Three-dimensional biorthogonal multiresolution time-domain method and its application to electromagnetic scattering problems

2003 ◽  
Vol 51 (5) ◽  
pp. 1085-1092 ◽  
Author(s):  
Xianyang Zhu ◽  
T. Dogaru ◽  
L. Carin
Keyword(s):  
Time Domain ◽  
Electromagnetic Scattering ◽  
Three Dimensional ◽  
Time Domain Method ◽  
Scattering Problems ◽  
Domain Method

A leap-frog discontinuous Galerkin time-domain method of analyzing electromagnetic scattering problems

2017 ◽  
Vol 26 (10) ◽  
pp. 104101
Author(s):  
Xue-Wu Cui ◽  
Feng Yang ◽  
Long-Jian Zhou ◽  
Min Gao ◽  
Fei Yan ◽  
...  
Keyword(s):  
Discontinuous Galerkin ◽  
Time Domain ◽  
Electromagnetic Scattering ◽  
Time Domain Method ◽  
Scattering Problems ◽  
Domain Method

scholarly journals Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems

2021 ◽  
Author(s):  
Changkun Wei ◽  
Jiaqing Yang ◽  
Bo Zhang
Keyword(s):  
Time Domain ◽  
Electromagnetic Scattering ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Scattering Problems ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Time Domain Electromagnetic ◽  
Numer Anal ◽  
The Time Domain

In this paper, we propose and study the uniaxial perfectly matched layer (PML) method for three-dimensional time-domain electromagnetic scattering problems, which has a great advantage over the spherical one in dealing with problems involving anisotropic scatterers. The truncated uniaxial PML problem is proved to be well-posed and stable, based on the Laplace transform technique and the energy method. Moreover, the $L^2$-norm and $L^{\infty}$-norm error estimates in time are given between the solutions of the original scattering problem and the truncated PML problem, leading to the exponential convergence of the time-domain uniaxial PML method in terms of the thickness and absorbing parameters of the PML layer. The proof depends on the error analysis between the EtM operators for the original scattering problem and the truncated PML problem, which is different from our previous work (SIAM J. Numer. Anal. 58(3) (2020), 1918-1940).

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