%Quadrature free 
%============================================================================
@INPROCEEDINGS{QF_lock,
AUTHOR = {David P. Lockard and Harold L. Atkins },
TITLE = {Efficient Implementations of the Quadrature-free Discontinuous {G}alerkin Method},
YEAR = {1999},
BOOKTITLE =  {14th {AIAA} Computational Fluid Dynamics Conference},
address = {Norfolk, Virginia},
note = {{AIAA} 99-3309 08-34},
month = {June 28-July 1}
}

@ARTICLE{QF_atk,
AUTHOR = {Harold L. Atkins and  Chi Wang Shu },
TITLE = {Quadrature-Free Implementation of Discontinuous {G}alerkin Method for Hyperbolic Equations},
YEAR = {1998},
JOURNAL = {{AIAA} Journal},
volume = {36},
pages = {775-782}
}
@INPROCEEDINGS{QF_blom,
AUTHOR = {C. P. A. Blom and  R. Hagmeijer and  A. Biesheuvel  and H. W. M. Hoeijmakers },
TITLE = {Three-dimensional quadrature-free discontinuous {G}alerkin method for computational aeroacoustics },
note = {{AIAA}-2001-2198},
YEAR = {2001},
BOOKTITLE = {{AIAA/CEAS} Aeroacoustics Conference and Exhibit},
address = {Maastricht, Netherlands},
month = {May 28-30},
}

@INPROCEEDINGS{QF_rao,
AUTHOR = {P. Rao and P. Morris},
TITLE = {Application of a Generalized Quadrature Free Discontinuous {G}alerkin Method in Aeroacoustics },
YEAR = {2003}, 
BOOKTITLE = {9th {AIAA/CEAS} Aeroacoustics Conference and Exhibit},
address = {Hilton Head, South Carolina},
month = {May 12-14},
note = {{AIAA}-2003-3120}
}



%U of I references
%============================================================================
%others
%======================================

@ARTICLE{sobhh,
AUTHOR = {N. Sobh and J. Huang and L. Yin and R. B. Haber and and D. A. Tortorelli},
TITLE = {A discontinuous {G}alerkin model for precipitate nucleation and growth in aluminum alloy quench processes},
YEAR = {2000},
JOURNAL = {International Journal of Numerical Methods in Engineering},
volume = {47},
pages = {747-767}
}
 

% elastodynamics
%======================================
@INCOLLECTION{ASHTY,
AUTHOR = {L. Yin and A. Acharia and  N. Sobh and Robert B. Haber and D. A. Tortorelli},
TITLE = {A Spacetime discontinuous {G}alerkin method for elastodynamics analysis}, 
BOOKTITLE = { Discontinuous {G}alerkin Methods: Theory, Computation and Applications, B. Cockburn and  G. Karriadakis and C.W. Shu(eds)},

PAGES= {459-464},
PUBLISHER = {Springer Verlag},
YEAR = {2000}
}


@PHDTHESIS{Yin:thesis,
AUTHOR = {L. Yin},
TITLE = {A New Spacetime Discontinuous {G}alerkin Finite Element Method for 
Elastodynamics Analysis},
SCHOOL = {Department  of Theoretical \& Applied Mechanics,University of Illinois},
YEAR = {2002}
}

@PHDTHESIS{Petracovici:thesis,
AUTHOR = {Petracovici, Boris},
TITLE = {Analysis of a Spacetime Discontinuous {G}alerkin Method for Elastodynamics},
SCHOOL = {Department of Mathematics, University of Illinois},
YEAR = {2004}
}


@ARTICLE{borisp,
AUTHOR = {Boris Petracovici and  Robert B. Haber},
TITLE = {Analysis of a discontinuous Finite Element Method},
YEAR = {2004},
JOURNAL = {SIAM Journal on scientific computing}
}



@ARTICLE{reza,
AUTHOR = {Abedi, Reza and Haber, Robert B. and Petracovici, Boris},
TITLE = {A Spacetime Discontinuous
{G}alerkin Method for Linearized Elastodynamics with Element--Wise
Momentum Balance},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering },
YEAR = {2004},
}



% conservation laws
%======================================
@ARTICLE{PNJ,
AUTHOR = {J. Palaniappan and Robert B. Haber and R. L. Jerrard},
TITLE = {A spacetime discontinuous
{G}alerkin Method for scalar conservation laws},
JOURNAL = { Computer Methods in Applied Mechanics and Engineering},
year = {2004},
volume = {193},
pages = {3607-3631}
}


@UNPUBLISHED{JR,
AUTHOR = {K. Jegdic and R. L. Jerrard},
TITLE = {Convergence of a spacetime discontinuous
{G}alerkin finite element method for a class of hyperbolic systems},
NOTE = {Preprint},
year = {2004}
}

