| Summary: | In this thesis, we present a computational study of the stability of time-dependent dual problem for incompressible flow with low viscosity in 2D. The dual problem measures the sensitivity of an output functional with respect to numerical errors and is a key part of goal-oriented a posteriori error estimation. Our investigation shows that the dual problem associated with the computation of the drag force for the incompressible Navier-Stokes equations, which is approximated numerically using finite element discretization and residual based artificial viscosity stabilization technique, is unstable and exhibits blowup.
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