A high‐order boundary‐integral method for acoustic scattering by 3‐D bodies in a layered fluid–solid medium

1997 ◽  
Vol 102 (5) ◽  
pp. 3211-3211 ◽  
Author(s):  
Ilkka Karasalo ◽  
Johan Mattsson
Keyword(s):  
Integral Method ◽  
Solid Medium ◽  
Acoustic Scattering ◽  
Boundary Integral ◽  
High Order ◽  
Boundary Integral Method ◽  
Layered Fluid

scholarly journals AN APPROXIMATE BOUNDARY INTEGRAL METHOD FOR ACOUSTIC SCATTERING IN SHALLOW OCEANS

1993 ◽  
Vol 01 (01) ◽  
pp. 61-75 ◽  
Author(s):  
YONGZHI XU ◽  
YI YAN
Keyword(s):  
Integral Equation ◽  
Wave Scattering ◽  
Integral Method ◽  
Acoustic Scattering ◽  
Quadrature Rule ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Acoustic Wave Scattering ◽  
Sea Bottom ◽  
Time Harmonic

The problem of a time-harmonic acoustic wave scattering from a cylindrical object in shallow oceans is solved by an approximate boundary integral method. In the method we employ a Green's function of the Helmholtz equation with sound soft sea level and sound hard sea bottom conditions, and reformulate the problem into a boundary integral equation on the surface of the scattering object. The kernel of the integral equation is given by an infinite series, and is approximated by an appropriate truncation. The integral equation is then fully discretized by applying a quadrature rule. The method has an O(N−3) rate of convergence. Various numerical examples are presented.

scholarly journals A Fast Boundary Integral Method for High-Order Multiscale Mesh Generation

2020 ◽  
Vol 42 (2) ◽  
pp. A1380-A1401
Author(s):  
Felipe Vico ◽  
Leslie Greengard ◽  
Michael O'Neil ◽  
Manas Rachh
Keyword(s):  
Mesh Generation ◽  
Integral Method ◽  
Boundary Integral ◽  
High Order ◽  
Boundary Integral Method
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