% meshing references
%================================================
@CONFERENCE{US,
AUTHOR = {A. \"{U}ng\"{o}r and A. Sheffer},
TITLE = {Tent-Pitcher: A Meshing Algorithm for 
Space-Time Discontinuous {G}alerkin Methods},
BOOKTITLE = {Proceedings of the 9th 
International Meshing Roundtable},
YEAR = {2000},
pages = {111-122},
address = {Sandia National Laboratories}

}







@INPROCEEDINGS{TP1,
AUTHOR = { Jeff Erickson and   Damrong Guoy and  John  Sullivan and Alper \"{U}ng\"{o}r},
TITLE = {Building spacetime meshes over arbitrary spatial domains},
YEAR = {2002},
BOOKTITLE =  {Proceedings of the  11th  International Meshing Roundtable},
address = {Sandia National Laboratories},
pages = {391 - 402}
}



@INPROCEEDINGS{TP2,
AUTHOR = {  Reza Abedi and  S.H. Chung and  Jeff Erickson  and  Yong Fan  and Michael Garland  and Damrong Guoy and Robert B. Haber  and  J. Sullivan and  Yuan Zhou},
TITLE = {Space-time meshing with adaptive refinement and coarsening},
YEAR = {2004},
BOOKTITLE =  {Proceedings 20th Annual ACM Symposium on Computational Geometry},
pages = {300 - 309},
month = {June},
address = {Brooklyn, NY}
}



%visualization
%====================================
@INPROCEEDINGS{garland,
AUTHOR = {Yuan Zhou and Michael Garland and  Robert B. Haber},
TITLE = {Pixel-Exact Rendering of Spacetime Finite Element Solutions},
YEAR = {2004},
month = oct,
pages = {425--432},
BOOKTITLE = {Proceedings of IEEE Visualization 2004}
}


%Mathematics references
%============================================================================

% exterior calculus
@BOOK{S,
AUTHOR = {M. Spivak}, 
TITLE = {Calculus on Manifolds},
PUBLISHER = {W. A. Benjamin},
YEAR = {1965},
address = {New York}
}

@BOOK{BG,
AUTHOR = {R. L. Bishop and S. I. Goldberg},
TITLE = {Tensor Analysis on Manifolds},
PUBLISHER = {Prentice Hall},
YEAR = {1980},
address = {Englewood Cliffs, New Jersey},
note = {Reprinted By Dover (1980)}
}


@BOOK{flemi,
AUTHOR = {W. H. Fleming},
TITLE = {Functions of Several Variables},
PUBLISHER = {Addison-Wesley},
YEAR = {1964},
address = {Reading, Massachusetts}
}

%other



@BOOK{BS,
AUTHOR = {S. C. Brenner and  L. R. Scott},
TITLE = {The Mathematical Theory of Finite Element 
Methods},
PUBLISHER = {Springer Verlag},
YEAR = {1994},
series = {Texts in Applied Mathematics {\bf 15}},
address = {New York}
}



@ARTICLE{C,
AUTHOR = {P. G. Ciarlet},
TITLE = { {\it The Finite Element Method for Elliptic Problems}, 
Classics in Applied Mathematics},
YEAR = {2002},
JOURNAL = {SIAM},
volume = {40}
}



@BOOK{DL,
AUTHOR = {G. Duvaut and J. L. Lions},
TITLE = {Inequalities in Mechanics and Physics},
PUBLISHER = {Springer Verlag},
YEAR = {1976},
address = {Berlin Heidelberg}
}



@BOOK{EEHJ,
AUTHOR = {K. Erikson and D. Estep and P. Hansbo and C. Johnson},
TITLE = {Computational 
Differential Equations},
PUBLISHER = {Cambridge University Press},
YEAR = {1996}
}


@BOOK{Evans,
AUTHOR = {L. C. Evans},
TITLE = {Partial Differential Equations},
PUBLISHER = {American Mathematical Society},
YEAR = {1998},
series = {Graduate Studies in 
Mathematics {\bf 19}},
address = {Providence, Rhode 
Island}
}


@BOOK{Gr,
AUTHOR = {W. Greub},
TITLE = {Linear Algebra},
PUBLISHER = {Springer Verlag},
YEAR = {1991},
address = {New York}
}


@ARTICLE{LL-MW,
AUTHOR = {J. Li and M. Luk\'{A}\v{c}ov\'{a}-Medvi\v{d}ov\'{a} and G. Warnecke},
TITLE = {Evolution 
{G}alerkin schemes applied to two-dimensional Riemann problems for the 
wave equation system},
YEAR = {2003},
JOURNAL = {Discrete and Continuous Dynamical Systems},
volume = {9},
number = {3},
pages = {559-576}
}



