Dear Simon,
We have the class FEPointEvalation,
https://dealii.org/developer/doxygen/deal.II/classFEPointEvaluation.html
, which implements the operation of evaluating a solution at arbitrary
points (as handed in as an array to points in unit coordinates). To do
this for positions in real coordinates, you typically need to invert the
mapping, Mapping::transform_real_to_unit_cell or
Mapping::transform_points_real_to_unit_cell, see
https://dealii.org/developer/doxygen/deal.II/classMapping.html , always
assuming that you have located the correct points. Most tasks can be
reduced to this setup.
If your intent is not just the solution interpolation but the value of
shape functions, e.g. because you want to assemble a local matrix,
FEPointEvaluation is not directly providing that info, so in that case
the recommendation would be to use FEValues, despite that being terribly
inefficient. We could possibly integrate such functionality into
FEPointEvaluation if you have interest in that direction, so let us know
what your needs are.
Best,
Martin
On 05.07.22 15:56, Simon wrote:
Dear all:
I have to compute the gradient with respect to real space co-ordinates
of the shape functions belonging to a FE_Q element at arbitrary points
in the element, that is, not only at quadrature points.
What is the way to do this in dealii?
FEValues provides shape function values, gradients,... only at
quadrature points.
Thank you,
Simon
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