ICNAAM 2012: Optimal control of coupled PDE networks with automated code generation

Today was the presentation of Delta Pi Systems at the 10th international conference of numerical analysis and applied mathematics, ICNAAM 2012, with title "Optimal control of coupled PDE networks with automated code generation".

The purpose of this work is to present a framework for the optimal control of coupled PDE networks. A coupled PDE network is a system of partial differential equations coupled together. Such systems can be represented as a directed graph. A domain specific language (DSL)--an extension of the DOT language--is used for the description of such a coupled PDE network. The adjoint equations and the gradient, required for its optimal control, are computed with the help of a computer algebra system (CAS). Automated code generation techniques have been used for the generation of the PDE systems of both the direct and the adjoint equations. Both the direct and adjoint equations are solved with the standard finite element method. Finally, for the numerical optimization of the system standard optimization techniques are used such as BFGS and Newton conjugate gradient.

Optimal control of coupled PDE networks with automated code generation fromdelta-pi-systems (By on aip.org)

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