I am trying to solve the heat equation for round heat sources and very small diffusion coefficients (<1e-7). Now when comparing the results between round heat sources and square heat sources, I get the following result for round heat sources: <https://lh3.googleusercontent.com/-6DAPX-JcWLg/Wnr49rTZxDI/AAAAAAAACcg/grQhq_phn1UIY9QMKirAuuVId0j2Hj0dgCLcBGAs/s1600/visit0002.png>
and for square heat sources: <https://lh3.googleusercontent.com/-TslXAsFzEoU/Wnr5TfQt1xI/AAAAAAAACck/Zjq9Vf7Qugk7LIZUem3bvetm82jGJfrIACLcBGAs/s1600/visit0001.png> When comparing both results, I get spikes (i.e. overshooting values) at the border of the square heat source, but none at the border for the round heat source. I assume that there are discretization problems, after the problematic cells overlap with the grid cells. What can I do to minimize those spikes? They only appear for very low values of the diffusion coefficient, and get smaller for a higher grid resolution, but I can not remove them completely. Thanks! -- The deal.II project is located at http://www.dealii.org/ For mailing list/forum options, see https://groups.google.com/d/forum/dealii?hl=en --- You received this message because you are subscribed to the Google Groups "deal.II User Group" group. To unsubscribe from this group and stop receiving emails from it, send an email to dealii+unsubscr...@googlegroups.com. For more options, visit https://groups.google.com/d/optout.