Please use the following citation to reference libMesh

B. Kirk, J. W. Peterson, R. H. Stogner, and G. F. Carey, libMesh: A C++ Library for Parallel Adaptive Mesh Refinement/Coarsening Simulations. Engineering with Computers, vol. 22, no. 3--4, pp. 237--254, 2006. (preprint)

@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}}
}

Dissertations and Theses

Roy H. Stogner, Parallel Adaptive C1 Macro-Elements for Nonlinear Thin Film and Non-Newtonian Flow Problems. PhD Dissertation, The University of Texas at Austin, August 2008.

John W. Peterson, Parallel Adaptive Finite Element Methods for Problems in Natural Convection. PhD Dissertation, The University of Texas at Austin, May 2008.

Benjamin S. Kirk, Adaptive Finite Element Simulation of Flow and Transport Applications on Parallel Computers. PhD Dissertation, The University of Texas at Austin, May 2007.

John W. Peterson, A Numerical Investigation of Benard Convection in Small Aspect Ratio Containers. Masters Report, The University of Texas at Austin, August 2004.

Publications utilizing libMesh

B. S. Kirk. Multidimensional Assessment of Modeling Error in Typical High-Speed Wind-Tunnel Heat-Transfer Data-Reduction Schemes. AIAA Journal of Thermophysics and Heat Transfer, 23(1):186-191, January 2009.

@Article{Kirk_2009,
   author = {B.~S.~Kirk},
    title = {{Multidimensional Assessment of Modeling Error in Typical
              High-Speed Wind-Tunnel Heat-Transfer Data-Reduction Schemes}},
  journal = {AIAA Journal of Thermophysics and Heat Transfer},
     year = 2009,
    month = jan,
   volume = 23,
   number = 1,
    pages = {186--191}
}

Benjamin S. Kirk and Graham F. Carey. A parallel, adaptive finite element scheme for modeling chemotactic biological systems. Communications in Numerical Methods in Engineering, 2008. http://dx.doi.org/10.1002/cnm.1173.

@Article{Kirk_2008b,
   author = {Benjamin S. Kirk and Graham F. Carey},
    title = {{A parallel, adaptive finite element scheme for
              modeling chemotactic biological systems}},
  journal = {Communications in Numerical Methods in Engineering},
     year = 2008,
     note = {\url{http://dx.doi.org/10.1002/cnm.1173}}
}

Benjamin S. Kirk and Graham F. Carey. Development and validation of a SUPG finite element scheme for the compressible Navier-Stokes equations using a modified inviscid flux discretization. International Journal for Numerical Methods in Fluids, 57(3):265-293, 2008. http://dx.doi.org/10.1002/fld.1635.

@Article{Kirk_2008,
   author = {Benjamin S. Kirk and Graham F. Carey},
    title = {{Development and validation of a SUPG finite element scheme for the compressible
              Navier-Stokes equations using a modified inviscid flux discretization}},
  journal = {International Journal for Numerical Methods in Fluids},
     year = 2008,
   volume = 57,
   number = 3,
    pages = {265--293},
     note = {\url{http://dx.doi.org/10.1002/fld.1635}}
}

J. W. Peterson, G. F. Carey, D. J. Knezevic, and B. T. Murray. Adaptive finite element methodology for tumor angiogenesis modeling. Int. J. Numer. Meth. Eng., 69(6):1212-1238, 2007. http://dx.doi.org/10.1002/nme.1802.

@Article{Peterson_2007,
   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}}
}

R. H. Stogner and G. F. Carey. C¹ macroelements in adaptive finite element methods. Int. J. Numerical Methods in Engineering, 70(9):1076-1095, May 2007.

@Article{Stogner_2007,
   author = {R.~H.~Stogner and G.~F.~Carey},
    title = {{$C^1$} macroelements in adaptive finite element methods},
  journal = {Int. J. Numerical Methods in Engineering},
   volume = 70,
   number = 9,
    pages = "1076--1095",
    month = {May},
     year = 2007
}

D. Dreyer, S. Petersen, and O. von Estorff. Effectiveness and robustness of improved infinite elements for exterior acoustics. Computer Methods in Applied Mechanics and Engineering, 195(29-32):3591-3607, 2006. http://dx.doi.org/10.1016/j.cma.2005.01.019.

