On 2/21/24 15:10, Javier Almonacid wrote:
Is there any method already implemented in deal.II to project cell-based
quadrature point data onto the boundary? The end goal is to compute some
forces on the surface in step-44 and for that, I need to project the Kirchhoff
stresses (tau) onto the boundary.
An idea that occurred to me was to first project the quadrature point data
into a more global element with DOFs (a finite element function) using one of
the recommended extensions in step-18. However, I don't know if this is a good
start because then the problem is how to project this object (coming from say,
FE_DGQ) onto the boundary (these are all cell-wise operations by the way, as
in step-18).
Javier,
do I understand correctly that you have some quantity (in your case the
Kirchhoff stress) stored at quadrature points of each cell only, and you
wonder how you could get an approximation of that quantity at points on the
faces of that cell?
I can think of a number of ways of doing this, including interpolating or
projecting onto a finite element field and evaluating it, but also just taking
the cell-q_point that is closest to the face-q_point. In the end, can I ask
you for a concise mathematical definition of what you want to do first, and
then one can think of how to implement it?
Best
W.
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Wolfgang Bangerth email: bange...@colostate.edu
www: http://www.math.colostate.edu/~bangerth/
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