Adaptive finite element methods for compressible flow

We consider adaptive streamline diffusion finite element methods with error control for compressible flow in d = 1, 2, 3 space dimensions. We prove final time a posteriori error estimates in L2 and H-1, where the error is estimated in terms of strong stability factors times norms of certain residuals. The strong stability factors are computed numerically by solving a linearized dual problem, associated to the original problem.

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