A Domain Optimization Technique For Elliptic Boundary Value Problems
Price
Free (open access)
Transaction
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