Publications of Leopoldo P. Franca

This is a complete list of publications. Those that are clickable are
available in a postscript format. If you need any paper copy of these
publications, please write an e-mail to me.

  1. ``A new finite element formulation for computational fluid
    dynamics: I. Symmetric forms of the compressible Euler and
    Navier-Stokes equations and the second law of thermodynamics",
    with T.J.R. Hughes and M.Mallet,
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 54, pp.223-234 (1986).
  2. ``Entropy-stable finite element methods for compressible
    fluids: application to high mach number flows with shocks",
    with T.J.R.Hughes and M.Mallet,
    pp.761-773 in Finite Element Methods for Nonlinear Problems
    (Bergan, Bathe and Wunderlich eds.) Europe-US Symposium,
    Trodheim, Norway (1985) Springer, Berlin-Heildelberg (1986).
  3. ``A new finite element formulation for computational fluid
    dynamics: V. Circumventing the Babuska-Brezzi condition: a
    stable Petrov-Galerkin formulation of the Stokes problem
    accommodating equal-order interpolations",
    with T.J.R. Hughes and M. Balestra,
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 59, pp.85-99 (1986).
  4. ``New finite element methods for compressible Euler and
    Navier-Stokes equations",
    with T.J.R. Hughes and M.Mallet,
    pp.339-360 in Computing Methods in Applied Sciences and Engineering VII
    (Glowinski and Lions eds.), North-Holland, Amsterdam (1986).
  5. ``Calculation of two-dimensional compressible Euler flows
    with a new Petrov-Galerkin finite element method",
    with F.Chalot, I.Harari, T.J.R.Hughes, F.Shakib, M.Mallet,
    J.Periaux and B.Stoufflet.
    To appear in Notes on Numerical Fluid Mechanics Vieweg-Verlag.
  6. ``Finite element method for high-speed flows: consistent
    calculation of boundary flux",
    with T.J.R.Hughes, I.Harari, M.Mallet, F.Shakib and T.E.Spelce,
    Proceedings of the AIAA 25th Aerospace Science Meeting,
    Paper \#87-0556 (1987).
  7. ``A Petrov-Galerkin finite element method for the compressible
    Euler and Navier-Stokes equations",
    with I.Harari, T.J.R.Hughes, M.Mallet, F.Shakib, T.E.Spelce,
    F.Chalot and T.E.Tezduyar,
    pp.19-43 in Numerical Methods for Compressible Flows - Finite
    Difference, Element and Volume Techniques, (Tezduyar and Hughes eds.)
    Winter Meeting of ASME, Anaheim, California, Dec. 1986,
    AMD-Vol. 78 (1986).
  8. ``A successful mixed formulation for axisymmetric shell analysis
    employing discontinuous stress fields of the same order as the
    displacement field",
    with A.F.D.Loula, I.Miranda and T.J.R.Hughes,
    pp. 581-599, Vol. 2 of Proceedings of the 4th Brazilian Symposium
    on Piping and Pressure Vessels, Salvador, Brazil, ABCM (1986).
  9. ``A new family of stable element for nearly incompressible elasticity
    based on a mixed Petrov-Galerkin finite element formulation",
    with T.J.R. Hughes, A.F.D.Loula and I.Miranda,
    Numerische Mathematik, Vol. 53, pp.123-141 (1988).
  10. ``Mixed Petrov-Galerkin methods for the Timoshenko beam problem",
    with A.F.D.Loula, T.J.R.Hughes and I.Miranda,
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 63, pp.133-154 (1987).
  11. ``Petrov-Galerkin formulations of the Timoshenko beam problem",
    with A.F.D.Loula and T.J.R.Hughes,
    Computer Methods in Applied Mechanics and Engineering,
    Vol.63, pp.115-132 (1987).
  12. ``Stability, convergence and accuracy of a new finite element
    method for the circular arch problem",
    with A.F.D.Loula, T.J.R. Hughes and I.Miranda,
    Computer Methods in Applied Mechanics and Engineering,
    Vol.63, pp.281-303 (1987).
