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publications.include
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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>
Pasquale Claudio Africa,
Daniel Arndt,
Wolfgang Bangerth,
Bruno Blais,
Marc Fehling,
Rene Gassmöller,
Timo Heister,
Luca Heltai,
Martin Kronbichler,
Matthias Maier,
Peter Munch,
Magdalena Schreter-Fleischhacker,
Jan Philipp Thiele,
Bruno Turcksin,
David Wells,
Vladimir Yushutin
<br />
<strong>The <abbr>deal.II</abbr> Library, Version 9.6
</strong>
<br>
Journal of Numerical Mathematics, accepted, 2024.
<br>
<!-- UPDATE: <a href="https://doi.org/10.1515/jnma-2023-0089">DOI: 10.1515/jnma-2023-0089</a>; -->
<a href="https://dealii.org/deal96-preprint.pdf" target="_top">preprint</a>
<br>
<!-- UPDATE ALL OF THE XXX:
<pre>
@Article{dealII96,
title = {The \texttt{deal.II} Library, Version 9.6},
author = {Pasquale Claudio Africa and Daniel Arndt and Wolfgang
Bangerth and Bruno Blais and Marc Fehling and Rene
Gassm{\"o}ller and Timo Heister and Luca Heltai and Martin
Kronbichler and Matthias Maier and Peter Munch and Magdalena
Schreter-Fleischhacker and Jan Philipp Thiele and Bruno Turcksin
and David Wells and Vladimir Yushutin},
journal = {Journal of Numerical Mathematics},
year = {2024},
doi = {XXX},
pages = {XXX},
volume = {XXX},
number = {XXX},
url = {https://dealii.org/deal96-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,
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>
<a
href="https://github.com/dealii/publication-list/blob/master/publications-2023.bib#L160-L173">bibtex</a>
<br>
</li>
<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>