Topological Sensitivity for Solving Inverse Multiple Scattering Problems in Three-Dimensional Electromagnetism. Part II: Iterative Method

2018 ◽  
Vol 11 (1) ◽  
pp. 734-769 ◽  
Author(s):  
Frédérique Le Louër ◽  
María-Luisa Rapún
Keyword(s):  
Iterative Method ◽  
Multiple Scattering ◽  
Three Dimensional ◽  
Topological Sensitivity ◽  
Scattering Problems

Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional scalar case

2009 ◽  
Vol 114 (3) ◽  
pp. 373-427 ◽  
Author(s):  
Akash Anand ◽  
Yassine Boubendir ◽  
Fatih Ecevit ◽  
Fernando Reitich
Keyword(s):  
Multiple Scattering ◽  
High Frequency ◽  
Three Dimensional ◽  
Scalar Case ◽  
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.

Three-dimensional-positioning based on echolocation using a simple iterative method

2015 ◽  
Vol 69 (3) ◽  
pp. 680-684 ◽  
Author(s):  
Natee Thong-un ◽  
Shinnosuke Hirata ◽  
Minoru Kuribayashi Kurosawa
Keyword(s):  
Iterative Method ◽  
Three Dimensional
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