@Article{Dreyer_2006,
   author = "D. Dreyer and S. Petersen and O. von Estorff",
    title = "Effectiveness and robustness of improved infinite elements for exterior acoustics",
  journal = "Computer Methods in Applied Mechanics and Engineering",
   volume = "195",
   number = "29--32",
    pages = "3591--3607",
     year = "2006",
     issn = "0045-7825",
     note = {\url{"http://dx.doi.org/10.1016/j.cma.2005.01.019"}}
}

Petersen S, Dreyer D, and O. von Estorff, Assessment of finite and spectral element shape functions for efficient iterative simulations of interior acoustics. CMAME Volume 195, Issues 44-47, Pages 6463-6478, 2006.

@Article{Petersen_2006,
    author = {Petersen, S. and Dreyer, D. and {von Estorff}, O.},
    title  = {Assessment of finite and spectral element shape functions
              for efficient iterative simulations of interior acoustics},
   journal = {Computer Methods in Applied Mechanics and Engineering},
      year = {2006},
    volume = {195},
    number = {44--47},
     pages = {6463--6478}
}

G. F. Carey, W. Barth, B. Kirk, and J. W. Peterson. Parallel CFD for Flow and Transport Applications Including Unstructured and Adaptive Grids. In Proceedings of Parallel CFD 2004: Multidisciplinary Applications, G. Winter, A. Ecer, J. Periaux, N. Satofuka and P. Fox (Eds), Amsterdam, The Netherlands, October 2005. Elsevier Science B.V. ISBN: 0444520244.

@InProceedings{Carey_2005,
     author = {G.~F.~Carey and W.~Barth and B.~Kirk and J.~W.~Peterson},
      title = {{Parallel CFD for Flow and Transport Applications
                Including Unstructured and Adaptive Grids}},
  booktitle = {Proceedings of Parallel CFD 2004:  Multidisciplinary Applications, G.~Winter,
               A.~Ecer, J.~Periaux, N.~Satofuka and P.~Fox (Eds)},
  publisher = {Elsevier Science B.V.},
    address = {Amsterdam, The Netherlands},
      month = {Oct},
       year = {2005},
       note = {ISBN: 0444520244}
}

G. F. Carey, M. Anderson, B. Carnes, and B. Kirk. Some aspects of adaptive grid technology related to boundary and interior layers. J. Comput. Appl. Math., 166(1):55-86, 2004. http://dx.doi.org/10.1016/j.cam.2003.09.036.

@Article{Carey_2004a,
    author = {G.~F. Carey and M. Anderson and B. Carnes and B. Kirk},
     title = {Some aspects of adaptive grid technology related to boundary and interior layers},
   journal = {J. Comput. Appl. Math.},
    volume = {166},
    number = {1},
      year = {2004},
      issn = {0377-0427},
     pages = {55--86},
      note = {\url{http://dx.doi.org/10.1016/j.cam.2003.09.036}}
}

Graham F. Carey, William Barth, Juliette A. Woods, Ben Kirk, Michael L. Anderson, Sum Chow, and Wolfgang Bangerth. Modeling error and constitutive relations in simulation of flow and transport. Int. J. Numerical Methods in Fluid, 46(12):1211-1236, 2004.

@Article{Carey_2004,
  author  = {Graham F. Carey and William Barth and Juliette A. Woods
             and Ben Kirk and Michael L. Anderson and Sum Chow 
             and Wolfgang Bangerth},
  title   = {Modeling error and constitutive relations in simulation
             of flow and transport},
  journal = {Int. J. Numerical Methods in Fluid},
  year    = {2004},
  volume  = {46},
  number  = {12},
  pages   = {1211--1236}
}

J. J. Marichalar, W. C. Rochelle, B. S. Kirk, and C. H. Campbell. Boundary Layer/Streamline Surface Catalytic Heating Predictions on Space Shuttle Orbiter. Journal of Spacecraft and Rockets, 43(6):1202-1215, 2006.

