2019•Keisan Rikigaku Koenkai koen ronbunshu/Keisan Rikigaku Kouenkai kouen rombunshuuOpen access

A shape optimization with the isogeometric boundary element method for 3D acoustic problems

Daisuke Sato, Toru TAKAHASHI, Hiroshi ISAKARI, Toshiro MATSUMOTO

Abstract

Following our previous work on the shape sensitivity analysis with the isogeometric boundary element mehthod (IGBEM), we have establised the prototype of the shape optimization program for 3D acoustic scattering problems. To verify the program, we solved a shape optimization problem to determine the optimal radius of a sphere so that the sound pressure at a certain point can be maximized.

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Available abstract

Key concepts: Shape optimization, Boundary element method, Isogeometric analysis, Boundary (topology), Sensitivity (control systems), Point (geometry), Element (criminal law), Computer science