  13. ``A new finite element formulation for computational fluid dynamics:
    VI. Convergence analysis of the generalized SUPG formulation for
    linear time-dependent multidimensional advective-diffusive systems",
    with T.J.R.Hughes and M.Mallet,
    Computer Methods in Applied Mechanics and Engineering,
    Vol.63, pp.97-112 (1987).
  14. ``A new finite element formulation for computational fluid dynamics:
    VII. The Stokes problem with various well-posed boundary conditions:
    symmetric formulations that converge for all velocity/pressure spaces",
    with T.J.R.Hughes,
    Computer Methods in Applied Mechanics and Engineering,
    Vol.65, pp.85-96 (1987).
  15. ``Some new classes of mixed finite element methods",
    with T.J.R.Hughes,
    pp.135-156 in Numerical Analysis 1987 (Griffiths and Watson eds.),
    Pitman Research Notes in Mathematics Series, Vol.170 (1988).
  16. ``Convergence of transverse shear stresses in the finite element
    analysis of plates",
    with T.J.R. Hughes,
    Communications in Applied Numerical Methods,
    Vol.4, pp. 185-187 (1988).
  17. ``Two classes of mixed finite element methods",
    with T.J.R.Hughes,
    Computer Methods in Applied Mechanics and Engineering,
    Vol.69, pp.89-129 (1988).
  18. ``A mixed finite element formulation for Reissner-Mindlin plate theory:
    uniform convergence of all higher-order spaces",
    with T.J.R.Hughes,
    Computer Methods in Applied Mechanics and Engineering,
    Vol.67, pp.223-240 (1988).
  19. ``Finite element approximation of a new variational principle for
    compressible and incompressible linear isotropic elasticity",
    pp.313-315 in Proceedings of the I Pan American Congress of
    Applied Mechanics (PACAM), Rio de Janeiro, Brasil, AAM and ABCM (1989).
  20. ``On mixed finite element methods for axisymmetric shell analysis",
    with A.F.D.Loula, I.Miranda and T.J.R.Hughes,
    Computer Methods in Applied Mechanics and Engineering,
    Vol.72, pp.201-231 (1989).
  21. ``Analysis and finite element approximation of compressible and incompressible
    linear isotropic elasticity based upon a variational principle",
    Computer Methods in Applied Mechanics and Engineering,
    Vol.76, pp.259-273 (1989).
  22. ``On a new variational principle for compressible and incompressible
    linear isotropic elasticity",
    Proceedings of the XI CNMAC, pp.248-251, Ouro Preto, Brazil (1988).
  23. ``A new mixed finite element method for the Timoshenko beam problem",
    with A.F.D.Loula,
    Mathematical Modelling and Numerical Analysis,
    Vol. 25, pp.561-578 (1991).
  24. ``The Galerkin Gradient Least-squares method",
    with E.G.Dutra do Carmo,
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 74, pp.41-54 (1989).
  25. ``On the superconvergence of the Satisfying-Babuska-Brezzi method",
    International Journal for Numerical Methods in Engineering,
    Vol. 29, pp.1715-1726 (1990).
  26. ``An algorithm to compute the square root of a 3x3 positive definite matrix",
    Computers and Mathematics with Applications,
    Vol. 18, \#5, pp.459-466 (1989).
  27. ``On finite element formulations for the Stokes flow problem",
    pp.169-171 in Proceedings of II ENCIT,
    Aguas de Lindoia, SP, Brazil, ABCM (1988).
  28. ``A new finite element formulation for computational fluid dynamics:
    VIII. The Galerkin/Least-squares method for advective-diffusive equations",
    with T.J.R.Hughes and G.M.Hulbert,
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 73, pp.173-189 (1989).
  29. ``The Galerkin/Least-squares method for advective-diffusive equations",
    with T.J.R.Hughes, G.M.Hulbert, Z.Johan and F.Shakib,
    pp.75-99 in Recent Developments in Computational Fluid Dynamics
    (Tezduyar and Hughes eds.) Winter Meeting of ASME, Chicago,
    Illinois    , Nov. 1988, AMD-Vol. 95 (1988).