@Article{Marichalar_2006,
   author = {J.~J.~Marichalar and W.~C.~Rochelle and B.~S.~Kirk and C.~H.~Campbell},
    title = {{Boundary Layer/Streamline Surface Catalytic Heating Predictions on Space Shuttle Orbiter}},
  journal = {Journal of Spacecraft and Rockets},
     year = 2006,
   volume = 43,
   number = 6,
    pages = {1202--1215}
}

M. Schindler, P. Talkner, and P. Hänggi. Computing stationary free-surface shapes in microfluidics. Physics of Fluids, 18(10):103303, October 2006. http://dx.doi.org/10.1063/1.2361291.

@Article{Schindler_2006,
   author = {{Schindler}, M. and {Talkner}, P. and {H{\"a}nggi}, P.},
    title = "{Computing stationary free-surface shapes in microfluidics}",
  journal = {Physics of Fluids},
   eprint = {arXiv:physics/0511217},
     year = 2006,
    month = oct,
   volume = 18,
   number = 10,
    pages = {103303},
     note = {\url{http://dx.doi.org/10.1063/1.2361291}}
}

Paul Simedrea, Luca Antiga, and David A. Steinman, Towards a New Framework for Simulating Magnetic Resonance Imaging. First Canadian Student Conference on Biomedical Computing (CSCBC), 2005

Jose Camata, Alvaro Coutinho, and Graham Carey, Numerical Evaluation of the LCD Method Implemented in the libMesh Library. CILAMCE 2005.

M. Anderson and J.-H. Kimn. A numerical approach to space-time finite elements for the wave equation. Journal of Computational Physics, 226:466-476, September 2007. http://dx.doi.org/10.1016/j.jcp.2007.04.021.

@Article{Anderson_2007,
   author = {{Anderson}, M. and {Kimn}, {J.-H.}},
    title = "{A numerical approach to space-time finite elements for the wave equation}",
  journal = {Journal of Computational Physics},
   eprint = {arXiv:gr-qc/0601099},
     year = 2007,
    month = sep,
   volume = 226,
    pages = {466--476},
     note = {\url{http://dx.doi.org/10.1016/j.jcp.2007.04.021}}
}

S. Berrone and E. Süli. Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows. IMA Journal of Numerical Analysis, 28(2):382-421, 2008. http://dx.doi.org/10.1093/imanum/drm017.

@Article{Berrone_2008,
   author = {S.~Berrone and E.~S\"{u}li},
    title = {{Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows}},
  journal = {IMA Journal of Numerical Analysis},
     year = 2008,
   volume = 28,
   number = 2,
    pages = {382--421},
     note = {\url{http://dx.doi.org/10.1093/imanum/drm017}}
}

M.P. Lüthi, A Full Ice Stream Model for Jakobshavn Isbrae. Geophysical Research Abstracts, Vol 9., 2007.

M. Auf der Maur, M. Povolotskyi, F. Sacconi, and A. di Carlo. TIBERCAD: A new multiscale simulator for electronic and optoelectronic devices. Superlattices and Microstructures, 41:381-385, May 2007. http://dx.doi.org/10.1016/j.spmi.2007.03.011.

@Article{AufderMaur_2007,
   author = {{Auf der Maur}, M. and {Povolotskyi}, M. and {Sacconi}, F. and {di Carlo}, A.},
    title = "{TIBERCAD: A new multiscale simulator for electronic and optoelectronic devices}",
  journal = {Superlattices and Microstructures},
     year = 2007,
    month = may,
   volume = 41,
    pages = {381--385},
     note = {\url{http://dx.doi.org/10.1016/j.spmi.2007.03.011}}
}

Fabio Galbusera, Margherita Cioffi, and Manuela T. Raimondi. An in silico bioreactor for simulating laboratory experiments in tissue engineering. Biomedical Microdevices, 10(4):547-554, August 2008.

@Article{Galbusera_2008,
   author = {Fabio Galbusera and Margherita Cioffi and Manuela T. Raimondi},
    title = {{An in silico bioreactor for simulating laboratory experiments in tissue engineering}},
  journal = {Biomedical Microdevices},
     year = 2008,
   volume = 10,
   number = 4,
    month = aug,
    pages = {547--554}
}

H. T. Ahn, M. Shashkov, and M. A. Christon. The moment-of-fluid method in action. Communications in Numerical Methods in Engineering, 25(10):1009-1018, July 2008.

