Dear all, Raviart-Thomas elements are often used in the framework of boundary integral equations in electromagnetics, for example when solving the Electric Field Integral Equation (see this reference <https://link.springer.com/book/10.1007/978-1-4757-4393-7>, p. 244 for example). The FE spaces are boundary spaces (see Tutorial 34 for example). I noticed that boundary RT elements are not available (codimension 1 is not implemented) and I have two questions - looking at the implementation of the FE_RaviartThomas class, the MappingKind is 'mapping_raviart_thomas' but there also exists 'mapping_piola'. Why is one chosen over the other ? I had the impression that the evaluation of the shape functions on the "space" elements was performed by applying the Piola transform to the shape function evaluated on the reference element. Is there something more which is done by the 'mapping_raviart_thomas' ? - 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 ?
Thank you in advance for your answer(s) Best regards, M. Bakry -- 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 [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/dealii/32fc3a29-1eee-4493-8e0e-c92e50fe96bbn%40googlegroups.com.