@BOOK{MH,
AUTHOR = {J. E. Marsden and T. J. R. Hughes},
TITLE = {Mathematical Foundations of Elasticity},
PUBLISHER = {Prentice Hall},
YEAR ={ 1983},
address = {Englewood Cliffs,New Jersey},
note = {Reprinted by Dover (1994)}
}



@BOOK{odendemko,
AUTHOR = {J. T. Oden and L. F. Demkowicz},
TITLE = {Applied Functional Analysis},
PUBLISHER = {CRC Press},
YEAR = {1996},
address = {Boca Raton}
}



@BOOK{OR,
AUTHOR = {J. T. Oden and J. N. Reddy},
TITLE = {An Introduction to the Mathematical Theory of 
Finite Elements},
PUBLISHER = {Wiley-Interscience},
YEAR = {1976},
address = {New York},
}


%lin43
@BOOK{J1,
AUTHOR = {C. Johnson},
TITLE = {Numerical Solutions of Partial Differential Equations by the Finite Element Method},
PUBLISHER = {Cambridge University Press},
address = {Cambridge},
YEAR = {1987}
}



% discontinuous finite element method
%=========================================================

% is a reference to semi-discrete finite element mehtods that use time martching for integration in time
% problems fial to preserve momentum,enegy, not good in capturing shocks
@BOOK{Hughes,
AUTHOR = {T. J. R. Hughes},
TITLE = {The Finite Element Method: Linear Static and 
Dynamic Finite Element Analysis},
PUBLISHER = {Dover Publications},
YEAR = {2000}
}

% Time-Discontinuous {G}alerkin (TDG)
% spacetime meshes, allowed discontinuity at descrete  time levels
@ARTICLE{HH1,
AUTHOR = {T. J. R. Hughes and G. M. Hulbert},
TITLE = {Space-time finite element methods for 
elastodynamics: Formulations and error estimates},
YEAR = {1988},
JOURNAL = {Computer Methods in 
Applied Mechanics and Engineering},
volume = {66},
pages = {339-363}
}
% same as HH1
@ARTICLE{HH2,
AUTHOR = {G. M. Hulbert and  T. R. J. Hughes},
TITLE = {Space-time finite element methods for second 
order hyperbolic equations},
YEAR = {1990},
JOURNAL = {Computer Methods in Applied Mechanics 
and Engineering},
volume = {84},
pages = {327-347}
}

% adaptive time discontinuous {G}alerkin (TDG) refer to HH1 and 2
@ARTICLE{LW1,
AUTHOR = {X. D. Li and N. E. Wiberg},
TITLE = {Structural dynamic analysis by a time-discontinuous 
{G}alerkin finite element method},
YEAR = {1996},
JOURNAL = {International Journal for Numerical 
Methods in Engineering},
volume = {39},
number = {12},
pages = {2131-2152}
}
% same as LW1
@ARTICLE{LW2,
AUTHOR = {X. D. Li and  N. E. Wiberg},
TITLE = {Implementation and adaptivity of a space-time finite 
element method for structural dynamics},
YEAR = {1998},
JOURNAL = {Computer Methods in 
Applied Mechanics and Engineering},
volume = {156},
pages = {211-229}
}




@ARTICLE{CCPS,
AUTHOR = {P. Castillo and B. Cockburn and I. Perugia and D. Sch\"{o}tzau},
TITLE = {An a priori 
error analysis of the local discontinuous {G}alerkin method for elliptic 
problems},
YEAR = {2000},
JOURNAL = {SIAM Journal on Numerical Analysis},
volume = {38},
number = {5},
pages = {1671-1706}
}



@ARTICLE{CS,
AUTHOR = {B. Cockburn and C. W. Shu},
TITLE = {The local discontinuous {G}alerkin method for 
time-dependent convection-diffusion systems},
YEAR = {1998},
JOURNAL = {SIAM Journal on Numerical 
Analysis},
volume = {35},
number = {6},
pages = {2440-2463}
}

@ARTICLE{DdCR,
AUTHOR = {A. V. C. Duarte and {do Carmo}, E. G. D.  and F. A. Rochinha},
TITLE = {Consistent discontinuous finite elements in elastodynamics},
YEAR = {2000},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
volume = {190},
pages = {193-223}
}


@ARTICLE{FR,
AUTHOR = {R. S. Falk and G. R. Richter},
TITLE = {Explicit finite element methods for symmetric 
hyperbolic equations},
YEAR = {1999},
JOURNAL = {SIAM Journal of Numerical Analysis},
volume = {36},
pages = {935-952}
}


@ARTICLE{F,
AUTHOR = {D. A. French},
TITLE = {A space-time finite element method for the wave
equation},
YEAR = {1993},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
volume = {107},
pages = {145-157}
}





@ARTICLE{J2,
AUTHOR = {C. Johnson},
TITLE = {Discontinuous {G}alerkin finite element methods for the wave
equation},
YEAR = {1993},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
volume = {107},
pages = {117-129}
}