@Article{Ahn_2008,
   author = {{Ahn}, H.~T. and {Shashkov}, M. and M.~A.~Christon},
    title = "{The moment-of-fluid method in action}",
  journal = {Communications in Numerical Methods in Engineering},
     year = 2008,
    month = jul,
   volume = {25},
   number = {10},
    pages = {1009--1018}
}

Marina Piccinelli, Lorenzo Botti, Bogdan Ene-Iordache, Andrea Remuzzi, Alessandro Veneziani, and Luca Antiga. Link between vortex structures and voronoi diagram in cerebral aneurysms. Journal of Biomechanics, 41, Supplement 1:S12, July 2008.

@Article{Piccinelli_2008,
   author = {Marina Piccinelli and Lorenzo Botti and Bogdan Ene-Iordache
             and Andrea Remuzzi and Alessandro Veneziani and Luca Antiga},
    title = {{Link between vortex structures and voronoi diagram in cerebral aneurysms}},
  journal = {Journal of Biomechanics},
     year = 2008,
    month = jul,
   volume = {41, Supplement 1},
    pages = {S12}
}

M. Brinkmeier, U. Nackenhorst, S. Petersen, and O. von Estorff. A numerical model for the simulation of tire rolling noise. Journal of Sound and Vibration, 309(1-2):20-39, January 2008. http://dx.doi.org/10.1016/j.jsv.2006.11.040.

@Article{Brinkmeier_2008,
    author = {Brinkmeier, M. and Nackenhorst, U. and Petersen, S. and {von Estorff}, O.},
     title = {A Numerical Model for the Simulation of Tire Rolling Noise},
   journal = {Journal of Sound and Vibration},
      year = {2008},
     month = jan,
    volume = {309},
    number = {1--2},
     pages = {20--39},
      note = {\url{http://dx.doi.org/10.1016/j.jsv.2006.11.040}}
}

Tim Kröger and Tobias Preusser. Stability of the 8-tetrahedra shortest-interior-edge partitioning method. Numerische Mathematik, 109(3):435-457, May 2008. http://dx.doi.org/10.1007/s00211-008-0148-8.

@Article{Kroger_2008,
   author = {Tim Kr\"{o}ger and Tobias Preusser},
    title = {{Stability of the 8-tetrahedra shortest-interior-edge partitioning method}},
  journal = {Numerische Mathematik},
     year = 2008,
    month = may,
   volume = 109,
   number = 3,
    pages = {435--457},
     note = {\url{http://dx.doi.org/10.1007/s00211-008-0148-8}}
}

Koen Van Canneyt, Radoslav Kaminsky, Lorenzo Botti, Luca Antiga, Jan Tordoir, Pascal Verdonck, and Sunny Eloot. Can a kinked arterio-venous graft cause instable flow? a patient-specific validated computational study. Journal of Biomechanics, 41(Supplement 1):S210, July 2008. http://dx.doi.org/10.1016/S0021-9290(08)70210-0.

@Article{VanCanneyt_2008,
   author = "Koen Van Canneyt and Radoslav Kaminsky and Lorenzo Botti and
             Luca Antiga and Jan Tordoir and Pascal Verdonck and Sunny Eloot",
    title = "CAN A KINKED ARTERIO-VENOUS GRAFT CAUSE INSTABLE FLOW?
             A PATIENT-SPECIFIC VALIDATED COMPUTATIONAL STUDY",
  journal = "Journal of Biomechanics",
   volume = "41",
   number = "Supplement 1",
    pages = "S210",
     year = "2008",
    month = jul,
     note = "Abstracts of the 16th Congress, European Society of Biomechanics",
     issn = "0021-9290",
     note = {\url{http://dx.doi.org/10.1016/S0021-9290(08)70210-0}}
}

Lorenzo Botti, Marina Piccinelli, Bogdan Ene-Iordache, Andrea Remuzzi, and Luca Antiga. An open source parallel AMR FE solver for biological flows based on the LibMesh C++ library. Journal of Biomechanics, 41(Supplement 1):S211, July 2008. http://dx.doi.org/10.1016/S0021-9290(08)70211-2.

