A wideband fast multipole boundary element method for three dimensional acoustic shape sensitivity analysis based on direct differentiation method

2012 ◽  
Vol 36 (3) ◽  
pp. 361-371 ◽  
Author(s):  
Changjun Zheng ◽  
Toshiro Matsumoto ◽  
Toru Takahashi ◽  
Haibo Chen
Keyword(s):  
Sensitivity Analysis ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Three Dimensional ◽  
Shape Sensitivity ◽  
Shape Sensitivity Analysis ◽  
Fast Multipole ◽  
Direct Differentiation Method ◽  
Direct Differentiation ◽  
Differentiation Method

scholarly journals 3D ACOUSTIC SHAPE SENSITIVITY ANALYSIS USING FAST MULTIPOLE BOUNDARY ELEMENT METHOD

2012 ◽  
Vol 09 (01) ◽  
pp. 1240004 ◽  
Author(s):  
C. J. ZHENG ◽  
H. B. CHEN ◽  
T. MATSUMOTO ◽  
T. TAKAHASHI
Keyword(s):  
Sensitivity Analysis ◽  
Boundary Element ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Shape Sensitivity ◽  
Shape Sensitivity Analysis ◽  
Fast Multipole ◽  
Hypersingular Integrals ◽  
Discrete Adjoint ◽  
Element Approach

This paper presents a fast multipole boundary element approach to the 3D acoustic shape sensitivity analysis based on the discrete adjoint variable method. The Burton–Miller formula is used to conquer the fictitious eigenfrequency problem of the original boundary integral equation method in solving exterior acoustic problems. Constant elements are used to discretize the boundary, so that the hypersingular integrals contained in the formulae can be evaluated explicitly and directly. Numerical examples are presented to demonstrate the accuracy and efficiency of the present approach.

scholarly journals A topology optimisation for three-dimensional acoustics with the level set method and the fast multipole boundary element method

2014 ◽  
Vol 1 (4) ◽  
pp. CM0039-CM0039 ◽  
Author(s):  
Hiroshi ISAKARI ◽  
Kohei KURIYAMA ◽  
Shinya HARADA ◽  
Takayuki YAMADA ◽  
Toru TAKAHASHI ◽  
...  
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Level Set Method ◽  
Level Set ◽  
Three Dimensional ◽  
Topology Optimisation ◽  
Fast Multipole ◽  
Element Method
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