From 51e466bdca4b3b9090aa06dd1b7b6374e8f1cbae Mon Sep 17 00:00:00 2001 From: Denis Davydov Date: Fri, 3 Mar 2017 16:34:35 +0100 Subject: [PATCH] FE_Enriched --- 8.5/paper.tex | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/8.5/paper.tex b/8.5/paper.tex index 99deff8..e0546bc 100644 --- a/8.5/paper.tex +++ b/8.5/paper.tex @@ -348,7 +348,9 @@ shown in the updated step-37 tutorial program. \subsection{The \texttt{FE\_Enriched} class} -TODO: Denis +\verb!FE_Enriched! finite element implements a partition of unity finite element method (PUM) by Babuska and Melenk which enriches a standard finite element with an enrichment function multiplied with another (usually linear) finite element. This allows to include in the finite element space a priori knowledge about the partial differential equation being solved which in turn improves the local approximation properties of the spaces. The user can also use enriched and non-enriched finite elements in different parts of the domain. +\verb|!DoFTools::make_hanging_node_constraints()| function can automatically make the resulting space $C^0$ continuous. +Existing \verb|SolutionTransfer| class can be used to transfer the solution during $h$\,-adaptive refinement from a coarse to a fine mesh under the condition that all child elements are also enriched. \subsection{The \texttt{FE\_Series} namespace} -- 2.39.5