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<div class="row">
<div class="well" id="referencing">
<h2>Referencing <abbr>deal.II</abbr></h2>
<p>
If you write a paper using results obtained with the help of
<abbr>deal.II</abbr>, please cite one or more of the following
references:
</p>
<ol>
<li>
Daniel Arndt,
Wolfgang Bangerth,
Maximilian Bergbauer,
Marco Feder,
Marc Fehling,
Johannes Heinz,
Timo Heister,
Luca Heltai,
Martin Kronbichler,
Matthias Maier,
Peter Munch,
Jean-Paul Pelteret,
Bruno Turcksin,
David Wells,
Stefano Zampini
<br />
<strong>The <abbr>deal.II</abbr> Library, Version 9.5
</strong>
<br>
Journal of Numerical Mathematics, vol. 31, no. 3, pages 231-246, 2023.
<br>
<a href="https://doi.org/10.1515/jnma-2023-0089">DOI: 10.1515/jnma-2023-0089</a>;
<a href="https://dealii.org/deal95-preprint.pdf" target="_top">preprint</a>
<br>
<pre>
@Article{dealII95,
title = {The \texttt{deal.II} Library, Version 9.5},
author = {Daniel Arndt and Wolfgang Bangerth and Maximilian Bergbauer and
Marco Feder and Marc Fehling and Johannes Heinz and
Timo Heister and Luca Heltai and Martin Kronbichler and
Matthias Maier and Peter Munch and Jean-Paul Pelteret and
Bruno Turcksin and David Wells and Stefano Zampini},
journal = {Journal of Numerical Mathematics},
year = {2023},
doi = {10.1515/jnma-2023-0089},
pages = {231--246},
volume = {31},
number = {3},
url = {https://dealii.org/deal95-preprint.pdf}
}
</pre>
</li>
<li>
D. Arndt, W. Bangerth, D. Davydov, T. Heister,
L. Heltai, M. Kronbichler, M. Maier,
J.-P. Pelteret, B. Turcksin, D. Wells
<br />
<strong>The <abbr>deal.II</abbr> finite element library: design, features, and insights
</strong>
<br>
Computers & Mathematics with Applications, vol. 81, pages 407-422, 2021.
<br>
<a href="https://doi.org/10.1016/j.camwa.2020.02.022">DOI: 10.1016/j.camwa.2020.02.022</a>;
<a href="https://arxiv.org/abs/1910.13247" target="_top">preprint</a>
<br>
<pre>
@Article{dealii2019design,
title = {The {deal.II} finite element library: Design, features, and insights},
author = {Daniel Arndt and Wolfgang Bangerth and Denis Davydov and
Timo Heister and Luca Heltai and Martin Kronbichler and
Matthias Maier and Jean-Paul Pelteret and Bruno Turcksin and
David Wells},
journal = {Computers \& Mathematics with Applications},
year = {2021},
DOI = {10.1016/j.camwa.2020.02.022},
pages = {407-422},
volume = {81},
issn = {0898-1221},
url = {https://arxiv.org/abs/1910.13247}
}
</pre>
</li>
</ol>
<p>
Older releases are announced in the following preprints:
<ul>
<li>
Daniel Arndt,
Wolfgang Bangerth,
Marco Feder,
Marc Fehling,
Rene Gassmöller,
Timo Heister,
Luca Heltai,
Martin Kronbichler,
Matthias Maier,
Peter Munch,
Jean-Paul Pelteret,
Simon Sticko,
Bruno Turcksin,
David Wells
<br />
<strong>The <abbr>deal.II</abbr> Library, Version 9.4
</strong>
<br>
Journal of Numerical Mathematics, Volume 30, No. 3, pages 231-246, 2022.
<br>
<a href="https://doi.org/10.1515/jnma-2022-0054">DOI:
10.1515/jnma-2022-0054</a>;
<a href="https://dealii.org/deal94-preprint.pdf" target="_top">preprint</a>;
<a
href="https://github.com/dealii/publication-list/blob/81e02ae5a80dde05b5a01f07696628ea2b8d3a21/publications-2022.bib#L68-L78">bibtex</a>
</li>
<li>
D. Arndt, W. Bangerth, B. Blais, M. Fehling, R. Gassmöller,
T. Heister, L. Heltai, U. Köcher, M. Kronbichler, M. Maier,
P. Munch, J.-P. Pelteret, S. Proell, K. Simon, B. Turcksin,
D. Wells, J. Zhang
<br />
<strong>The <abbr>deal.II</abbr> Library, Version 9.3
</strong>
<br>
Journal of Numerical Mathematics, Volume 29, No. 3, Pages 171-186, 2021.
