Hello, Geordie.
Thank you for reply.
I used "Tools - Visibility - Numeric - Mesh - Hide all elements - Show
Element (for instance, 1365)" to draw that figure.

Oh right, O.K.  It's a funny looking shape, isn't it.  Perhaps that's
just how Gmsh depicts nonlinear elements?

It's a very important question!
Please, look at 2 figures:
this is a shpere that was approximated by first order tets http://saveimg.ru/show-image.php?id=47cdfa0e6f7a01f5dee8880c7081e151 this is a sphere that was approximated by second order tets http://saveimg.ru/show-image.php?id=fa66051392be4e36e2262055272170e1 These 2 meshes was created by gmsh from one geo file (and with the same characteristic lengths).
I will wonder if it is a feature of visualization.
Standard 10-node second order tetrahedron differs from 4-node first order tetrahedron by adding 6 node in the middles of the edges of tetrahedron. I think that gmsh not only adds new 6 nodes but changes the coordinates of these nodes too. Therefore we have nonstandard 10-node quadratic tetrahedron and the formulae of the shape functions defined on the standard one don't work.
Am I wrong?

Mikhail Artemiev


To create the mesh I used command "gmsh mygeo.geo -3 -bin -order 2 -o
mymesh.msh", therefore following the manual the elements of the mesh are
10-node second order tetrahedra.

That's all pretty standard.

I don't know is this gmsh element a standart 10-node quadratic tetrahedron or not.

I suppose it doesn't matter so much what Gmsh thinks as what your
finite element solver thinks?  I'd say it's free to interpret Gmsh
type-11 elements as quadratic tetrahedra.

I will see the formulae. I hope that they will help me.

O.K.  Let us know if you get stuck, or rather write to the list; I
think that's better in general, because others might know the answer
better or sooner than me, and also it saves it for posterity.


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