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  • $\begingroup$ oldfunction'["ValuesOnGrid"] gives the values of the derivative on the grid, if you didn't know that. The way you show seems to do what you want. If you use multiple functions, each has to be defined on the same element mesh. If not, evaluate the function on the coordinates of the element mesh that is the basis of the new interpolating function. $\endgroup$
    – Michael E2
    Commented Jul 4 at 16:07
  • 3
    $\begingroup$ Do you perhaps mean to use EvaluateOnElementMesh? $\endgroup$
    – user21
    Commented Jul 4 at 17:39
  • $\begingroup$ Oh, yes! Thank you! EvaluateOnElementMesh answers my question! $\endgroup$
    – Sergey Slizovskiy
    Commented Jul 5 at 18:08
  • $\begingroup$ I did not have this function in my Version 13, will need to update to 14. $\endgroup$
    – Sergey Slizovskiy
    Commented Jul 5 at 18:17