<br>
<a href="https://doi.org/10.1515/jnma-2021-0081">DOI:
10.1515/jnma-2021-0081</a>;
<a href="https://dealii.org/deal93-preprint.pdf" target="_top">preprint</a>;
<a
href="https://github.com/dealii/publication-list/blob/72c4a8aee1fb46a3fba8cba463d44b0c0bd139c0/publications-2021.bib#L105-L115">bibtex</a>
</li>
<li>
D. Arndt, W. Bangerth, B. Blais,
T. C. Clevenger, M. Fehling, A. V. Grayver,
T. Heister, L. Heltai, M. Kronbichler, M. Maier,
P. Munch, J.-P. Pelteret, R. Rastak,
I. Thomas, B. Turcksin, Z. Wang, D. Wells
<br />
<strong>The <abbr>deal.II</abbr> Library, Version 9.2
</strong>
<br>
Journal of Numerical Mathematics, Volume 28, Pages 131-146, 2020.
<br>
<a href="https://doi.org/10.1515/jnma-2020-0043">DOI:
10.1515/jnma-2020-0043</a>;
<a href="https://dealii.org/deal92-preprint.pdf" target="_top">preprint</a>;
<a
href="https://github.com/dealii/publication-list/blob/9e4ccb20ab54973ee484b56ae28c6159bdd1c6cd/publications-2020.bib#L538-L553">bibtex</a>
</li>
<li>
D. Arndt, W. Bangerth, T. C. Clevenger, D. Davydov,
M. Fehling, D. Garcia-Sanchez, G. Harper, T. Heister,
L. Heltai, M. Kronbichler, R. M. Kynch, M. Maier,
J.-P. Pelteret, B. Turcksin, D. Wells
<br />
<strong>The <abbr>deal.II</abbr> Library, Version 9.1
</strong>
<br>
Journal of Numerical Mathematics, Volume 27, Issue 4, Pages 203-213, 2019.
<br>
<a href="https://doi.org/10.1515/jnma-2019-0064">DOI:
10.1515/jnma-2019-0064</a>;
<a href="https://dealii.org/deal91-preprint.pdf" target="_top">preprint</a>;
<a
href="https://github.com/dealii/publication-list/blob/7f166e339a7c82342a5acaca575e67c54ca13d1b/publications-2019.bib#L813-L823">bibtex</a>
</li>
<li>
G. Alzetta, D. Arndt, W. Bangerth, V. Boddu,
B. Brands, D. Davydov, R. Gassmoeller, T. Heister,
L. Heltai, K. Kormann, M. Kronbichler, M. Maier,
J.-P. Pelteret, B. Turcksin, D. Wells
<br />
<strong>The <abbr>deal.II</abbr> Library, Version 9.0
</strong>
<br>
Journal of Numerical Mathematics, 26(4), pp. 173-183, 2018.
<br>
<a href="https://doi.org/10.1515/jnma-2018-0054">DOI:
10.1515/jnma-2018-0054</a>;
<a href="https://dealii.org/deal90-preprint.pdf" target="_top">preprint</a>;
<a
href="https://github.com/dealii/publication-list/blob/7f166e339a7c82342a5acaca575e67c54ca13d1b/publications-2018.bib#L96-L105">bibtex</a>
</li>
<li>
D. Arndt, W. Bangerth, D. Davydov, T. Heister,
L. Heltai, M. Kronbichler, M. Maier, J.-P. Pelteret, B. Turcksin, D. Wells<br />
<strong>The <abbr>deal.II</abbr> Library, Version 8.5
</strong>
<br>
Journal of Numerical Mathematics, vol. 25,
pp. 137-146, 2017.
<br>
<a href="https://doi.org/10.1515/jnma-2017-0058">DOI:
10.1515/jnma-2017-0058</a>;
<a href="https://dealii.org/deal85-preprint.pdf" target="_top">preprint</a>
</li>
<li>
W. Bangerth, D. Davydov, T. Heister, L. Heltai, G. Kanschat, M. Kronbichler, M. Maier, B. Turcksin, D. Wells
<br>
<strong>The <abbr>deal.II</abbr> Library, Version 8.4
</strong>
<br>
Journal of Numerical Mathematics, vol. 24,
pp. 135-141, 2016.
