Examples of using dolfin-adjoint

Sensitivity analysis

• Sensitivity analysis of the heat equation on a Gray’s Klein bottle
  • Background
  • Problem definition
  • Implementation

Optimization examples

• Optimal control of the Poisson equation
  • Problem definition
  • Implementation
  • Convergence order and mesh independence
    • Moola Newton-CG
    • Moola L-BFGS
• Dirichlet BC control of the Stokes equations
  • Problem definition
  • Implementation
  • Results
• Topology optimisation of heat conduction problems governed by the Poisson equation
  • Problem definition
  • Implementation
• Topology optimisation of fluids in Stokes flow
  • Problem definition
  • Implementation
• Time-distributed controls
  • Background
  • Problem definition
  • Implementation
• Time-dependent optimal control of the linear scalar wave equation
  • Problem definition
  • Discretization
  • Implementation
  • Comments
• Mathematical Programs with Equilibrium Constraints
  • Problem definition
  • Penalisation technique
  • Implementation
• Learning Reaction Rates of an Advection-Diffusion-Reaction System
  • Problem Definition
  • FEniCS implementation

Shape optimization examples

• Drag minimization over an obstacle in Stokes-flow
  • Shape optimization
  • Problem definition
  • Implementation
• Tube shape-derivatives
  • Problem definition
  • Implementation