as far as I have understood (but I might be wrong), the functions
VectorTools::interpolate_boundary_values
<https://www.dealii.org/8.4.0/doxygen/deal.II/namespaceVectorTools.html#af6f700f193e9d5b52e9efe55e9b872d5>
MatrixTools::apply_boundary_values
<https://www.dealii.org/8.4.0/doxygen/deal.II/namespaceMatrixTools.html#a41a069894610445f84840d712d4f891e>
find the nodes where Dirichlet BC's are applied and then there impose the
corrensponding boundary value, after having built the system matrix and
right-hand side.
Another possibility would be to use a Dirichlet lift, change the weak
formulation and solve for homogeneous Dirichlet boundary conditions. I am
wondering if someone already did this or if it somewhere implemented in deal.ii
It may not look like it, but that's really what the functions do that you cite
above.
The algorithm is a bit complicated, but take a look at lectures 21.6 and 21.65
here:
http://www.math.colostate.edu/~bangerth/videos.html
Best
Wolfgang
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Wolfgang Bangerth email: [email protected]
www: http://www.math.colostate.edu/~bangerth/
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