]> https://gitweb.dealii.org/ - release-papers.git/commitdiff
FE_Enriched
authorDenis Davydov <davydden@gmail.com>
Fri, 3 Mar 2017 15:34:35 +0000 (16:34 +0100)
committerDenis Davydov <davydden@gmail.com>
Fri, 3 Mar 2017 15:34:35 +0000 (16:34 +0100)
8.5/paper.tex

index 99deff80ff04bf274aa2f3a1b098b066cae7a40a..e0546bc82246b11d35c795f66a0ceedbba7b5132 100644 (file)
@@ -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}
 

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