  30. ``Stress analysis in pressure vessels by mixed finite element methods
    taking into account shear deformation",
    with E.M.Toledo, A.F.D. Loula and E.L.M.Garcia,
    pp.749-760, Vol. 2 of Proceedings of the 5th Brazilian Symposium on
    Piping and Pressure Vessels, Salvador, Brazil, ABCM (1988).
  31. ``A new family of stable elements for the Stokes problem based on a
    mixed Galerkin/Least-squares finite element formulation",
    with T.J.R.Hughes, A.F.D.Loula and I.Miranda, pp.1067-1074 in
    Finite Element Analysis in Fluids (Chung and Karr eds.)
    Seventh International Conference on Finite Element Methods in Flow Problems,
    Huntsville, Alabama, Apr.1989, UAH Press (1989).
  32. ``The Stokes problem with various well-posed boundary conditions:
    symmetric formulations that converge for all velocity/pressure spaces",
    with T.J.R.Hughes,
    pp.1098-1103 in Finite Element Analysis in Fluids (Chung and Karr eds.)
    Seventh International Conference on Finite Element Methods in Flow Problems,
    Huntsville, Alabama, Apr. 1989, UAH Press (1989).
  33. ``Strong source heat transfer simulations based on
    a Galerkin/Gradient-least-squares method",
    with E.G.Dutra do Carmo,
    pp.160-169, Vol. 6, Part 1 in Numerical Methods in Thermal Problems
    (Lewis and Morgan eds.), the Sixth International Conference on
    Numerical Methods in Thermal Problems, Swansea, U.K., July 1989,
    Pineridge Press (1989).
  34. ``Finite element approximations of the Stokes flow problem based
    upon various variational principles",
    with T.J.R.Hughes and R.Stenberg,
    pp.85-95, Vol. 6, Part 1 in Numerical Methods in Laminar and Turbulent
    Flow (Taylor, Gresho, Sani and Hauser eds.) Sixth International
    Conference on Numerical Methods in Laminar & Turbulent Flow, Swansea,
    U.K.    , July 1989, Pineridge Press (1989).
  35. ``Application of a mixed Galerkin/Least-squares method
    for axisymmetric shell problems subjected to arbitrary loading",
    with A.F.D.Loula, E.M.Toledo and E.L.M.Garcia,
    pp.359-364, in the Proceedings of the 10th International Conference on
    Structural Mechanics in Reactor Technology, Anaheim, California, August 1989.
  36. ``Galerkin/Least-squares finite element formulations for the Stokes
    flow problem",
    with T.J.R.Hughes, pp. 99-104, Vol. 2 in the Proceedings of the Vth
    International Symposium on Numerical Methods in Engineering,
    (Gruber, Periaux and Shaw eds.), Lausanne, Switzerland, September 1989,
    Computational Mechanics Publications and Springer-Verlag (1989).
  37. ``Error analysis of some Galerkin-least-squares methods for the
    elasticity equations",
    with R.Stenberg,
    SIAM Journal on Numerical Analysis,
    Vol. 28, No. 6, pp.1680-1697 (1991).
  38. ``Finite element approximation of a new variational principle for
    compressible and incompressible linear isotropic elasticity",
    with R.Stenberg,
    Applied Mechanics Reviews,
    Vol. 42, n. 11, pp. S64-S68 (1989).
  39. ``A modification of a low-order Reissner-Mindlin plate bending element",
    with R.Stenberg,
    pp. 425-436 in The Mathematics of Finite Elements and Applications VII,
    (Whiteman, ed.), Academic Press (1991).
  40. ``Numerical experiments for the Stokes flow employing Galerkin and
    Galerkin-least-squares finite element methods",
    with S.L.Frey, R.Sampaio and R.Stenberg,
    pp.248-251 of the Proceedings of the Second World Congress on Computational
    Mechanics, Extended Abstracts of Lectures, Stuttgart, Germany, August 1990.
