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Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

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  • Ralf Hartmann

    (University of Heidelberg, Institute of Applied Mathematics)

  • Paul Houston

    (University of Leicester, Department of Mathematics & Computer Science)

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.

Suggested Citation

  • Ralf Hartmann & Paul Houston, 2003. "Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 579-588, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_54
    DOI: 10.1007/978-3-642-55711-8_54
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