On 08/22/2017 09:30 AM, 'Maxi Miller' via deal.II User Group wrote:
I think my question was badly formulated. When solving the equation
above, I get 2d-slices for every step, which are then assembled to a
3d-model in z-direction. Is something similar possible with dealII, or
do I have to use external programs for that?
You can do either. You can either treat 'z' as a time-like variable and
do time-stepping in this direction (solving a sequence of 2d problems in
the process) or use a single problem in the same vein as people do when
they use space-time finite elements. If you search for "space-time
finite element methods", you will find a lot of literature -- in
essence, you end up with a problem that is diffusive in one direction
but an advection problem in the time/z direction; as always for
advection problems, you will have to choose an appropriate formulation
to make things stable.
Both methods are of course implementable in deal.II.
Best
W.
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Wolfgang Bangerth email: [email protected]
www: http://www.math.colostate.edu/~bangerth/
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