  41. ``Galerkin-least-squares and Galerkin-gradient-least-squares:
    Modern finite element formulations",
    with S.L.Frey,
    pp.18-21 of the Proceedings of the Second World Congress on Computational
    Mechanics, Extended Abstracts of Lectures, Stuttgart, Germany, August 1990.
  42. ``An optimal linear element for Reissner-Mindlin plates",
    with R.Stenberg,
    pp.429-432 of the Proceedings of the Second World Congress on Computational
    Mechanics, Extended Abstracts of Lectures, Stuttgart, Germany, August 1990.
  43. ``A convergence analysis of a stabilized method for the Stokes flow",
    with J.Karam Filho, A.F.D.Loula and R.Stenberg,
    Matematica Aplicada e Computacional,
    Vol. 10, No.1, pp.19-26 (1991).
  44. ``Stabilized finite element methods: I. Application to the
    advective-diffusive model",
    with S.L.Frey and T.J.R.Hughes.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 95, pp.253-276 (1992).
  45. ``A relationship between stabilized finite element methods
    and the Galerkin method with bubble functions",
    with F.Brezzi, M.O.Bristeau, M.Mallet and G.Roge.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 96, pp.117-129 (1992).
  46. ``Stabilized finite element methods for the Stokes problem",
    with T.J.R.Hughes and R.Stenberg. In Chapter 4, pp. 87-108
    Incompressible Computational Fluid Dynamics - Trends and Advances
    (M.D. Gunzburger and R.A. Nicolaides, eds.),
    Cambridge University Press, 1993.
  47. ``A nonconforming element for the Reissner-Mindlin plate bending model",
    with R.Stenberg and T.Vihinen,
    pp.1907-1908, Vol. 4 in the Proceedings of the 13th IMACS World Congress
    on Computation and Applied Mathematics (Vichnevetsky and Miller, eds.),
    Trinity College, Dublin, July 1991.
  48. ``Stabilized finite element methods: II.The incompressible Navier-Stokes
    equations",
    with S.L.Frey.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 99, pp.209-233 (1992).
  49. ``On stabilized methods for the advective-diffusive model",
    with S.L.Frey and T.J.R.Hughes,
    pp.609-620 in the Proceedings of the 10th International Conference on
    Computing Methods in Applied Sciences and Engineering (Glowinski, ed.)
    Paris (Le Vesinet), February 1992, Nova Science Publishers, Inc.,
    New York (1991).
  50. ``Stabilized finite element methods for the velocity-pressure-stress
    formulation of incompressible flows",
    with M.A.Behr and T.E.Tezduyar.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 104, pp.31-48 (1993).
  51. ``Stabilized finite element methods for the advective-diffusive problem",
    with S.L.Frey and T.J.R.Hughes,
    pp.97-100 in the Proceedings of the 11th ABCM Mechanical Engineering
    Conference, Sao Paulo, Brazil, December 1991, ABCM(1991).
  52. ``Virtual bubbles and the Galerkin-least-squares method",
    with C.Baiocchi and F.Brezzi.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 105, pp.125-141 (1993).
  53. ``Convergence analyses of Galerkin-least-squares methods for symmetric
    advective-diffusive forms of the Stokes and incompressible Navier-Stokes
    equations",
    with T.J.R.Hughes.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 105, pp.285-298 (1993).
  54. ``Element diameter free stability parameters for stabilized methods
    applied to fluids",
    with A.L.Madureira.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 105, pp.395-403 (1993).
  55. ``Stabilized methods for the incompressible Navier-Stokes flow",
    with S.L.Frey and R.Sampaio,
    pp.796-805, Part II in Numerical Methods in Engineering and Applied
    Sciences (Alder, Heinrich, Lavanchy, O\~nate and Su\'arez eds.)
    International Congress on Numerical Methods in Engineering
    and Applied Sciences, Concepci\'on, Chile, November 1992,
    CIMNE - Barcelona (1992).
  56. ``Simulacao numerica do problema de Navier-Stokes incompressivel via
    metodos estabilizados de elementos finitos,"
    with S.L.Frey and R.Sampaio,
    pp. 329-332 in Proceedings of IV ENCIT,
    Rio de Janeiro, RJ, Brasil, ABCM (1992).
