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Error on convergence plot versus Relative Error

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How exactly does the error that is shown on the convergence plot relate to the relative error needed for actual convergence? The plot seems to suggest that the current solution has an absolute error of around 10e-10 however when the solution stopped it returned the message:

The relative error (4e+002) is greater than the relative tolerance.

My guess is that the error shown on the plot is the difference between the current solution and the estimated exact solution. Why is the relative error so drastically different and why is it important for convergence if the current and exact solution appear to be very close in value?

I have attached a picture of my convergence plot.

Any insight would be appreciated. Thanks!

- Peter

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