A framework for automated PDE-constrained optimisation

Understand

A generic framework for the solution of PDE-constrained optimisation problems based on the FEniCS system is presented.

• Its main features are an intuitive mathematical interface, a high degree of automation, and an efficient implementation of the generated adjoint model.
• The framework is based upon the extension of a domain-specific language for variational problems to cleanly express complex optimisation problems in a compact, high-level syntax.
• For example, optimisation problems constrained by the time-dependent Navier-Stokes equations can be written in tens of lines of code.