Optimal Shape Design Using Domain Transformations and Continuous Sensitivity Equation Methods

In this paper, we consider two approaches to solving an optimization based design problem where “shape” is the design parameter. Both methods use domain transformations to compute gradients. However, they differ in that the second method is based on solving a transformed optimization problem completely in the computational domain. We illustrate the methods using a simple 1D problem and discuss the benefits and drawbacks of each approach.

• Type: Conference
• Year: 2001
• Where: IFIP7
• Authors: Lisa Stanley
• Keywords: Domain Transformations, IFIP7 2001, Optimization, Optimization Based Design, Simple 1D Problem