@ARTICLE{JP,
AUTHOR = {C. Johnson and J. Pitk\"{a}ranta},
TITLE = {An Analysis of the Discontinuous {G}alerkin 
Method for Scalar Hyperbolic Equation},
YEAR = {1986},
JOURNAL = {Mathematics of Computation},
volume = {46},
number = {173},
pages = {1-26}
}


@BOOK{LNSO,
AUTHOR = {A. Lew and P. Neff and D. Sulszky and M. Ortiz},
TITLE = {Optimal BV 
estimates for a discontinuous {G}alerkin method for linear elasticity},
PUBLISHER = {Preprint},
YEAR = {2003}
}


@ARTICLE{MB,
AUTHOR = {Ch. G. Makridakis and I. Babu\v{s}ka},
TITLE = {On the Stability of the discontinuous 
{G}alerkin method for the heat equation},
YEAR = {1997},
JOURNAL = {SIAM Journal on Numerical 
Analysis},
volume = {34},
number = {1},
pages = {389-401}
}




@ARTICLE{R,
AUTHOR = {G. R. Richter},
TITLE = {An explicit finite element method for the wave equation},
YEAR = {1994},
JOURNAL = {Applied Numerical Mathematics},
volume = {16},
pages = {65-80}
}




% generalized elastodynamics
%=========================================================================
@ARTICLE{BBMlin,
AUTHOR = {BONELLI, A. and  BURSI  ,  O.S. and MANCUSO , M},
TITLE = {Explicit 
Predictor-multicorrector Time Discontinuons Galerkin Methods for linear 
dynamics},
YEAR = {2001},
JOURNAL = {Journal of Sound and Vibration},
volume = {246},
number = {4},
pages = {625-652}
}

@ARTICLE{BBMnonlin,
AUTHOR = {BONELLI, A. and  BURSI  ,  O.S. and MANCUSO , M},
TITLE = {Explicit 
Predictor-multicorrector Time Discontinuons Galerkin Methods for 
non-linear dynamics},
YEAR = {2002},
JOURNAL = {Journal of Sound and Vibration},
volume = {256},
number = {4},
pages = {693-722}
}

@ARTICLE{BB,
AUTHOR = {BONELLI, A. and BURSI, O.S.},
TITLE = {Iterative solutions for implicit Time 
Discontinuous Galerkin methods applied to non-linear elastodynamics},
YEAR = {2003},
JOURNAL = {Computational Mechanics},
volume = {30},
number = {5-6},
pages = {487-498}
}


@ARTICLE{BS2,
AUTHOR = {P. Betsch and P. Steinmann},
TITLE = {Conservation properties of a time {FE}
method. Part {II}: time-stepping schemes for non-linear elastodynamics},
YEAR = {2001},
JOURNAL = {International Journal for Numerical Methods in Engineering},
volume = {50},
pages = {1931-1955}
}



@ARTICLE{BS1,
AUTHOR = {P. Betsch and P. Steinmann},
TITLE = {Conservation properties of a time {FE}
method. Part {I}: time-stepping schemes for $N$-body problems},
YEAR = {2000},
JOURNAL = {International Journal for Numerical Methods in Engineering},
volume = {49},
pages = {599-638}
}

@ARTICLE{G,
AUTHOR = {O. Gonzales},
TITLE = {Exact energy and momentum conserving algorithms for
general models in nonlinear elasticity},
YEAR = {2000},
JOURNAL = {Computer Methods in 
Applied Mechanics and Engineering},
volume = {190},
pages = {1763-1783}
}




@BOOK{Gmech,
AUTHOR = {M. E. Gurtin},
TITLE = {An Introduction to Continuum Mechanics},
PUBLISHER = {Academic Press},
YEAR = {1981},
address = {New York}
}


@BOOK{Gelast,
AUTHOR = {M. E. Gurtin}, 
TITLE = {The Linear Theory of Elasticity, Handbuch der Physik},
PUBLISHER = {Springer Verlag},
YEAR = {1972},
volume = {Va/2},
address = { Berlin}
}



@ARTICLE{RO,
AUTHOR = {I. Romero},
TITLE = {On the stability and convergence of fully discrete solutions 
in linear elastodynamics},
YEAR = {2002},
JOURNAL = {Computer Methods in Applied Mechanics and 
Engineering},
volume = {191},
pages = {3857-3882}
}




@ARTICLE{WU,
AUTHOR = {S. Wu},
TITLE = {A priori error estimate for explicit finite element for linear 
elstodynamics by {G}alerkin method and central difference method},
YEAR = {2003},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
volume = {192},
pages = {5329-5353},
}



@ARTICLE{hughesmars,
AUTHOR = { T. J. R. Hughes and J. E. Marsden},
TITLE = {Classical elastodynamics as a linear symmetric hyperbolic system},
YEAR = {1978},
JOURNAL = {Journal of Elasticity},
volume = { 8},
pages = {97-110}
}

