Publication Results

Code: 19/2010
Title: hN-adaptive spectral element discretization of optimal control problems for environmental applications
Date: Tuesday 8th June 2010
Author(s) : Gaudio, Loredana; Quarteroni, Alfio
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Abstract: In this work, we propose an hN adaptive algorithm for optimal control problems whose space discretization is based on the spectral element method. We focus on a special class of problems described by quadratic cost functional and linear advection-di ffusion state equation. This model has been employed to forecast and suitably reduce, by an optimization process, the pollutant concentration in air on a speci c area of interest. Moreover, a local adaptive algorithm is employed to achieve a desired accuracy on the cost functional by reducing the computational cost of the problem.