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

• DOI: 10.1142/s021987621240004x
• Publication Date: 2012-04-18T01:44:03Z
• Authors: C. J. ZHENG; H. B. CHEN; T. MATSUMOTO; T. TAKAHASHI
• Keywords: 0203 mechanical engineering; 0103 physical sciences; 02 engineering and technology; 01 natural sciences

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.