%others


@BOOK{Auld,
AUTHOR = {B. Auld},
TITLE = {Acoustic Fields in Waves and Solids},
PUBLISHER = {John Wiley\& Sons Inc. },
YEAR = {1973},
volume = {I, II}
}




@ARTICLE{GM,
AUTHOR = {Z. Ge and J. E. Marsden},
TITLE = {{L}ie-{P}oisson {H}amilton-{J}acobi theory and {L}ie-{P}oisson integrators},
YEAR = {1988},
JOURNAL = {Physics Letters A},
volume = {133},
pages = {134-139}
}


@ARTICLE{GJ,
AUTHOR = {E. Graham and G. Jeleni\'{c}},
TITLE = {A general framework for conservative
single-step time-integration schemes for higher-order accuracy for a
central-force system},
YEAR = {2003},
JOURNAL = {Computer Methods in 
Applied Mechanics and Engineering},
volume = {192},
pages = {3585-3618}
}



@ARTICLE{LMOW1,
AUTHOR = {A. Lew and J. E. Marsden and M. Ortiz and M. West},
TITLE = {Asyncronous variational
integrators},
YEAR = {2003},
JOURNAL = {Archive for Rational Mechanics and Analysis},
volume = {167},
pages = {85-146}
}


@ARTICLE{LMOW2,
AUTHOR = {A. Lew and J. E. Marsden and M. Ortiz and M. West},
TITLE = {Variational time
integrators},
YEAR = {2004},
JOURNAL = {International Journal for Numerical 
Methods in Engineering},
volume = {60},
pages = {153-212},
}


@BOOK{LeV,
AUTHOR = {R. L. LeVeque},
TITLE = {Finite Volume Methods for Hyperbolic Problems},
PUBLISHER = {Cambridge University Press},
YEAR = {2002}
}




@PHDTHESIS{lowriephd,
AUTHOR = {R. B. Lowrie},
TITLE = {Compact Higher-Order Numerical Methods for Hyperbolic Conservation Laws},
SCHOOL = {Department of Aerospace Engineering and Scientific Computing,  University of Michigan},
YEAR = {1996},
address = {Michigan}
}





%lin Yin thesis

%lin1
@BOOK{fycheng,
AUTHOR = {F. Y. Cheng},
TITLE = {Matrix Analysis of Structural Dynamics:Applications and Earthquake Engineering},
PUBLISHER = {Marcel Dekker},
address = {New York},
YEAR = {2001}
}

%lin2
@ARTICLE{jcsimo,
AUTHOR = {J. C. Simo and N. Tarnow and K. K. Wong},
TITLE = {Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics},
YEAR = {1992},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
volume = {100},
pages = {63-116}
}

%lin3
@BOOK{rdcook,
AUTHOR = {R. D. Cook and D. S. Malkus and M. E. Plesha},
TITLE = {Concepts and Applications of Finite Element Analysis},
PUBLISHER = {John Wiley and Sons},
address = {New York},
YEAR = {1989}
}

%lin4 same as HH1
%lin5 same as HH2


%lin6
@ARTICLE{hmhilbert,
AUTHOR = {H. M. Hilbert and T. J. R. Hughes and R. J. Taylor},
TITLE = {Improved numerical dissipation for time integration algorithms in structural dynamics},
YEAR = {1977},
JOURNAL = {Earthquake Engineering and Structural Dynamics},
volume = {5},
pages = {283-292}
}

%lin7 same as Hughes

%lin8
@BOOK{zienk1,
AUTHOR = {O. C. Zienkiewicz},
TITLE = {The Finite Element Method},
PUBLISHER = {MacGraw-Hill},
address = {London},
YEAR = {1977}
}



%lin9
@ARTICLE{zienk2,
AUTHOR = {O. C. Zienkiewicz},
TITLE = {A New look at the Newmark,{H}oubolt and other stepping formulas: A weighted residual approach},
YEAR = {1977},
JOURNAL = {Earthquake Engineering and Structural Dynamics},
volume = {5},
pages = {413-418}
}

%lin10
@ARTICLE{kujaw,
AUTHOR = {J. Kujawski and C. S. Desai},
TITLE = {Generalized time finite element algorithm for non-linear dynamic problems},
YEAR = {1984},
JOURNAL = {Engineering Computations},
volume = {1},
pages = {247-251}
}


%lin11
@ARTICLE{fried,
AUTHOR = {I. Fried},
TITLE = {Finite elements analysis of time-dependent phenomena},
YEAR = {1969},
JOURNAL = {AIAA Journal},
volume = {7},
pages = {1170-1173}
}


