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Estimate scalar field whose source is not defined on grid point

Submitted by rohan_patel8388 on

 
Hello,
 
I need to compute value of scalar field on grid points. But the thing is that the source (scalar value e.g strain or temperature) is not defined on grid point. It's somewhere between the mesh element and i want to comute its effect on grid points of regular mesh created by finite difference scheme.
 
Could any one please give me idea or hint in order to do approach for computing it?
 
Thanks,
Rohan