hN-adaptive spectral element discretization of optimal control problems for environmental applications

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-diffusion state equation. This model has been employe...

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Bibliographic Details
Published in:SeMA journal 2011, Vol.53 (1), p.55-69
Main Authors: Gaudio, L., Quarteroni, A.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Summary: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-diffusion state equation. This model has been employed to forecast and suitably reduce, by an optimization process, the pollutant concentration in air on a specific 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.
ISSN:1575-9822
2281-7875
2254-3902
DOI:10.1007/BF03322581