%lin12
@ARTICLE{argyr,
AUTHOR = {J. H. Argyris and D. W. Scharpf},
TITLE = {Finite elements in time and space},
YEAR = {1969},
JOURNAL = {Nuclear Engineering and Design},
volume = {10},
pages = {456-464}
}


%lin13
@ARTICLE{oden_gen_fe2,
AUTHOR = {J. T. Oden},
TITLE = {A general theory of finite elements {II}: Applications},
YEAR = {1969},
JOURNAL = {International Journal for Numerical Methods in Engineering},
volume = {1},
pages = {247-259}
}


%lin14
@BOOK{oden_fem_nlin,
AUTHOR = {J. T. Oden},
TITLE = {Finite Elements of Non-linear Continua},
PUBLISHER = {MacGraw-Hill},
address = {New York},
YEAR = {1972}
}



%lin15
@ARTICLE{baile,
AUTHOR = {C. D. Bailey},
TITLE = {Application of {H}amilton's law of varying action},
YEAR = {1975},
JOURNAL = {AIAA Journal},
volume = {13},
pages = {1154-1157}
}


%lin16
@ARTICLE{smith,
AUTHOR = {Smith, Jr,{C. V.} },
TITLE = {Discussion on '{H}amilton, {R}itz and elastodynamics'},
YEAR = {1977},
JOURNAL = {Journal of Applied Mechanics},
volume = {44},
pages = {796-797}
}



%lin17
@ARTICLE{simki,
AUTHOR = {T. E. Simkins },
TITLE = {Finite elements for initial value problems in dynamics},
YEAR = {1981},
JOURNAL = {AIAA Journal},
volume = {19},
pages = {1357-1362}
}



%lin18
@ARTICLE{baruc,
AUTHOR = {M. Baruch and R. Riff},
TITLE = {Hamilton's principle, {H}amilton's law-$6^n$ correct formulations},
YEAR = {1982},
JOURNAL = {AIAA Journal},
volume = {20},
pages = {687-692}
}




%lin19
@ARTICLE{riffb,
AUTHOR = {R. Riff and M. Baruch},
TITLE = {Time finite element discretization of {H}amilton's law of varying action},
YEAR = {1984},
JOURNAL = {AIAA Journal},
volume = {22},
pages = {1310-1318}
}



%lin20
@ARTICLE{borri,
AUTHOR = {M. Borri and  G. L. Ghiringhelli and  M. Lanz and  P. Mantegazza  and T. Merlini},
TITLE = {Dynamic response of mechanical systems by a weak {H}amiltonian formulation},
YEAR = {1985},
JOURNAL = {Computers and Structures},
volume = {20},
pages = {495-508}
}



%lin21
@ARTICLE{cellal,
AUTHOR = {A. Cella and  M. Lucchesi and G. Pasquinelli},
TITLE = {Space-time elements for the shock wave propagation problem},
YEAR = {1980},
JOURNAL = {International Journal of Numerical Methods in Engineering},
volume = {15},
pages = {1475-1488}
}



%lin22
@ARTICLE{bajer1,
AUTHOR = {C. Bajer},
TITLE = {Triangular and tetrahedral space-time finite elements in vibrational analysis},
YEAR = {1986},
JOURNAL = {International Journal of Numerical Methods in Engineering},
volume = {23},
pages = {2031-2048}
}




%lin23
@ARTICLE{bajer2,
AUTHOR = {C. I. Bajer and C. G. Bonthoux},
TITLE = {State of the art in true space-time finite element method},
YEAR = {1988},
JOURNAL = {Sound and Vibration Digest},
volume = {20},
pages = {3-11}
}



%lin24
@INPROCEEDINGS{iurab,
AUTHOR = {M. Iura and  M. Borri and S. N. Atluri},
TITLE = {Analysis of traveling wave response of structures},
YEAR = {1988},
BOOKTITLE =  {Computational Mechanics 88: Proceedings of the International Conference on Computational Engineering Science},
pages = {44.v.1- 44.v.5},
editor = {N. Atluri and G. Yagawa}
}




%lin25
@ARTICLE{peter,
AUTHOR = {D. A. Peters and A. P. Izadpanah},
TITLE = {hp-version finite elements for the space-time domain},
YEAR = {1988},
JOURNAL = {Computational Mechanics},
volume = {3},
pages = {73-88}
}



%lin26
@ARTICLE{aharo,
AUTHOR = {D. Aharoni and P. Bar- Yoseph},
TITLE = {Mixed finite element formulations in the time domain for solution of dynamic problems},
YEAR = {1992},
JOURNAL = {Computational Mechanics},
volume = {9},
pages = {359-374}
}



%lin27
@ARTICLE{houpe,
AUTHOR = {L. J. Hou and D. A. Peters},
TITLE = {Application of triangular space-time finite elements to problems of wave propagation},
YEAR = {1994},
JOURNAL = {Journal of Sound and Vibration},
volume = {173},
pages = {611-632}
}




