On 9/22/21 2:37 AM, Sebastian Kinnewig wrote:

When I implement the computation of the embedding matrix , as done in FE_Nedelec, in FE_NedelecSZ the program compiles and runs without any warnings or errors (even in debug mode). But from the results it appears that there still is a problem with the hanging nodes.

Alexander knows this element much better than I do, so I have little to add. The current way we deal with constraints lives by the assumption that on every cell, the shape functions are mapped from a reference cell in the same way. I believe that that is not actually the case for the SZ element because, if I recall correctly, the sign (vector direction) of shape functions depends on the node numbers. A check for you might be to see whether at hanging nodes the *magnitude* of the solution is correct but the *sign* is wrong.

Best
 W.


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Wolfgang Bangerth          email:                 [email protected]
                           www: http://www.math.colostate.edu/~bangerth/

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