I am trying to calculate a heat equation using a similar approach as in step-33 (auto-diff). Now my heat source is very narrow and very intense, resulting in a high gradient (1e6 within one or two cells), thus crashing the program with a solver error of "loss of precision". What can I do to mitigate that? I can not change the shape and the parameters of the heat source, but would increase the amount of points in my grid mitigate that problem?
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