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 fin al time a posteriori error estimates in L-2 and H-1, where the error is est imated in terms of strong stability factors times norms of certain residual s. The strong stability factors are computed numerically by solving a linea rized dual problem, associated to the original problem. (C) 2000 Elsevier S cience S.A. All rights reserved.