Goal-oriented a posteriori error estimation for compressible fluid flows
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.
KeywordsPosteriori Error Posteriori Error Estimation Error Indicator Posteriori Estimate Target Functional
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