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    $\begingroup$ Please provide the code that created em. $\endgroup$ Commented Mar 7, 2016 at 0:44
  • $\begingroup$ Does it change when you make a simpler mesh (less elements, thinner shell, etc...)? $\endgroup$ Commented Mar 7, 2016 at 0:49
  • $\begingroup$ Min[em["Quality"]] seems fine. $\endgroup$ Commented Mar 7, 2016 at 0:53
  • $\begingroup$ This reveals that there is a problem in the boundary of the mesh: bmesh = ToBoundaryMesh[em]; ToElementMesh[bmesh] as it fails to generate a tetrahedralized mesh. $\endgroup$ Commented Mar 7, 2016 at 1:15
  • $\begingroup$ @bbgodfrey In the linked question I provided a simplified version of the code I use to create the spferical surface. The code I use to create the spherical shells is very long and complex because of the "wedge" elements and of many edge cases. I'm not sure if I can extract and post a simplified enough version. $\endgroup$ Commented Mar 7, 2016 at 9:12