Discretization of the Time Domain CFIE for Acoustic Scattering Problems Using Convolution Quadrature

2014 ◽  
Vol 46 (5) ◽  
pp. 3107-3130 ◽  
Author(s):  
Qiang Chen ◽  
Peter Monk
Keyword(s):  
Time Domain ◽  
Acoustic Scattering ◽  
Scattering Problems ◽  
Convolution Quadrature ◽  
The Time Domain ◽  
Acoustic Scattering Problems

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

Adaptivity and Three Dimensional Hierarchical Boundary Elements for Rigid Acoustic Scattering Problems

1995 ◽  
Author(s):  
Steven J. Newhouse ◽  
Ian C. Mathews
Keyword(s):  
Boundary Element ◽  
Acoustic Analysis ◽  
Three Dimensional ◽  
Acoustic Scattering ◽  
Error Estimator ◽  
Infinite Domain ◽  
Scattering Problems ◽  
Effective Form ◽  
Mesh Density ◽  
Acoustic Scattering Problems

Abstract The boundary element method is an established numerical tool for the analysis of acoustic pressure fields in an infinite domain. There is currently no well established method of estimating the surface pressure error distribution for an arbitrary three dimensional body. Hierarchical shape functions have been used as a highly effective form of p refinement in many finite and boundary element applications. Their ability to be used as an error estimator in acoustic analysis has never been fully exploited. This paper studies the influence of mesh density and interpolation order on several acoustic scattering problems. A hierarchical error estimator is implemented and its effectiveness verified against the spherical problem. A coarse cylindrical mesh is then refined using the new error estimator until the solution has converged. The effectiveness of this analysis is shown by comparing the error indicators derived during the analysis to the solution generated from a very fine cylindrical mesh.

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