Hi all,

In the time I have used deal.ii I have used it to solve 2D systems of equations (x and y), and have not dealt with a third dimension. However, I wish to augment the system of equations I solve with a 3D equation (x, y, z), one which will only affect the 2D equations through the z-integral of a three-dimensional field. (And I don't want to make the 2D equation a trivially-3D one so that it can be solved on a 3D grid... I don't think.) So basically I want to go back and forth between a 2D and 3D grid. I was wondering if any tools existed in deal.ii that would make this a little bit easier - for example, when working with the 3D grid, a way to get a reference to the cell which is its projection in the x-y plane. Or a quick way to populate a 2D vector with the z-integral of a 3D field. I think I see a way to do things like this "manually", but it may be slow and has the potential for dozens and dozens of bugs.

If anyone knows of any deal.ii functionality which will make operations of this sort easier, I would greatly appreciate it. (I will only be considering uniformly refined meshes, by the way.)

Thanks
Dan
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