@Article{Botti_2008,
   author = "Lorenzo Botti and Marina Piccinelli and Bogdan Ene-Iordache and Andrea Remuzzi and Luca Antiga",
    title = "AN OPEN SOURCE PARALLEL {AMR} {FE} SOLVER FOR BIOLOGICAL FLOWS BASED ON THE {LibMesh C++} LIBRARY",
  journal = "Journal of Biomechanics",
   volume = "41",
   number = "Supplement 1",
    pages = "S211",
     year = "2008",
    month = jul,
     note = "Abstracts of the 16th Congress, European Society of Biomechanics",
     issn = "0021-9290",
     note = {\url{http://dx.doi.org/10.1016/S0021-9290(08)70211-2}}
}

Jan Biermann, Otto von Estorff, Steffen Petersen, and Christina Wenterodt. Higher order finite and infinite elements for the solution of Helmholtz problems. Computer Methods in Applied Mechanics and Engineering, 198(13-14):1171-1188, 2009. http://dx.doi.org/10.1016/j.cma.2008.11.009.

@Article{Biermann_2009,
   author = "Jan Biermann and Otto von Estorff and Steffen Petersen and Christina Wenterodt",
    title = {{Higher order finite and infinite elements for the solution of Helmholtz problems}},
  journal = "Computer Methods in Applied Mechanics and Engineering",
   volume = "198",
   number = "13--14",
    pages = "1171--1188",
     year = "2009",
     note = "HOFEM07 - International Workshop on High-Order Finite Element Methods, 2007",
     issn = "0045-7825",
     note = {\url{http://dx.doi.org/10.1016/j.cma.2008.11.009}}
}

Matthew F. Barone, Irina Kalashnikova, Daniel J. Segalman, and Heidi K. Thornquist. Stable Galerkin reduced order models for linearized compressible flow. Journal of Computational Physics, 228(6):1932-1946, April 2009. http://dx.doi.org/10.1016/j.jcp.2008.11.015.

@Article{Barone_2009,
   author = "Matthew F. Barone and Irina Kalashnikova and Daniel J. Segalman and Heidi K. Thornquist",
    title = {{Stable Galerkin reduced order models for linearized compressible flow}},
  journal = "Journal of Computational Physics",
   volume = "228",
   number = "6",
    pages = "1932--1946",
     year = "2009",
    month = apr,
     issn = "0021-9991",
     note = {\url{http://dx.doi.org/10.1016/j.jcp.2008.11.015}}
}

A. M. P. Valli, R. N. Elias, G. F. Carey, and A. L. G. A. Coutinho. PID adaptive control of incremental and arclength continuation in nonlinear applications. International Journal for Numerical Methods in Fluids, Early View, 2009. http://dx.doi.org/10.1002/fld.1998.

@Article{Valli_2009,
   author = {A. M. P. Valli and R. N. Elias and G. F. Carey and A. L. G. A. Coutinho},
    title = {{PID adaptive control of incremental and arclength continuation in nonlinear applications}},
  journal = {International Journal for Numerical Methods in Fluids},
     year = 2009,
   volume = {Early View},
    note  = {\url{http://dx.doi.org/10.1002/fld.1998}}
}

A. C. Powell, IV and R. Arroyave. Open source software for materials and process modeling. Journal of the Minerals, Metals and Materials Society, 60(5):32-39, May 2008. http://dx.doi.org/10.1007/s11837-008-0057-4.

@Article{Powell_2008,
   author = {{Powell}, IV, A.~C. and {Arroyave}, R.},
    title = "{Open source software for materials and process modeling}",
  journal = {Journal of the Minerals, Metals and Materials Society},
     year = 2008,
    month = may,
   volume = 60,
   number = 5,
    pages = {32--39},
     note = {\url{http://dx.doi.org/10.1007/s11837-008-0057-4}}
}

Miscellaneous

A general HOWTO document by M. Luthi containing some hints and programming tips for writing effective libMesh programs.
A description of the XDA file format used by libMesh.
Texas Advanced Computing Center press release commemorating the launch of the Lonestar cluster.
A description of the Newmark System class by Ondrej Certik.