On 10/8/21 2:19 PM, Diego Magela wrote:

Yes, it is right. These are C^1 finite elements.

These elements are difficult to implement. Maybe not for the 1d case, but certainly for the 2d case. Have you taken a look at the existing step-47 and the new step-82 (in the dev version)? They show how one can work around the issues of C^1 elements by using regular Lagrange elements and ensuring C^1 continuity in other ways.

Shell and beam elements have, over the years, fallen out of favor in the finite element community. That's because they are difficult to implement on unstructured meshes, and because alternative methods are no worse in accuracy and cost.

Best
 Wolfgang

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

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