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<!DOCTYPE HTML>
<html>
<head>
<title>The deal.II Finite Element Library</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0"/>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8"/>
<link rel="icon" href="/favicon.ico"/>
<link rel="apple-touch-icon" href="/pictures/clover57.png"/>
<meta name="author" content="the deal.II authors"/>
<meta name="robots" content="index, follow">
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<body>
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<div id="content" class="container">
<div class="row">
<div class="col-xs-12 col-sm-9">
<div class="well">
<h1>Reports</h1>
<p>
There are a number of papers that describe the overall design or
individual aspects of <abbr>deal.II</abbr>. Please refer to the
papers listed at the top of
the <a href="/publications.html">publications page</a> for full
references. In addition,
there are the following reports:
<ul>
<li>
A brief report about the classes involved in the
<a href="/reports/class-hierarchies/index.html">iterators and accessors</a>
used to access cells in the triangulations and the data
thereon, such as their geometry, the number of the
degrees of freedom, data values, etc. You may want to
read this object or parts of it if you want to know what
information is available from iterators (by Wolfgang
Bangerth).
</li>
<li>
A brief report on <a href="/reports/mapping_q/index.html">mapping</a> functions of higher polynomial
degrees (by Ralf Hartmann). These allow the realisation
of higher order boundary approximations. This report
gives the theoretical background of the
<code>MappingQ</code> class.
</li>
<li>
A report on
<a href="/reports/assemble/assemble.pdf">assembling matrices</a> (by Wolfgang
Bangerth). This report looks in particular at how
matrices are assembled for vector-valued problems, and
how things change if vector-valued finite elements are
used for which the shape functions have more than one
non-zero vector component, such as Nedelec or
Raviart-Thomas elements.
</li>
<li>
A very detailed report on
<a href="/reports/nedelec/nedelec.pdf">Nedelec elements</a> (by Anna
Schneebeli, University of Basel, Switzerland). It
explains the construction and application of Nedelec
edge elements for H-curl spaces, as used, for example,
in the numerical solution of the Maxwell equations. It
also gives numerical results obtained with deal.II.
</li>
<li>
A report on the
<a href="/reports/codimension-one/desimone-heltai-manigrasso.pdf">codimension one</a> capabilities of the library
(by Antonio DeSimone, Luca Heltai and Cataldo Manigrasso,
SISSA, Trieste, Italy). It explains in detail how to use the
library for the solution of problems defined on codimension
one manifolds, such as, for example, Boundary Element
Methods.
</li>
</ul>
</p>
</div>
</div>
</div>
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