Evaluation of Different Strategies for Goal Oriented Adaptivity in CFD -- Part I: The Stationary Case
AbstractMany goal oriented adaptive methods are based on a characterization of the error with respect to a user-defined functional. This error can be quantified by means of a dual solution, but depends on unknown quantities. Different strategies exist to recover the sensitivity information that go along with the approximation of these unknowns. In this paper a systematical comparison of such evaluation strategies with respect to the corresponding efficiency and reliability of the computable error estimators is presented. The investigation is based on two CFD scenarios with analytically known exact solution of the stationary incompressible Navier-Stokes equations.
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