Optimal Control Problems for Partial Differential Equations on Reticulated Domains

Optimal Control Problems for Partial Differential Equations on Reticulated Domains

Approximation and Asymptotic Analysis

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Optimal control of partial differential equations (PDEs) is a well-established discipline in mathematics with many interfaces to science and engineering. During the development of this area, the complexity of the systems to be controlled has also increased significantly; however, the numerical realization of these complex systems has become an issue in scientific computing, as the number of variables involved may easily exceed a couple of million.In order to carry out model-reduction on these systems, the authors of this work have developed a method based on asymptotic analysis. They aim at co...