From: Denis Davydov <davydden@gmail.com>
Date: Fri, 3 Mar 2017 15:34:35 +0000 (+0100)
Subject: FE_Enriched
X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=51e466bdca4b3b9090aa06dd1b7b6374e8f1cbae;p=release-papers.git

FE_Enriched
---

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}