Interpolating at centroid of a tetrahedral mesh
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Sanwar Ahmad on 3 Sep 2020
Answered: Ravi Kumar on 3 Sep 2020
I have a 3D mesh with 4-noded tetrahedral elements. I defined a function/vector evaluated at the vertices of the mesh. I need to interpolate this vector at the centroid of each of the tetrahedral elements. Is there any built-in function to do that? I used pdeintrp for 2D mesh, but not sure if it works for the 3D mesh.
Thanks in advance.
The vector at the centroid of the tetrahedron is just the mean of the 4 vectors taken at 4 vertices.
So using MEAN with appropriate indexing and you are OK.
You seem to use loosly the vocabulary. For P1 the basis functions are linear on the elements and continuoius on the entire domain. It's a triangle on 1D and "hat" like in 2D. To simplify this cumbersome description people calls it P1 elements.
The basis functions are NOT linear.
Ravi Kumar on 3 Sep 2020
You can use interpolateSolution if you are using equation based interfaces to setup the problem. If you are solving a structural or thermal problem, then you can use interpolateDisplacement or interpolateTemperature, respectively.
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