  57. ``On the limitations of bubble functions,''
    with C.Farhat.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 117, pp.225-230 (1994).
  58. ``Incompressible flows based upon stabilized methods'',
    in pp. 89-100, Vol. 47 of Notes on Numerical Fluid Mechanics,
    Numerical Methods for the Navier-Stokes Equations,
    (F.-K. Hebecker, R. Rannacher and G. Wittum, eds.), Vieweg-Verlag, 1994.
  59. ``Two- and three-dimensional simulations of the incompressible
    Navier-Stokes Equations based on stabilized methods",
    with S.L.Frey and A.L.Madureira,
    pp. 121-128 in Computational Fluid Dynamics 94, Proceedings of the Second
    European Computational Fluid Dynamics Conference, (S. Wagner, E.H. Hirschel,
    J. P\'eriaux, R. Piva, eds.), John Wiley and Sons,
    Stuttgart, Germany, September 1994.
  60. ``Anti-stabilizing effects of bubble functions,"
    with C.Farhat,
    in Vol. 2, pp. 1452-1453, Proceedings of the Third World Congress on
    Computational Mechanics, Extended Abstracts, Chiba, Japan, August 1994.
  61. ``Bubble functions prompt unusual stabilized finite element methods,''
    with C.Farhat.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 123, pp. 299-308 (1995).
  62. ``Unusual stabilized finite element methods for second order linear
    differential equations,''
    with M. Lesoinne and C.Farhat.
    In Part I, pp. 377-386 of the Proceedings of the Ninth International
    Conference on Finite Elements in Fluids - New Trends and Applications,
    (M. Morandi Cecchi, K. Morgan, J. Periaux, B.A. Screfler,
    O.C. Zienkiewicz, eds.), Venice, Italy, October 1995.
  63. ``Stabilized finite element methods suggested by the Galerkin method
    enriched with bubble functions,''
    with C. Farhat and M. Lesoinne.
    In p.91 of the Abstracts of the
    Third U.S. National Congress on Computational Mechanics, Dallas, Texas,
    June 1995.
  64. ``Unusual stabilized finite element methods,''
    with C. Farhat,
    International Congress on Industrial and Applied Mathematics,
    ICIAM 95, Hamburg, Germany, July 1995, to appear.
  65. ``Combining stabilized finite element methods,''
    with F. Valentin,
    Matematica Aplicada e Computacional,
    Vol. 14, No. 3, pp. 67-82 (1995).
  66. ``Static Condensation: An Old Idea Revisited,''
    with C. Farhat and M. Lesoinne,
    In p.26 of the `Libro de Resumenes' of the
    Cuarto Congreso Franco-Latinoamericano de Matematicas Aplicadas: Metodos Numericos en Mecanica,
    Concepcion, Chile, December 1995.
  67. ``Deriving Upwinding, Mass Lumping and Selective Reduced Integration by Residual Free Bubbles,''
    with A. Russo,
    Applied Mathematics Letters,
    Vol. 9, pp. 83-88 (1996).
  68. ``Mass Lumping Emanating from Residual Free Bubbles,''
    with A. Russo,
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 142, pp.353-360 (1997).
  69. ``Unlocking with Residual Free Bubbles,''
    with A. Russo,
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 142, pp.361-364 (1997).
  70. ``Some recent results on the stabilization of finite element methods,''
    with F. Brezzi, T.J.R. Hughes and A. Russo,
    in pp 596-598 of the Proceedings of the III Congresso Nazionale della SIMAI,
    Salice Terme, Italy, May 1996.
  71. ``b = integral g,''
    with F. Brezzi, T.J.R. Hughes and A. Russo,
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 145, pp. 329-339 (1997).
  72. ``Unusual Stabilized Finite Element Methods and Residual-Free-Bubbles,''
    with C. Farhat, M. Lesoinne and A. Russo,
    International Journal for Numerical Methods in Fluids,
    Vol. 27, pp.159-168 (1998).
