5. An introduction to optimal design

One may consult the very interesting textbook [HLT24] about the FreeFem implementation of many PDE-constrained optimization problems.

Contents:

• 5.1. Density methods
• 5.2. Geometric optimization
• 5.3. The level set method
• 5.4. Topological derivatives
  • 5.4.1. Coupling shape and topological derivatives
  • 5.4.2. A standalone algorithm based on topological derivatives
• 5.5. Shape optimization for fluids