Hi, everyone!
This is a problem related to post-processing. But I can't find a solution
from the DataPostprocessor class. Here is the description of my problem.
1. Solve a PDE on a 2D domain [0, 1]X[0, 1] in the x-y plane by FEM with
a fixed mesh, say, a 16X16 mesh. The FEM solution is a Vector u=u(x, y).
Information of u(x, y) is known if (x, y) is a grid point of the mesh.
2. I need to solve for a curve x=f(y) defined by u(f(y), y)=f(y), for
0<y<1, where f(0) is known.
3. On paper, we can solve for curve x=f(y) using Newton's method so long
as u(x, y) and derivatives of u(x,y) are known for all (x, y) in [0, 1]X[0,
1].
4. Is it possible to evaluate solution u and its derivatives at (x, y)
which is not a grid point of the mesh?
5. Ultimately, curve x=f(y) will be approximated by f(0), f(y_1),
f(y_2), ..., f(y_{15}), f(1). Here is a related problem. Is there a way to
get a 1D projection of a 2D mesh in dealii? In this case, I need the
projection of the 16X16 mesh onto the y-axis.
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