On 9/28/24 01:37, Praveen C wrote:
I want to map a fixed Cartesian mesh to some other domain, e.g., as in the
work of Thomas Wick. So I dont want to modify the Cartesian mesh, as it is
supposed to describe the reference domain.
I am constructing a MappingFEField to achieve this mapping by solving some
elliptic equation.
To describe the displacement of the boundary of Cartesian mesh, I was hoping
to attach a Manifold. But Manifold fixes vertex locations,
The manifold you would attach this way applies to the triangulation, which you
don't want to change, not to the computed transformation. You need to
prescribe your boundary displacement as the boundary conditions for the
elliptic equation you describe. (In fact, you can compute this via the
GridTools::laplace_transform() function.)
So I think I should just fill boundary values of the euler_vector of
MappingFEField myself and proceed.
That's essentially right, except that the euler_vector is going to be the
output of the elliptic solver that takes the boundary values as inputs.
Best
W.
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Wolfgang Bangerth email: bange...@colostate.edu
www: http://www.math.colostate.edu/~bangerth/
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