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Goal-oriented a posteriori error estimation for compressible fluid flows

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • R. Hartmann

    (University of Heidelberg, Institute of Applied Mathematics)

  • P. Houston

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

Abstract

Summary We consider the so-called “goal-oriented” a posteriori error estimation for discontinuous Galerkin finite element approximations to the compressible Euler equations of gas dynamics. By employing a hyperbolic duality argument, we derive weighted, or Type I, a posteriori error estimates which bound the error measured in terms of certain target functionals of real or physical interest. The practical advantages of this general approach are illustrated by a series of numerical experiments.

Suggested Citation

  • R. Hartmann & P. Houston, 2003. "Goal-oriented a posteriori error estimation for compressible fluid flows," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 775-784, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_70
    DOI: 10.1007/978-88-470-2089-4_70
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