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Is it possible to construct a constrained tetrahedral mesh of a domain using Tetgen or similar software? What I mean by constrained is that there are some nodes or edges that are not free but are predefined by the user.

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  • $\begingroup$ Yes, all unstructured mesh generators (that are worth using) can generate constrained delaunay triangulations in 2d or 3d. I personally do not have experience with tetgen, but i have used gmsh successfully for this. $\endgroup$ – Tyler Olsen Jun 13 '14 at 22:52
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Yes, I've used tetgen to do precisely this.

If you're filling a surface mesh, you'll have to generate facet triangulations first. Then you can decide whether or not you want a constrained or conforming tetrahedral mesh.

The result of either choice is described in better detail within the manual.

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