  73. ``Stabilization Techniques and Subgrid Scales Capturing,''
    with F. Brezzi, T.J.R. Hughes and A. Russo.
    The State of the Art in Numerical Analysis, based on the proceedings
    of the Conference on the State of the Art in Numerical Analysis,
    York, England, April 1996, IMA Conference Series, Vol. 63
    (I.S. Duff and G.A. Watson, eds.), Oxford University Press, pp. 391-406.
  74. ``Residual-Free Bubbles for the Helmholtz Equation,''
    with C. Farhat, A.P. Macedo and M. Lesoinne.
    International Journal for Numerical Methods in Engineering,
    Vol. 40, pp. 4003-4009 (1997).
  75. ``Approximation of the Stokes Problem by Residual-Free Macro Bubbles,''
    with A. Russo.
    East-West Journal of Numerical Analysis,
    Vol. 4, pp.265-278 (1996).
  76. ``A Two-Level Finite Element Method,''
    with A.P. Macedo, Abstracts of Papers Presented to AMS,
    vol. 18, no. 2, p. 298.
    AMS Memphis, Tennessee Meeting,
    Memphis, Tennessee, March 1997.
  77. ``Computations with a Two-Level Finite Element Method,''
    with A.P. Macedo. In p. 84 of the
    Abstracts of the
    Fourth U.S. National Congress on Computational Mechanics,
    San Francisco, California, August 1997.
  78. ``An Overview of the Residual-Free-Bubbles Method,''
    Numerical Methods in Mechanics (Carlos Conca and Gabriel N. Gatica, eds.),
    Pitman Research Notes in Mathematics Series, vol. 371, p. 83-92,
    Addison Wesley Longman.
  79. ``Stabilization Techniques for Domain Decomposition Methods with
    Non-Matching Grids,''
    with F. Brezzi, D. Marini and A. Russo, to appear in the
    Proceedings of the 9th Domain Decomposition Method Conference,
    Bergen, Norway, June 1996.
  80. ``A Two Level Finite Element Method and its Application to the
    Helmholtz Equation,''
    with A.P. Macedo,
    International Journal for Numerical Methods in Engineering,
    Vol. 43, pp. 23-32 (1998).
  81. ``Residual-free bubbles and the Stokes problem,''
    with A. Russo. In p. 85 of the
    Abstracts of the Fourth U.S. National Congress on Computational Mechanics,
    San Francisco, California, August 1997.
  82. ``Further Considerations on Residual-Free Bubbles for Advective-Diffusive
    Equations,''     with F. Brezzi and A. Russo.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 166, pp. 25-33 (1998).
  83. ``On the Stability of Residual-Free Bubbles for Convection-Diffusion
    Problems and Their Approximation by a Two-Level Finite Element Method,''
    with A. Nesliturk and M. Stynes.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 166, pp. 35-49 (1998).
  84. ``Recent advances on stabilization techniques via bubble functions.''
    In Vol. I, p. I-123 of the
    Abstracts of the Fourth World Congress on Computational Mechanics,
    Buenos Aires, Argentina, July 1998.
  85. ``Stabilization for bilinear finite elements via residual-free bubbles,''
    with A. Russo.
    In Vol. I, p. I-129 of the
    Abstracts of the Fourth World Congress on Computational Mechanics,
    Buenos Aires, Argentina, July 1998.
  86. ``Recovering SUPG using Petrov-Galerkin formulations enriched with adjoint residual-free bubbles,''
    with A. Russo.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 182, pp. 333-339 (2000).
  87. ``On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation,''
    with F.G. Valentin.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 190, pp. 1785-1800 (2000).
  88. ``On residual-free bubble finite element methods for the Helmholtz equation,''
    with T.G. Huntley.
    Bollettino di Geofisica teorica ed applicata, an International Journal of Earth Sciences
    Vol. 40, p. 83 (1999).
  89. ``Recent advances on two-level finite element methods,''
    with A. Nesliturk.
    In p. 211 of the
    Abstracts of the 5th U.S. National Congress on Computational Mechanics,
    Boulder, Colorado, August 1999.
  90. ``On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation,''
    with F.G. Valentin.
