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Abstract
The error indicator is an essential component of any scheme for driving anisotropic mesh adaptation. One of the challenges for error indicators is to respond correctly to changing transport conditions throughout the solution domain. This challenge is addressed in the present work. An error indicator is proposed that is based on geometric mesh quality and the sources of solution error caused by modeling face transport flows. Significant error reductions are demonstrated for a spectrum of two-dimensional scalar transport problems. Moreover, these results are relatively insensitive to the value of the single free parameter used in the error indicator.