Shape design sensitivity analysis and optimization for the non-homogeneous helmholtz equation by the BEM


Meric R.

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, vol.12, no.2, pp.95-105, 1996 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 2
  • Publication Date: 1996
  • Journal Name: COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.95-105
  • Istanbul Technical University Affiliated: No

Abstract

The present paper deals with the shape design optimization of bodies subjected to a non-homogeneous Helmholtz equation. Using the adjoint variable method the material derivative of a general integral functional is obtained analytically. Boundary integral equations defined only on the boundary are derived using auxiliary fundamental solutions to be used in the boundary element method. Some constrained shape design optimization problems are solved by the proposed numerical procedure.