A matlab(r) version of CHIEF (Combined Helmholtz Integral Equation Formulation) for solving acoustic radiation and scattering problems

1999 ◽  
Vol 106 (4) ◽  
pp. 2193-2193 ◽  
Author(s):  
Steve Forsythe
Keyword(s):  
Integral Equation ◽  
Acoustic Radiation ◽  
Scattering Problems ◽  
Equation Formulation ◽  
Integral Equation Formulation ◽  
Helmholtz Integral

An enhanced integral-equation formulation for accurate analysis of frequency-selective structures

2012 ◽  
Vol 4 (3) ◽  
pp. 365-372 ◽  
Author(s):  
Guido Valerio ◽  
Alessandro Galli ◽  
Donald R. Wilton ◽  
David R. Jackson
Keyword(s):  
Integral Equation ◽  
Multilayered Structures ◽  
Accurate Analysis ◽  
Scattering Problems ◽  
Equation Formulation ◽  
Acceleration Techniques ◽  
Full Wave ◽  
Integral Equation Formulation ◽  
Different Types ◽  
Frequency Selective

In this work, a very efficient mixed-potential integral-equation formulation is implemented for the rigorous analysis of multilayered structures with arbitrarily shaped two-dimensional periodic metallic and/or dielectric inclusions. Original acceleration techniques have been developed for the computation of the components of the scalar and dyadic Green's functions, based on different types of asymptotic extractions according to the potential considered. The theoretical approach and its computational convenience have been validated through different full-wave analyses concerning both scattering problems and complex-mode dispersive behaviors in various frequency-selective structures for microwave applications.

BOUNDARY ELEMENT SOLUTION OF A BODY'S EXTERIOR ACOUSTIC FIELD NEAR ITS INTERNAL EIGENVALUES

1993 ◽  
Vol 01 (03) ◽  
pp. 335-353 ◽  
Author(s):  
R. A. MARSCHALL
Keyword(s):  
Integral Equation ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Singular Value ◽  
Practical Implementation ◽  
Equation Formulation ◽  
Integral Equation Formulation ◽  
Value Decomposition ◽  
Element Method ◽  
Helmholtz Integral

A relatively straightforward Boundary Element Method (BEM) for the numerical solution of the exterior Helmholtz problem is specified in a tutorial fashion. The algorithm employs the Combined Helmholtz Integral Equation Formulation (CHIEF) and then Singular Value Decomposition (SVD) to solve the resulting system. Its accuracy and convergence characteristics are examined, and compared to the simplest boundary element method for exterior acoustics, the Helmholtz Integral Equation Formulation or HIEF. Boundary element and auxiliary (CHIEF) point requirements to obtain BEM solutions of a desired accuracy are described. This particular CHIEF algorithm is found to largely avoid the numerical difficulties of the HIEF technique while retaining theoretical and practical implementation simplicity.

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