3D ACOUSTIC SHAPE SENSITIVITY ANALYSIS USING FAST MULTIPOLE BOUNDARY ELEMENT METHOD-Reference-Cited by-同舟云学术

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

Published:2012-03 Issue:01 Volume:09 Page:1240004
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

ZHENG C. J.¹,CHEN H. B.¹,MATSUMOTO T.²,TAKAHASHI T.²

Affiliation:

1. Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230027, China

2. Department of Mechanical Science and Engineering, Nagoya University, Nagoya, Aichi 464-8603, Japan

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021987621240004X

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