Having a nonlinear, time-dependent heat equation, I tried to implement it as in step-15 and in step-33. Everytime my l2-value goes below a certain threshold, I make one step in time (or I refine the mesh). At the beginning the L2-value goes down rather fast, but later it slows down, and even stops going lower. Refining the mesh does not help (after it already is refined as much as possible), resulting in a looping program, unless I increase the maximum mesh refinement value. This behaviour mostly is exhibited when having rather large value differences. Does that mean that the program is not able to reflect those differences? And if yes, is there another solution than to increase the amount of grid points? Thanks!
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