(Deleted) Eigenfunctions on Surface in 3D


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17 days ago by
I want to compute eigenvalues of the Laplacian on the Octahedron



by solving on



How do I make sure that the eigenfunction values and normal derivatives agree on the edges inside of the 2D surfaces and on corresponding edges if you fold the 2D domain to the Octahedron?
Community: FEniCS Project
A more direct approach might be to just build up a mesh with the octahedron geometry and connectivity, using parametric dimension 2 and physical dimension 3.  FEniCS has supported solving PDEs on embedded manifolds for some time

https://www.geosci-model-dev.net/6/2099/2013/gmd-6-2099-2013.pdf

so it should not be necessary to flatten geometries that can be represented by triangular facets.  However, I have not worked much with this functionality.
written 17 days ago by David Kamensky  
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