WIT Press

A Domain Optimization Technique For Elliptic Boundary Value Problems

Price

Free (open access)

Volume

14

Pages

8

Published

1995

Size

720 kb

Paper DOI

10.2495/OP950071

Copyright

WIT Press

Author(s)

H. Azegami, M. Shimoda, E. Katamine & Z.C. Wu

Abstract

A numerical analysis technique is presented for solving optimization prob- lems of geometrical domains in which elliptic boundary value problems are defined. Domain variation is formulated with a one-to-one mapping and its infinitesimal variation with a speed field as advocated by Zolesio. * The sensitivity functions, which we call the shape gradient functions, of domain variation are derived using the Lagrange multiplier method or

Keywords