<br>
<a href="http://dx.doi.org/10.1515/jnma-2016-1045" target="_top">DOI:
10.1515/jnma-2016-1045</a>;
<a href="https://dealii.org/deal84-preprint.pdf" target="_top">preprint</a>
<br>
</li>
<li>
W. Bangerth, T. Heister, L. Heltai, G. Kanschat, M. Kronbichler, M. Maier, B. Turcksin
<br>
<strong>The <abbr>deal.II</abbr> Library, Version 8.3
</strong>
<br>
Archive of Numerical Software, vol. 4, pp. 1-11, 2016.
<br>
<a href="http://dx.doi.org/10.11588/ans.2016.100.23122" target="_top">DOI:
10.11588/ans.2016.100.23122</a>;
<a href="https://dealii.org/deal83-preprint.pdf" target="_top">preprint</a>
<br>
</li>
<li>
W. Bangerth, T. Heister, L. Heltai, G. Kanschat, M. Kronbichler, M. Maier, T. D. Young
<br>
<strong>The <abbr>deal.II</abbr> Library, Version 8.2
</strong>
<br>
Archive of Numerical Software, vol. 3, 2015.
<br>
<a href="http://dx.doi.org/10.11588/ans.2015.100.18031" target="_top">DOI:
10.11588/ans.2015.100.18031</a>
<br>
</li>
<li>
W. Bangerth, T. Heister, L. Heltai, G. Kanschat, M. Kronbichler, M. Maier, T. D. Young <br />
<strong>The <abbr>deal.II</abbr> Library, Version 8.1
</strong>
<br>
<a href="http://arxiv.org/abs/1312.2266v4" target="_top">arxiv:1312.2266v4</a>, 2013.
<br>
</li>
<li>
W. Bangerth, T. Heister, L. Heltai, G. Kanschat, M. Kronbichler, M. Maier, T. D. Young <br />
<strong>The <abbr>deal.II</abbr> Library, Version 8.0
</strong>
<br>
<a href="http://arxiv.org/abs/1312.2266v3" target="_top">arxiv:1312.2266v3</a>, 2013.
<br>
</li>
</ul>
</div>
<div class="well" id="details">
<h2>Publications on details of <abbr>deal.II</abbr></h2>
<p>
The following publications explain in great detail the
implementation of algorithms and data structures of various
components of <abbr>deal.II</abbr>:
</p>
<ol>
<li>
M. Fehling, W. Bangerth
<br>
<strong>Algorithms for Parallel Generic <i>hp</i>-adaptive Finite Element Software</strong>
<br>
ACM Transactions on Mathematical Software, vol. 49, issue 3, article 25, pp. 1-26, 2023.
<br>
DOI: <a href="https://doi.org/10.1145/3603372">10.1145/3603372</a>
</li>
<li>
L. Heltai, W. Bangerth, M. Kronbichler, A. Mola
<br />
<strong>Propagating geometry information to finite element computations
</strong>
<br />
ACM Transactions on Mathematical Software, vol. 47, issue 4, article 32,
1-30, 2021.
<br>
DOI: <a href="https://doi.org/10.1145/3468428">10.1145/3468428</a>
</li>
<li>
T. C. Clevenger, T. Heister, G. Kanschat, M. Kronbichler
<br>
<strong>A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM</strong>
<br>
ACM Transactions on Mathematical Software, vol. 47, 1, Article 7, 2020.
<br>
DOI: <a href="https://doi.org/10.1145/3425193">10.1145/3425193</a>
</li>
<li> A. Sartori, N. Giuliani, M. Bardelloni, L. Heltai
<br>
<strong>deal2lkit: A toolkit library for high performance
programming in deal.II</strong>
<br>
SoftwareX, vol. 7, pp. 318-327, 2018.
<br>
DOI: <a href="https://doi.org/10.1016/j.softx.2018.09.004">10.1016/j.softx.2018.09.004</a>
</li>
<li>
R. Agelek, M. Anderson, W. Bangerth, W. L. Barth
<br>
<strong>On orienting edges of unstructured two- and three-dimensional meshes
</strong>
<br>
ACM Transactions on Mathematical Software, vol. 44, article 5, 2017.
<br>
DOI: <a href="https://doi.org/10.1145/3061708">10.1145/3061708</a>
</li>
<li>
D. Davydov, T. Gerasimov, J.-P. Pelteret, P. Steinmann
<br>
<strong>Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in
quantum mechanics</strong>
<br>
Advanced Modeling and Simulation in Engineering
Sciences, vol. 4, pp. 2213-7467. 2017.
