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  • $\begingroup$ DiscretizeRegion can also take MaxCellMeasure. Similarly you can recover an ElementMesh by simply calling it on the MeshRegion. E.g. NDSolve`FEM`ElementMesh[MR]. $\endgroup$ Commented Sep 13, 2017 at 16:20
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    $\begingroup$ @b3m2a1 OP is importing the mesh from an STL file, i.e. it has already been discretized, so DiscretizeRegion is never used. It is used in the question only to create an example of an imported mesh. $\endgroup$ Commented Sep 14, 2017 at 10:00
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    $\begingroup$ Note that you can directly import an STL as an ElementMesh: Needs["NDSolve`FEM`"]; bmesh = Import["~/gear.stl", "ElementMesh"] but you need to do this in a fresh session. Also, you can find a lot of information in the ElementMesh generation tutorial $\endgroup$ Commented Sep 14, 2017 at 13:02