Thanks for the pointer, Vivek. I did check the usual locations, including 
fe_values.h, but couldn’t locate the exact implementation of the computation 
for the hessian in the real cell coordinates. (Should involve the product of 
shape function hessians in reference coordinates, and multiplication with a 
whole lot of inverse Jacobean terms.)

Still looking for its exact implementation ….. as I am curious about the 
computational cost of this implementation.

Thanks,
Shiva

> On Aug 13, 2019, at 2:57 PM, Vivek Kumar <[email protected]> wrote:
> 
> Sorry the link is for an old version. The latest version is at: 
> https://dealii.org/developer/doxygen/deal.II/fe_2fe__values_8h_source.html 
> <https://dealii.org/developer/doxygen/deal.II/fe_2fe__values_8h_source.html>
> 
> On Tuesday, August 13, 2019 at 3:55:28 PM UTC-4, Vivek Kumar wrote:
> You can find the source code, i.e. the corresponding include file, at the top 
> of any class documentation. In this case it is #include 
> <deal.II/fe/fe_values.h 
> <https://www.dealii.org/8.4.1/doxygen/deal.II/fe_2fe__values_8h_source.html>>.
>  The source code can be found at 
> https://www.dealii.org/8.4.1/doxygen/deal.II/fe_2fe__values_8h_source.html 
> <https://www.dealii.org/8.4.1/doxygen/deal.II/fe_2fe__values_8h_source.html>
> 
> On Tuesday, August 13, 2019 at 1:22:55 PM UTC-4, Shiva Rudraraju wrote:
> Hi,
> 
> I am curious where the code for the computation of Hessian of shape functions 
> (with respect to real cell coordinates) resides. Basically, where the source 
> code corresponding to shape_hessian() resides, which shows the implementation 
> of the derivatives of the inverse of the Jacobian that are needed as part of 
> this computation. 
> 
> Thanks,
> Shiva
> 
> 
> 
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