<br>
DOI: <a href="https://doi.org/10.1186/s40323-017-0093-0">10.1186/s40323-017-0093-0</a>
</li>
<li>
B. Turcksin, M. Kronbichler, W. Bangerth
<br>
<strong><i>WorkStream</i> — a design pattern for multicore-enabled finite element computations
</strong>
<br>
ACM Transactions on Mathematical Software, vol. 43,
pp. 2/1-29, 2016.
<br>
DOI: <a href="https://doi.org/10.1145/2851488">10.1145/2851488</a>
</li>
<li>
M. Maier, M. Bardelloni, L. Heltai
<br>
<strong>LinearOperator — a generic, high-level
expression syntax for linear algebra</strong>
<br>
Computers and Mathematics with Applications, vol. 72, issue 1, pp. 1-24, 2016.
<br>
DOI: <a href="https://doi.org/10.1016/j.camwa.2016.04.024">10.1016/j.camwa.2016.04.024</a>
<!-- http://www.sciencedirect.com/science/article/pii/S089812211630205X -->
</li>
<li>
W. Bangerth, T. Heister
<br>
<strong>What makes computational open source software libraries successful?</strong>
<br>
Computational Science & Discovery, vol. 6, article 015010, 2013.
<br>
DOI: <a href="https://doi.org/10.1088/1749-4699/6/1/015010">10.1088/1749-4699/6/1/015010</a>
</li>
<li>
W. Bangerth,
C. Burstedde,
T. Heister,
M. Kronbichler
<br>
<strong>Algorithms and Data Structures for Massively Parallel Generic
Adaptive Finite Element Codes</strong>
<br>
ACM Transactions on Mathematical Software, vol. 38, No. 2, pp. 14/1-28, 2012.
<br>
DOI: <a href="https://doi.org/10.1145/2049673.2049678">10.1145/2049673.2049678</a>
</li>
<li>
M. Kronbichler, K. Kormann
<br>
<strong>A generic interface for parallel cell-based finite element
operator application
</strong>
<br>
Computers and Fluids, vol. 63, pp. 135-147, 2012.
<br>
DOI: <a href="https://doi.org/10.1016/j.compfluid.2012.04.012">10.1016/j.compfluid.2012.04.012</a>
</li>
<li>
B. Janssen, G. Kanschat
<br>
<strong> Adaptive Multilevel Methods with Local Smoothing for H<sup>1</sup>-
and H<sup>curl</sup>-Conforming High Order Finite Element Methods</strong>
<br>
SIAM J. Sci. Comput., vol. 33/4, pp. 2095-2114, 2011.
<br>
DOI: <a href="https://doi.org/10.1137/090778523">10.1137/090778523</a>
</li>
<li>
W. Bangerth, O. Kayser-Herold
<br>
<strong>Data Structures and Requirements for <i>hp</i> Finite Element
Software
</strong>
<br>
ACM Transactions on Mathematical Software, vol. 36, pp. 4/1-31, 2009.
<br>
DOI: <a href="https://doi.org/10.1145/1486525.1486529">10.1145/1486525.1486529</a>
</li>
<li>
G. Kanschat
<br>
<strong>Multilevel methods for discontinuous Galerkin FEM on locally refined meshes</strong>
<br>
Comput. & Struct., vol. 82, pp. 2437-2445, 2004.
<br>
DOI: <a href="https://doi.org/10.1016/j.compstruc.2004.04.015">10.1016/j.compstruc.2004.04.015</a>
</li>
</ol>
<p> For massively parallel
computations, <abbr>deal.II</abbr> builds on the
<a href="http://www.p4est.org/" target="_top">p4est</a>
library. If you use this functionality, please also cite the
p4est paper listed at their website.
</p>
<p>
<abbr>deal.II</abbr> is a component of the
<a href="http://www.spec.org/cpu2006/">SPEC CPU2006</a> and
<a href="http://www.spec.org/cpu2017/">SPEC CPU2017</a>
benchmark
suites. There are hundreds of papers that use and describe this
testsuite as a reference for compiler and hardware
optimizations. The following special issue gives a detailed
comparison with respect to many different metrics of the
benchmarks in SPEC CPU2006, including <abbr>deal.II</abbr>:
<ul>
<li>
<strong>Special Issue: SPEC CPU2006 analysis (Editor: John Henning)
</strong>
<br>
ACM SIGARCH Computer Architecture News, vol. 35, issue 1, 2007.
</li>
</ul>
</div>
</div>