Summary.
We generalise and apply a refinement indicator of the type originally designed by Mackenzie, Süli and Warnecke in [15] and [16] for linear Friedrichs systems to the Euler equations of inviscid, compressible fluid flow. The Euler equations are symmetrized by means of entropy variables and locally linearized about a constant state to obtain a symmetric hyperbolic system to which an a posteriori error analysis of the type introduced in [15] can be applied. We discuss the details of the implementation of the refinement indicator into the DLR-\(\tau\)-Code which is based on a finite volume method of box type on an unstructured grid and present numerical results.
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Received May 15, 1995 / Revised version received April 17, 1996
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Sonar, T., Süli, E. A dual graph-norm refinement indicator for finite volume approximations of the Euler equations. Numer. Math. 78, 619–658 (1998). https://doi.org/10.1007/s002110050328
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DOI: https://doi.org/10.1007/s002110050328