Adaptive streamline diffusion methods for compressible flow using conservation variables (Q1204208)

The main purpose of this note is to present some computational results for adaptive stream diffusion (SD) methods in conservation variables applied to the non-stationary Euler equations for compressible flow in two space dimensions. In this case a posteriori error estimates have not yet been proved and it is not known how to design reliable and efficient adaptive algorithms. We test different algorithms which are natural extensions of the ones we have developed for SD-methods for scalar convection-diffusion problems [\textit{K. Eriksson} and the second author, Adaptive streamline diffusion finite element methods for convection- diffusion problems, Univ. of Goeteborg, Dep. of Math. (1990)].