scholarly journals An anisotropic perfectly matched layer method for Helmholtz scattering problems with discontinuous wave number

2013 ◽  
Vol 7 (3) ◽  
pp. 663-678 ◽  
Author(s):  
Zhiming Chen ◽  
◽  
Chao Liang ◽  
Xueshuang Xiang
Keyword(s):  
Perfectly Matched Layer ◽  
Wave Number ◽  
Scattering Problems ◽  
Discontinuous Wave ◽  
Layer Method ◽  
Anisotropic Perfectly Matched Layer

Convergence of an Anisotropic Perfectly Matched Layer Method for Helmholtz Scattering Problems

2016 ◽  
Vol 9 (3) ◽  
pp. 358-382 ◽  
Author(s):  
Chao Liang ◽  
Xueshuang Xiang
Keyword(s):  
Vector Field ◽  
Numerical Experiments ◽  
Perfectly Matched Layer ◽  
Scattering Problems ◽  
New Approach ◽  
Layer Method ◽  
Continuous Vector Field ◽  
Shortest Distance ◽  
The Stability ◽  
Anisotropic Perfectly Matched Layer

AbstractThe anisotropic perfectly matched layer (APML) defines a continuous vector field outside a rectangle domain and performs the complex coordinate stretching along the vector field. Inspired by [Z. Chen et al., Inverse Probl. Imag., 7, (2013):663–678] and based on the idea of the shortest distance, we propose a new approach to construct the vector field which still allows us to prove the exponential decay of the stretched Green function without the constraint on the thickness of the PML layer. Moreover, by using the reflection argument, we prove the stability of the PML problem in the PML layer and the convergence of the PML method. Numerical experiments are also included.

A Stability Analysis of the Perfectly Matched Layer Method

1999 ◽  
Author(s):  
S. J. Yakura ◽  
David Dietz ◽  
Andy Greenwood ◽  
Ernest Baca
Keyword(s):  
Stability Analysis ◽  
Perfectly Matched Layer ◽  
Layer Method
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