From: Wolfgang Bangerth Date: Fri, 10 May 2019 03:50:02 +0000 (-0600) Subject: Add another note about the BR element. X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=d5f35a87b394f000a545d9fc62b644cbca97a44e;p=release-papers.git Add another note about the BR element. --- diff --git a/9.1/paper.tex b/9.1/paper.tex index a53841e..49a37b4 100644 --- a/9.1/paper.tex +++ b/9.1/paper.tex @@ -173,6 +173,17 @@ following section. There are a number of other noteworthy changes in this releas pressure space to provide additional accuracy commensurate with the cost of the large number of velocity unknowns. The BR space is intermediate to the $Q_1^d$ and $Q_2^d$ spaces. + + The current implementation of the element only works for + parallelogram meshes due to difficulties associated with the mapping + of shape functions: The shape functions of the $Q_1^d$ part of the + element need to be mapped as scalars, as is common for the vector + components of the $Q_1^d$ element; on the other hand, the + vector-valued edge bubble functions need to be mapped using the + Piola transform as is common for the Raviart-Thomas + element. \dealii{} does not currently have the ability to use + different mappings for individual shape functions, though this + functionality is planned for the next release. \item The \texttt{FE\_NedelecSZ} class is an alternative implementation of the ideas behind the N{\'e}d{\'e}elec element. It is based