Abstract
In many applications the quantities of interest are a series of target functionals of the solution to the governing system of partial differential equations rather than the solution itself. For example, in the field of aerodynamics, examples include the drag and lift coefficients of an airfoil immersed into a fluid, the pressure difference between the leading and trailing edges of the airfoil and point evaluations of the density or pressure on the profile of the airfoil. While traditionally these quantities are measured in wind tunnel experiments, nowadays these experiments are increasingly replaced by numerical simulations aiming to predict these quantities to a high level of accuracy.
Supported by the DFG Priority Research Program and the SFB 359 at the IWR, University of Heidelberg.
Paul Houston acknowledges the financial support of the EPSRC (GR/N24230).
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Hartmann, R., Houston, P. (2003). Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals. In: Hou, T.Y., Tadmor, E. (eds) Hyperbolic Problems: Theory, Numerics, Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55711-8_54
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DOI: https://doi.org/10.1007/978-3-642-55711-8_54
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