On 10/14/2018 11:57 AM, Yuxiang Wang wrote:
> 
> While I can use the shape_grad function to get the gradient of the shape 
> function with respect to the real cell coordinates, would there be a way to 
> get the shape_grad with respect to the reference natural coordinates? For 
> example, for shell element (that I'm working on), I have the global 
> coordinates (x, y, z) for a point and also a natural coordinate system (r, s, 
> t).
> 
> One possibility is that I can use the chain rule and the jacobian matrix to 
> get that value, but it'll be very computationally inefficient. Could anyone 
> please help?

I think you are asking for the *unmapped* shape functions as they are defined 
on the reference cell. That's something you can get from the finite element 
itself via the
   FiniteElement::shape_grad()
function or its implementation in derived classes.

The gradient of the shape functions mapped to a particular cell in a mesh can 
be obtained via FEValues::shape_grad(), which I think is what you are 
referring to above.

Best
  W.

-- 
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Wolfgang Bangerth          email:                 [email protected]
                            www: http://www.math.colostate.edu/~bangerth/

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