We develop an adaptive finite element method for a class of distributed optimal control problems with control constraints. The method is based on a residual-type a posteriori error estimator and incorporates data oscillations. The analysis is carried out for conforming P1 approximations of the state and the co-state and elementwise constant approximations of the control and the co-control. We p...

In this paper, we employ the reduced basis method for the efficient and reliable solution of parametrized optimal control problems governed by scalar coercive elliptic partial differential equations. We consider the standard linear-quadratic problem setting with distributed control and unilateral control constraints. For this problem class, we propose two different reduced basis approximations ...

A security mechanism that has its origin in operating systems is the Access Control List. It specifies the access rights a principal has on an object (or resource). An example is an entry such as “User A can Read file X’. Often such lists are distributed throughout a system instead of being confined to one physical location (because a single location could become a bottleneck). ACL’s are being ...

This contribution is concerned with the development, analysis and implementation of Adaptive Finite Element Methods (AFEMs) for distributed and boundary control problems with control constraints. AFEMs consist of successive loops of the cycle ’SOLVE’, ’ESTIMATE’, ’MARK’, and ’REFINE’. Emphasis will be on the steps ’SOLVE’ and ’ESTIMATE’. In this context, ’SOLVE’ stands for the efficient solutio...

The problem of nding the minimum topology of multipro-cessing substrates supporting parallel execution of any given neighbourhood constrained system is proposed and possible optimal strategies are investigated based on the relationship between Barbosa's scheduling by edge reversal-SER-distributed algorithm and the minimum clique covering problem. It is shown that from any given clique covering ...

Robustness of optimization models for network problems in communication networks has been an under-explored topic. Most existing algorithms for solving robust optimization problems are centralized, thus not suitable for networking problems that demand distributed solutions. This paper represents a first step towards a systematic theory for designing distributed and robust optimization models an...

the main purpose of this paper is to propose a new numerical method for solving the optimal control problems based on state parameterization. here, the boundary conditions and the performance index are first converted into an algebraic equation or in other words into an optimization problem. in this case, state variables will be approximated by a new hybrid technique based on new second kind ch...