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  • $\begingroup$ Should f[x, y] only be defined on the mesh vertices, and therefore return unevaluated for other values of $(x,y)$, or do you want an Interpolation? $\endgroup$ Commented Jan 3, 2023 at 19:50
  • $\begingroup$ @MarcoB I want a (piecewise linear, for example) interpolation. (I edited the post for clarification). $\endgroup$ Commented Jan 3, 2023 at 19:51
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    $\begingroup$ Then Interpolation[Transpose[{vlis, fvlis}] should work $\endgroup$ Commented Jan 3, 2023 at 19:54
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    $\begingroup$ Perhaps ElementMeshInterpolation[] is what you are looking for $\endgroup$ Commented Jan 3, 2023 at 20:14
  • $\begingroup$ @Ulrich Neumann The solution withInterpolation worked for me, but of course it is always good to have several tools at hand. What could be the advantages of ElementMeshInterpolation? Is it faster? $\endgroup$ Commented Jan 3, 2023 at 20:34