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2005
Springer

Numerical Approximation of a Control Problem for Advection-Diffusion Processes

10 years 5 months ago
Numerical Approximation of a Control Problem for Advection-Diffusion Processes
Two different approaches are proposed to enhance the efficiency of the numerical resolution of optimal control problems governed by a linear advection– diffusion equation. In the framework of the Galerkin–Finite Element (FE) method, we adopt a novel a posteriori error estimate of the discretization error on the cost functional; this estimate is used in the course of a numerical adaptive strategy for the generation of efficient grids for the resolution of the optimal control problem. Moreover, we propose to solve the control problem by adopting a reduced basis (RB) technique, hence ensuring rapid, reliable and repeated evaluations of input–output relationship. Our numerical tests show that by this technique a substantial saving of computational costs can be achieved.
Alfio Quarteroni, Gianluigi Rozza, L. Dedè,
Added 27 Jun 2010
Updated 27 Jun 2010
Type Conference
Year 2005
Where IFIP
Authors Alfio Quarteroni, Gianluigi Rozza, L. Dedè, Annalisa Quaini
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