Nedelec elements with nodal values?

[Gadi Lahav]

Hello

I am building a simple eigenvalue solver for EM waveguides. 

When I read the gmsh documentation, it states that in .pos files, the values are given in the nodes. 

Aren't Nedelec elements coefficients referenced to it's edges? At least that is how I learned it from the FEM book by Jin. Can you please help me settle the misunderstanding?

Cheers

[alexandr...@gmail.com]

You are correct, lowest order (order 0) shape functions are associated to edges, higher orders can also be associated to faces and volumes. In any case there is no hcurl shape function associated to nodes. But when you need to render it in gmsh or in paraview the rendering software does not understand what edge shape functions are and all it wants is a triangulation between nodal values. So this is done by evaluating at each node the hcurl field and writing for each element the value at each of its node. To allow for the hcurl shape function normal discontinuities sparselizard saves each node of each element duplicated, so that the nodes are not share between elements in the .pos/.vtu, otherwise there could be no exact jump rendered as the nodal values would otherwise enforce continuity.

[Gadi Lahav]

Very interesting, indeed.

Lucky me, because I indeed needed the nodal values.

Thank you for the prompt response!

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