Interpolating at centroid of a tetrahedral mesh

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Sanwar Ahmad
Sanwar Ahmad 2020년 9월 3일
답변: Ravi Kumar 2020년 9월 3일
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.


Bruno Luong
Bruno Luong 2020년 9월 3일
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.
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Bruno Luong
Bruno Luong 2020년 9월 3일
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.

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Ravi Kumar
Ravi Kumar 2020년 9월 3일
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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