Bénéfice de la gouvernance pour l’adaptation aux sécheresses – Guide d’évaluation de la gouvernance

This guide presents the work of the team of scientists that have been working in the project “Benefit of Governance in Drought Adaptation” (in short: the DROP project), which has received funding from the Interreg IVB programme of the European Union. As a result of climate change, it is expected that extreme events influencing water management (flooding or drought) will increase. Early adaptation to this trend of increasing climatic extremes is therefore required. Governance plays a crucial role in the adaptation process particularly in restricting or facilitating the implementation of adaptation measures. In-depth knowledge about the governance setting of a given region and how to influence governance processes is therefore essential in realizing effective adaptation

Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems

Distributed optimal control problems, Mixed control-state constraints, Adaptive finite elements, Posteriori error analysis,

On a SQP-Multigrid Technique for Nonlinear Parabolic Boundary Control Problems

An optimal control problem governed by the heat equation with nonlinear boundary conditions is considered. The objective functional consists of a quadratic terminal part and a quadratic regularization term. It is known, that an SQP method converges quadratically to the optimal solution of the problem. To handle the quadratic optimal control subproblems with high precision, very large scale mathematical programming problems have to be treated. The constrained problem is reduced to an unconstrained one by a method due to Bertsekas. A multigrid approach developed by Hackbusch is applied to solve the unconstrained problems. Some numerical examples illustrate the behaviour of the method. AMS subject classification: 49M40, 49M05 Keywords: optimal control, semilinear parabolic equation, multigrid method, SQP method 1 Introduction The behaviour of Lagrange--Newton--SQP methods for solving nonlinear optimal control problems has been the subject of several recent publications. For instance, th..