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The issue of single-grid discretization error estimator, operating in thepostprocessor mode, is addressed in the paper. An ensemble of numericalsolutions, obtained using solvers of different accuracy, is shown to provide anupper estimate for the norm of the discretization error. Numerical tests forthe supersonic flows, governed by two dimensional Euler equations, confirm thefeasibility for the norm estimation, if the ensemble of numerical solutions isseparated into clusters of accurate and inaccurate solutions.

On Estimation of Discretization Error Norm via Ensemble of Approximate Solutions