Adaptive finite element methods for compressible flow

Abstract

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 L 2 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.