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On Sunday, November 5, 2023 at 10:37:42 a.m. UTC-5 M. Bakry wrote: > Dear Wolfgang, > > thanks very much for your answer. I think I will give it a try when I > find some time. Non-C1 manifolds are not an issue in the framework of the > BEMs. One can, for example, take a look at this reference > <https://www.jstor.org/stable/4100944>. > > Best regards, > > M. > > Le sam. 4 nov. 2023 à 03:45, Wolfgang Bangerth <bang...@colostate.edu> a > écrit : > >> On 11/3/23 15:06, M. Bakry wrote: >> > - it seems that the Piola transform is implemented for the >> 'codimension=1' >> > case (according to the templatization). Could codim=1 RT elements be >> > implemented by computing the RT on the reference quad then by applying >> the >> > corresponding Piola transform ? >> >> Marc -- quite possibly. The implementation of the RT element predates the >> codimension-1 functionality by several years, and I suspect that the >> major >> issue is that nobody has taken the time to convert the implementation to >> support surfaces. >> >> I will note that unless you have a C^1 manifold description -- for >> example if >> you try to describe a surface by using bilinear quads without using a >> manifold >> description -- then the normal vectors from adjacent cells are not going >> to >> point in the same direction (more precisely, they will be tangential to >> the >> cell, but not to the underlying manifold). In that case, you'll end up >> with a >> non-conforming RT space because the normal component of the finite >> element >> field is not continuous across cell interfaces. >> >> Best >> W. >> >> -- >> ------------------------------------------------------------------------ >> Wolfgang Bangerth email: bang...@colostate.edu >> www: http://www.math.colostate.edu/~bangerth/ >> >> >> -- >> The deal.II project is located at http://www.dealii.org/ >> For mailing list/forum options, see >> https://groups.google.com/d/forum/dealii?hl=en >> --- >> You received this message because you are subscribed to a topic in the >> Google Groups "deal.II User Group" group. >> To unsubscribe from this topic, visit >> https://groups.google.com/d/topic/dealii/6Z8jBTShIq8/unsubscribe. >> To unsubscribe from this group and all its topics, send an email to >> dealii+un...@googlegroups.com. >> To view this discussion on the web visit >> https://groups.google.com/d/msgid/dealii/5b4695d4-b010-8591-135b-303cd6d27dc7%40colostate.edu >> . >> > -- The deal.II project is located at http://www.dealii.org/ For mailing list/forum options, see https://groups.google.com/d/forum/dealii?hl=en --- You received this message because you are subscribed to the Google Groups "deal.II User Group" group. To unsubscribe from this group and stop receiving emails from it, send an email to dealii+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/dealii/fb6f1fc5-676d-41b2-a143-2ae7bcffb4d2n%40googlegroups.com.