%lin28
@ARTICLE{wendl,
AUTHOR = {J. M. Wendlandt and J. E. Marsden},
TITLE = {Mechanical integrators derived from a discrete variational principle},
YEAR = {1997},
JOURNAL = {Journal of Sound and Vibration},
volume = {106},
pages = {223-246}
}


%lin29 same as GM


%lin30
@ARTICLE{simot1,
AUTHOR = {J. C. Simo and N. Tarnow},
TITLE = {A new energy and momentum conserving algorithm for the non-linear dynamics of shells},
YEAR = {1994},
JOURNAL = {International Journal for Numerical Methods in Engineering},
volume = {37},
pages = {2527-2549}
}



%lin31
@ARTICLE{lewis1,
AUTHOR = {D. Lewis and J. C. Simo},
TITLE = {Conserving algorithms for the dynamics of {H}amiltonian systems on Lie groups},
YEAR = {1994},
JOURNAL = {Journal of Nonlinear Science},
volume = {4},
pages = {253-299}
}



%lin32
@ARTICLE{tarno,
AUTHOR = {N. Tarnow and J. C. Simo},
TITLE = {How to render 2nd order accurate time-stepping algorithms 4th order accurate while retaining the stability and conservation properties},
YEAR = {1994},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
volume = {115},
pages = {233-252}
}


%lin33
@ARTICLE{simot2,
AUTHOR = {J. C. Simo and  N. Tarnow  and M. Doblare},
TITLE = {Non-linear dynamics of three-dimensional rods exact energy and momentum conserving algorithms},
YEAR = {1995},
JOURNAL = {International Journal for Numerical Methods in Engineering},
volume = {38},
pages = {1431-1473}
}



%lin34
@ARTICLE{gonza,
AUTHOR = {O. Gonzalez and J. C. Simo},
TITLE = {On the stability of symplectic and energy-momentum algorithms for non-linear {H}amiltonian systems with symmetry},
YEAR = {1996},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
volume = {134},
pages = {197-222}
}


%lin35 same as BS2

%lin36
@ARTICLE{vesel1,
AUTHOR = {A. P. Veselov},
TITLE = {Integrable discrete-time systems and difference operators},
YEAR = {1988},
JOURNAL = {Functional Analysis and Application},
volume = {22},
pages = {83-94}
}


%lin37
@ARTICLE{vesel2,
AUTHOR = {A. P. Veselov},
TITLE = {Integrable Lagrangian correspondences and the factorization of matrix polynomials},
YEAR = {1991},
JOURNAL = {Functional Analysis and Application},
volume = {25},
pages = {112-123}
}



%lin38
@ARTICLE{moser,
AUTHOR = {J. Moser and A. P. Veselov},
TITLE = {Discrete versions of some classical integrable systems and factorization of matrix polynomials},
YEAR = {1991},
JOURNAL = {Communications in Mathematical Physics},
volume = {139},
pages = {217-243}
}

%lin39
@ARTICLE{marsepat,
AUTHOR = {J. E. Marsden and  G. W. Patrick and S. Shkoller},
TITLE = {Multisymplectic geometry, variational integrators, and nonlinear {PDE}s},
YEAR = {1998},
JOURNAL = {Communications in Mathematical Physics},
volume = {199},
pages = {351-395}
}


%lin40
@ARTICLE{marsepek,
AUTHOR = {J. E. Marsden and S. Pekarsky and  S. Shkoller and M. West},
TITLE = {Variational methods, multi- symplectic geometry, and continuum mechanics},
YEAR = {2001},
JOURNAL = {Journal of Geometry and Physics},
volume = {38},
pages = {253-284}
}



%lin41
@ARTICLE{kanemo,
AUTHOR = {C. Kane and  J. E. Marsden  and M. Ortiz},
TITLE = {Symplectic-energy-momentum preserving variational integrators},
YEAR = {1999},
JOURNAL = {Journal of Mathematical Physics},
volume = {40},
pages = {3353-3371}
}

%lin42
@ARTICLE{KMOW,
AUTHOR = {C. Kane and J. E. Marsden and M. Ortiz and M. West},
TITLE = {Variational integrators and the New- mark algorithm for conservative and dissipative mechanical systems},
YEAR = {2000},
JOURNAL = {International Journal for Numerical Methods in Engineering},
volume = {49},
pages = {1295-1325}
}
%lin43 same as J1

%lin44
@TECHREPORT{reedhi,
AUTHOR = {W. H. Reed and T. R. Hill},
TITLE = {Triangular mesh methods for the neutron transport equation. Report {LA-UR-73-479}},
INSTITUTION = {Los Alamos Scientific Laboratory},
YEAR = {1973},
address = {Los Alamos},
}



%lin45
@INCOLLECTION{lesairav,
AUTHOR = {P. Lesaint and P. A. Raviart},
TITLE = {On a finite element method for solving the neutron transport equation},
BOOKTITLE = {Mathematics Aspects of Finite Elements in Partial Differential Equations},
PUBLISHER = {Academic Press},
YEAR = {1974},
editor = {de Boor, C. },
pages = { 89-123},
address = {New York},
}


%lin46
@INCOLLECTION{cockbkar,
AUTHOR = {B. Cockburn and G. E. Karniadakis  and C. W. Shu},
TITLE = {The development of discontinuous {G}alerkin methods},
BOOKTITLE = {Discontinuous {G}alerkin Methods: Theory, Computation and Application},
PUBLISHER = {Springer},
YEAR = {2000},
editor = {B. Cockburn},
pages = { 1-50},
address = {New York},
}


%lin47
@PHDTHESIS{baumaphd,
AUTHOR = {C. E. Baumann},
TITLE = {An hp-adaptive Discontinuous Finite Element Method for Computational Fluid Dynamics},
SCHOOL = {Department of Aerospace Engineering, University of Texas at Austin},
YEAR = {1997},
address = {Austin}
}



%lin48
@ARTICLE{OBB,
AUTHOR = {J. T. Oden and  I. Babu\v{s}ca and  and C. E. Baumann},
TITLE = {A discontinuous hp finite element method for diffusion problems},
YEAR = {1998},
JOURNAL = {Journal of Computational Physics},
volume = {146},
pages = {491-519}
}


%lin49
@ARTICLE{BBO,
AUTHOR = {I. Babu\v{s}ca and C. E. Baumann and J. T. Oden},
TITLE = {A discontinuous hp finite 
element method for diffusion problems: 1-{D} analysis},
YEAR = {1999},
JOURNAL = {Computers and Mathematics with Applications},
volume = {37},
pages = {103-122}
}



%lin50
@ARTICLE{bauodn,
AUTHOR = {C. E. Baumann and J. T. Oden},
TITLE = { A discontinuous hp finite element method for convection-diffusion problems},
YEAR = {1999},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
volume = {175},
pages = {311-341}
}

%lin51 same as sobhh



%lin52
@ARTICLE{duart,
AUTHOR = {A. V. C. Duarte and E. G. D. Carmo and F. A. Rochinha},
TITLE = {Consistent discontinuous finite elements in elastodynamics},
YEAR = {2000},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
volume = {190},
pages = {193-223}
}


%lin53
@ARTICLE{hulbediscap,
AUTHOR = { G. M. Hulbert},
TITLE = {Discontinuity-capturing operators for elastodynamics},
YEAR = {1992},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
volume = {96},
pages = {409-426}
}


%lin54
@ARTICLE{hulbetimfe,
AUTHOR = { G. M. Hulbert},
TITLE = {Time finite element methods for structural dynamics},
YEAR = {1992},
JOURNAL = {International Journal of Numerical Methods in Engineering},
volume = {33},
pages = {307-331}
}
        


%lin55
@ARTICLE{hulbejang,
AUTHOR = { G. M. Hulbert and I. Jang},
TITLE = {Automatic time step control algorithms for structural dynamics},
YEAR = {1995},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
volume = {126},
pages = {155-178}
}
        



%lin56 same as F 
%lin57 
@ARTICLE{johnsondisgal2ord,
AUTHOR = { Q C. Johnson},
TITLE = {Discontinuous {G}alerkin. finite Element methods for second order hyperbolic problems},
YEAR = {1993},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
volume = { 107},
pages = {117- 
129}
}

%lin58 same as LW1
%lin59 same as LW2

%lin60
@ARTICLE{wiberli,
AUTHOR = { N. E. Wiberg and X. D. Li},
TITLE = {Adaptive finite element procedures for linear and non-linear dynamics},
YEAR = {1999},
JOURNAL = {International Journal for Numerical Methods in Engineering},
volume = { 46},
pages = {1781-1802}
}

%lin61
@ARTICLE{karao,
AUTHOR = { L. Karaoglan and A. K. Noor},
TITLE = {Space-time finite element methods for the sensitivity analysis of contact/impact response of axisymmetric composite structures},
YEAR = {1997},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
volume = { 144},
pages = {371-389}
}



%lin62
@ARTICLE{masud,
AUTHOR = { A. Masud and T. J. R. Hughes},
TITLE = {A space-time {G}alerkin / least-squares finite element formulation of the {N}avier-{S}tokes equations for moving domain problems},
YEAR = {1997},
JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
volume = { 146},
pages = {91-126}
}


%lin63 same as lowriephd
%lin64 same as hughesmars
%lin65 same as FR
%lin66 same as R
%lin67 same as flemi
%lin68 same as odendemko
%lin69 same as MH
%lin70 same as Gelast