    In pp. 220-221 of the
    Abstracts of the 5th U.S. National Congress on Computational Mechanics,
    Boulder, Colorado, August 1999.
  91. ``Stabilized finite element methods,''
    with A. Russo.
    Proceedings of the 16th IMACS World Congress,
    Lausanne, August 21-25, 2000. Paper in CDROM 5 pages.
  92. ``Improved finite element computation of time-harmonic acoustics by discontinuous plane-wave enrichment,''
    with C. Farhat and I. Harari.
    EM 2000, Fourteenth Engineering Mechanics Conference, ASCE,
    Austin, Texas, May 21-24, 2000. Paper in CDROM 6 pages.
  93. ``A discontinuous finite element method for the Helmholtz equation,''
    with C. Farhat and I. Harari.
    European Congress on Computational Methods in Applied Sciences and Engineering,
    ECCOMAS 2000, Barcelona, Spain, September 11-14, 2000. Paper in CDROM 15 pages
  94. ``Streamline design of stability coefficients for the standard
    family of stabilized methods,''
    with I. Harari and S.P. Oliveira.
    ENCIT 2000, Porto Alegre, Brazil. Paper in CDROM 10 pages.
  95. ``Refining the submesh strategy in the two-level finite element method: application to the advection-diffusion equation,''
    with F.-N. Hwang.
    International Journal for Numerical Methods in Fluids,
    Vol. 39, pp. 161-187 (2002).
  96. ``On a two-level finite element method for the incompressible Navier-Stokes equations,''
    with A. Nesliturk.
    International Journal for Numerical Methods in Engineering,
    Vol. 52, pp. 433-453 (2001).
  97. ``Streamline design of stability parameters for advection-diffusion problems,''
    with I. Harari and S.P. Oliveira.
    Journal of Computational Physics,
    Vol. 171, pp. 115-131 (2001).
  98. ``The discontinuous enrichment method,''
    with C. Farhat and I. Harari.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 190, pp. 6455-6479 (2001).
  99. ``Stability of the residual free bubble method for bilinear finite elements on rectangular grids,''
    with L. Tobiska.
    IMA J. Numer. Anal.
    Vol. 22, pp. 73-87 (2002).
  100. ``A note on a recent study of stabilized finite element computations for heat conduction,''
    with I. Harari and S. Frey.
    Computational Mechanics
    Vol. 28, pp. 63-65 (2002).
  101. ``Pressure bubbles stabilization features in the Stokes problem,''
    with S.P. Oliveira
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 192, pp. 1929-1937 (2003).
  102. ``The Discontinuous Enrichment Method for Multi-Scale Analysis,''
    with C. Farhat and I. Harari,
    In p. 604 of the Proceedings of the Sixth World Congress on Computational
    Mechanics (WCCM VI)}, Beijing, China, September 5-10, 2004.
    Publisher: Tsinghua University Press & Springer Verlag.
  103. ``Evaluating the LCD algorithm for solving linear systems of equations
    arising from implicit SUPG formulation of compressible flows.''
    with L. Catabriga and A.L.G.A. Coutinho.
    International Journal for Numerical Methods in Engineering,
    Vol. 60, pp. 1513-1534 (2004).
  104. ``Towards multiscale functions: Enriching finite element spaces with local
    but not bubble-like functions,''
    with A.L. Madureira and F. Valentin.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 194, pp. 3006-3021 (2005).
  105. ``Convergence analysis of a multiscale finite element method
    for singularly perturbed problems,''
    with A.L. Madureira, L. Tobiska and F. Valentin.
    Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal,
    Vol. 4, pp. 839-866 (2005)
  106. ``Multiscale and residual-free bubble functions for reaction-advection-diffusion problems,''
    with J.V.A. Ramalho and F. Valentin,
    International Journal for Multiscale Computational Engineering,
    Vol. 3, pp. 297-312 (2005).
  107. ``A Multiscale Finite Element Method,''
    with A.L. Madureira and F. Valentin.
    ECCOMAS 2004 (P. Neittaanmaki et al. eds.) