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<?php $root=""; ?><?php require($root."navigation.php"); ?><html><head>  <title>libMesh Publications</title>  <?php load_style($root); ?></head><body><?php make_navigation("publications",$root)?><div class="content"><h1>Please use the following citation to reference libMesh</h1><ul><li>  B. Kirk, J. W. Peterson, R. H. Stogner, and G. F. Carey,<code>libMesh</code><i>: A  C++ Library for Parallel Adaptive Mesh Refinement/Coarsening Simulations.</i><a href="http://dx.doi.org/10.1007/s00366-006-0049-3">Engineering with Computers</a>,vol. 22, no. 3--4, pp. 237--254, 2006. 	 (<a href="http://cfdlab.ae.utexas.edu/~benkirk/libmesh-ewc-preprint.pdf">preprint</a>)<pre>@Article{libMeshPaper,  author = {B.~Kirk and J.~W.~Peterson and R.~H.~Stogner and G.~F.~Carey},  title = {{\texttt{libMesh}: A C++ Library for Parallel Adaptive Mesh           Refinement/Coarsening Simulations}},  journal = {Engineering with Computers},  volume = {22},  number = {3--4},  pages = {237--254},  year = {2006},  note = {\url{http://dx.doi.org/10.1007/s00366-006-0049-3}}}</pre>  </li></ul><br><h1>Publications by libMesh Developers</h1><ul><li> John W. Peterson, <i>Parallel Adaptive Finite Element Methods for Problems in Natural Convection.</i><a href="http://www.cfdlab.ae.utexas.edu/~peterson/diss.pdf">PhD Dissertation</a>, The University of Texas at Austin, May 2008. </li><br><li> Benjamin S. Kirk, <i>Adaptive Finite Element Simulation of Flow and Transport Applications on Parallel Computers.</i><a href="http://www.cfdlab.ae.utexas.edu/~benkirk/dissertation.pdf">PhD Dissertation</a>, The University of Texas at Austin, May 2007. </li><br><li>  Benjamin S. Kirk, Graham F. Carey,   <i>A Parallel, Adaptive Finite Element Scheme for Modeling Chemotactic Biological Systems</i>, submitted. (<a href="http://cfdlab.ae.utexas.edu/~benkirk/2008_chemotaxis_CNME.pdf">preprint</a>)</li><br><li>  Benjamin S. Kirk, Graham F. Carey,   <i>Development and Validation of a SUPG Finite Element Scheme for the Compressible Navier-Stokes Equations using a Modified Inviscid Flux Discretization.</i> <a href="http://dx.doi.org/10.1002/fld.1635">IJNMF</a>, vol. 57, no. 3, pp 265--293, May 2008. (<a href="http://cfdlab.ae.utexas.edu/~benkirk/2007_fins_IJNMF.pdf">preprint</a>)</li><br><li>J.W. Peterson, G.F. Carey, D.J. Knezevic, and B.T. Murray, <i>Adaptive  finite element methodology for tumor angiogenesis modeling.</i>  <a href="http://dx.doi.org/10.1002/nme.1802">  IJNME</a>, vol. 69, no. 6, pp. 1212--1238, 2007.<pre>@Article{Tumor,  author = {J.~W.~Peterson and G.~F.~Carey and D.~J.~Knezevic and B.~T.~Murray},  title = {{Adaptive finite element methodology for tumor angiogenesis modeling}},  journal = {Int.~J.~Numer.~Meth.~Eng.},  volume = {69},  number  = {6},  pages = {1212--1238},  year = {2007},  note = {\url{http://dx.doi.org/10.1002/nme.1802}}}</pre></li><br><li>R. H. Stogner and G. F. Carey,<i>C<sup>1</sup> macroelements in adaptive finite element methods.</i><a href="http://doi.wiley.com/10.1002/nme.1912">IJNME</a> vol 70, issue 9, Pages 1076 - 1095, 2006.</li><br><li>Dreyer D, Petersen S, and O. von Estorff,<i> Effectiveness and robustness ofimproved infinite elements for exterior acoustics.</i><a href="http://dx.doi.org/10.1016/j.cma.2005.01.019">CMAME</a> 195(29-32):3591--3607, 2006.</li><br><li>Petersen S, Dreyer D, and O. von Estorff,<i>Assessment of finite and spectralelement shape functions for efficient iterative simulations of interioracoustics.</i><a href="http://dx.doi.org/10.1016/j.cma.2006.01.008">CMAME</a>Volume 195, Issues 44-47, Pages 6463-6478, 2006.</li><br><li>G. F. Carey, W. Barth, B. Kirk, and J. W. Peterson,<i>Parallel CFD for Flow and Transport Applications Including Unstructured and Adaptive Grids.</i>  In <a href="http://ceani.ulpgc.es/pcfd04/">  Proceedings of Parallel CFD 2004: Multidisciplinary Applications</a>,  G. Winter, A. Ecer, J. Periaux, N. Satofuka and P. Fox (Eds), (Amsterdam,  The Netherlands), Elsevier Science B.V., Oct 2005. ISBN: 0444520244.</li><br><li>Carey GF, Anderson M, Carnes B, and Kirk B, <i>Some aspects of adaptive grid  technology related to boundary and interior layers.</i>  <a href="http://dx.doi.org/10.1016/j.cam.2003.09.036"> J. Comput. Appl. Math.</a>    166(1):55--86, ISSN 0377-0427, 2004.</li><br><li> John W. Peterson,<i>A Numerical Investigation of Benard Convection in Small Aspect Ratio Containers.</i><a href="http://www.cfdlab.ae.utexas.edu/~peterson/masters.pdf">Masters Report</a>, The University of Texas at Austin, August 2004. </li>        </ul><h1>Publications and Preprints Using libMesh</h1><ul><li>Graham F. Carey, William Barth, Juliette A. Woods, Benjamin S. Kirk, Michael L. Anderson,Sum Chow, and Wolfgang Bangerth, <i>Modelling error and constitutive relations in simulation of flow and transport.</i><a href="http://dx.doi.org/10.1002/fld.797">IJNMF</a> Volume 46, Issue 12, Pages 1211 - 1236, 2004.</li><br><li>Jeremiah J. Marichalar, William C. Rochelle, Benjamin S. Kirk, and Charles H. Campbell, <i>Boundary Layer/Streamline Surface Catalytic Heating Predictions on Space Shuttle Orbiter.</i><a href="http://www.aiaa.org/content.cfm?pageid=322&lupubid=25&sItem=6">Journal of Spacecraft and Rockets</a>, Volume 43,  Number 6, Pages 1202--1215, 2006.</li><br><li>Michael Schindler, Peter Talkner, and Peter H鋘ggi,<i>Computing stationary free-surface shapes in microfluidics.</i><a href="http://link.aip.org/link/?PHFLE6/18/103303/1">Physics of Fluids</a>, Volume 18, 2006.</li><br><li>Paul Simedrea, Luca Antiga, and David A. Steinman,<i>Towards a New Framework for Simulating Magnetic Resonance Imaging.</i><a href="http://cscbc2006.cs.queensu.ca/assets/documents/Papers/paper108.pdf">First Canadian Student Conference on Biomedical Computing (CSCBC)</a>, 2005</li><br><li>Jose Camata, Alvaro Coutinho, and Graham Carey,<i>Numerical Evaluation of the LCD Method Implemented in the libMesh Library.</i><a href="http://www.inf.ufes.br/~avalli/papers/2005/CIL-0692.pdf.gz">CILAMCE</a> 2005.</li><br><li>Matthew Anderson and Jung-Han Kimn,<i>A Numerical Approach to Space-Time Finite Elements for the Wave Equation.</i><a href="http://arxiv.org/pdf/gr-qc/0601099">arXiv.org</a>, 2006.</li><br><li>Stefano Berrone and Endre Suliz,<i>Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows.</i>Dipartimento di Matematica Politecnico di Torino, <a href="http://calvino.polito.it/ricerca/2006/2006.html">calvino.polito.it/ricerca</a>, 2006. </li><br><li>M.P. Luthi,<i>A Full Ice Stream Model for Jakobshavn Isbrae.</i><a href="http://www.cosis.net/abstracts/EGU2007/02503/EGU2007-J-02503.pdf?PHPSESSID=f00857a95461bcae8e598e9edf0f1ba8">Geophysical Research Abstracts</a>, Vol 9., 2007.</li><br><li>M. Auf der Maur, M. Povolotskyi, F. Sacconia and A. Di Carlo,<i>TiberCAD: A new multiscale simulator for electronic and optoelectronic devices</i>. <a href="http://dx.doi.org/doi:10.1016/j.spmi.2007.03.011">Superlattices and Microstructures</a>, Volume 41, Issues 5-6, May-June 2007, Pages 381-385.</li><br><li>Fabio Galbusera, Margherita Cioffi, and Manuela T. Raimondi, <i>An in silico bioreactor for simulating laboratory experiments in tissue engineering</i>. <a href="http://dx.doi.org/10.1007/s10544-008-9164-9">Biomedical Microdevices</a>, Volume 10, Number 4, Pages 547-554, August, 2008.	</li><br><li>Hyung Taek Ahn, Mikhail Shashkov, Mark A. Christon, <i>The moment-of-fluid method in action</i>. <a href="http://dx.doi.org/10.1002/cnm.1135">Communications in Numerical Methods in Engineering</a> July 2008.</Li></ul><h1>Miscellaneous</h1><ul><li>  A general <a href="howto/howto.pdf">HOWTO</a> document by M. Luthi containing some hintsand programming tips for writing effective libMesh programs. </li><li>  A <a href="xda_format/xda_format.pdf">description</a> of the XDA file format used by libMesh. </li><li> Texas Advanced Computing Center <a href="http://www.tacc.utexas.edu/general/news/archive/20040112_01.php">press release</a> commemorating the launch of the Lonestar cluster. </li><li>A <a href="http://ondrej.certik.cz/libmesh/fem.ps">description</a> of the Newmark System class by Ondrej Certik.</li></ul></div><br><br><!--<div id="navBeta"></div>--><?php make_footer() ?></body></html><?php if (0) { ?># Local Variables:# mode: html# End:<?php } ?>

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