheme for the general surface electric field integral equation

DOI10.1016/S0168-9274(97)00107-4zbMath0930.65141OpenAlexW2042550170MaRDI QIDQ1294582

Penny J. Davies

Publication date: 12 September 1999

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(97)00107-4

zbMATH Keywords

stabilitytriangulationretarded potential integral equationselectric field integral equationperfect conductorFourier stability analysistime marching algorithm

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Electromagnetic theory (general) (78A25) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

Temporal discretization choices for stable boundary element methods in electromagnetic scattering problems, Parallel Fast Time-Domain Integral-Equation Methods for Transient Electromagnetic Analysis, STABILITY ANALYSIS OF A COLLOCATION METHOD FOR SOLVING THE RETARDED POTENTIAL INTEGRAL EQUATION, The well-posedness of the electric field integral equation for transient scattering from a perfectly conducting body, Space-Time Discretized Retarded Potential Boundary Integral Operators: Quadrature for Collocation Methods, Time-domain mom for the analysis of thin-wire structures above half-space media using complex-time Green's functions and band-limited quadratic B-spline temporal basis functions, On the behaviour of time discretisations of the electric field integral equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A priori estimates for mixed finite element methods for the wave equation
• Grid modification for the wave equation with attenuation
• Averaging techniques for time-marching schemes for retarded potential integral equations
• Numerical Stability and Convergence of Approximations of Retarded Potential Integral Equations
• On the stability of time-marching schemes for the general surface electric-field integral equation