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Message #23029
Re: [Question #156272]: Computing numerical integral of a function on a cell
Question #156272 on DOLFIN changed:
https://answers.launchpad.net/dolfin/+question/156272
Status: Answered => Open
James Avery is still having a problem:
Hi Marie, thanks so much for your swift reply!
I'm not quite sure I understand, though: Once this bit of UFL is FFC'ed,
how do I then compute the cell integrals of the density from Dolfin/C++?
Just to make sure we're on the same page:
1. 'density' is a spatial scalar function given at runtime (I suppose the UFL data type would be Coefficient(mesh)?).
2. For each cell, I need to evaluate the cell integral of 'density'. If there is more than a given amount in a cell, I mark it for subdivision. This proceeds iteratively until each cell contains no more than a given amount of density.
Now, in your above example, I understand that 'b' defines a vector of
length (number of cells), the entries being the cell integrals of
'density'.
1. This is UFL-code, which is compiled with FFC, is that correct? From the C++-program, how do I then execute the cell-integration and access the results?
2. How are the integrals calculated, then?
3. Can't I just get the quadrature points and quadrature weights in an easy way? Then the operation is essentially trivial.
I think I may still be harboring some confusion about how UFL/FFC and
Dolfin interoperate -- about what is done offf-line by FFC, and what can
be done on-line by Dolfin. I hope the confusion doesn't make it too
difficult to answer my question.
Thanks very much for your help!
Cheers,
James
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