Sentence examples for approximation of control from inspiring English sources

Let us consider the finite element approximation of control problem (9 - 11).

A priori error estimates for the higher order variational discretization and mixed finite element approximation of control problems are obtained.

Now we consider the approximation of the control space to obtain the full discrete optimal control problem.

Our algorithm carefully summarizes global state information through (epsilon) decomposition such that local controllers can improve their approximation of optimal control without being overburdened by the high-dimensional state of the entire distribution network.

Here piecewise constant FE space is used for the approximation of the control due to the limited regularity of the optimal control (normally, (H^{1})).

So, we only consider piecewise constant finite elements for the approximation of the control, though higher-order finite elements will be used to approximate the state and the co-state.

There have been extensive studies in convergence for finite element approximation of optimal control problems.

In the following, we discuss the finite element approximation of the control problem (2.7).

Finally, the solution is a ROC for the low dimensional approximation of the control system.

There have been extensive studies in the convergence of finite element approximation of optimal control problems; see [2 6].

In Section 4, we establish the optimal a priori error estimates for the finite element approximation of the control problem.