MATLAB: Interpolation in the baricenter of a tetrahedron

femfinite elementsinterpolationMATLABmeshnumericplasmplasmapost processingprocessingtetrahedron

Hi,

I have to do post-processing on a 3D domain discretized in tetrahedrons. I have a matrix of the values of plasm density in the nodes of them. I also have the coordinates of the baricenters of all of them but I need to interpolate the values known in the nodes in their baricenters. Is there a simple (or not) way to do it?

Thanks.

Best Answer

1/4 sum values of 4 nodes

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MATLAB: Interpolation

To clarify: if the combination holds of x in 360 to 380, and y in 2200 to 2400, then z should be the constant value 900? If so, use logical indexing.

Table = [360 380 2200 2400 900; 325 333 2817 2895 888];  %e.g.
z = NaN(size(X_calc));
for K = 1 : size(Table,1)
  idx = X_calc >= Table(K,1) & X_calc <= Table(K,2) & ...
          Y_calc >= Table(K,3) & Y_calc <= Table(K,4);
    z(idx) = Table(K,5);
  end

MATLAB: Interpolation

You probably need to use interp1. If you can post your code, I can maybe be more specific.

HTH,

Arnaud

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MATLAB: Interpolation

MATLAB: Interpolation

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