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Is the order relevant in which I do triming and coarsening of the mesh?

When I do springback analysis after trimming, I need to coarsen the mesh to decrease the memory requirement and increase the computation speed. We can trim the mesh first and then do coarsen the mesh; we also can coarsen the mesh first, and trim the mesh later. Is there any difference between the above two methods?

Yes, there is some difference. In trimming process, it is nice to have a relatively uniform mesh along the trimming curve, otherwise, the trimmed mesh might have some very bad aspect ratio which is detrimental to springback analysis.

It is recommended that trimming be done first and coarsening be done later.