scholarly journals Long-Time Stability and Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Domain Acoustic Scattering Problems

2012 ◽  
Vol 50 (5) ◽  
pp. 2632-2655 ◽  
Author(s):  
Zhiming Chen ◽  
Xinming Wu
Keyword(s):  
Time Domain ◽  
Acoustic Scattering ◽  
Perfectly Matched Layer ◽  
Stability And Convergence ◽  
Time Stability ◽  
Scattering Problems ◽  
Layer Method ◽  
Long Time ◽  
Long Time Stability ◽  
Acoustic Scattering Problems

An isogeometric formulation of locally-conformal perfectly matched layer for acoustic scattering problems

2021 ◽  
Vol 263 (6) ◽  
pp. 829-833
Author(s):  
Yongzhen Mi ◽  
Xiang Yu
Keyword(s):  
Acoustic Scattering ◽  
Perfectly Matched Layer ◽  
Real Space ◽  
Three Dimensions ◽  
Sound Waves ◽  
Computational Accuracy ◽  
Scattering Problems ◽  
New Formulation ◽  
Locally Conformal ◽  
Acoustic Scattering Problems

This paper presents an isogeometric formulation of the locally-conformal perfectly matched layer (PML) for time-harmonic acoustic scattering problems. The new formulation is a generalization of the conventional locally-conformal PML, in which the NURBS patch supporting the PML domain is transformed from real space to complex space. This is achieved by complex coordinate stretching, based on a stretching vector field indicating the directions in which incident sound waves are absorbed. The performance of the isogeometric PML formulation is discussed through several acoustic scattering problems, spanning from one to three dimensions. It is found that the proposed method presents superior computational accuracy, high geometric adaptivity, and good robustness against challenging geometric features. The geometry-preserving ability inherent in the isogeometric framework could bring extra benefits by eliminating geometric errors that are unavoidable in the conventional PML. Meanwhile, these properties are not sensitive to the location of the sound source or the depth of the PML domain.

scholarly journals A time domain sampling method for inverse acoustic scattering problems

2016 ◽  
Vol 314 ◽  
pp. 647-660 ◽  
Author(s):  
Yukun Guo ◽  
Dietmar Hömberg ◽  
Guanghui Hu ◽  
Jingzhi Li ◽  
Hongyu Liu
Keyword(s):  
Time Domain ◽  
Sampling Method ◽  
Acoustic Scattering ◽  
Scattering Problems ◽  
Acoustic Scattering Problems
Sign in / Sign up

Export Citation Format

Share Document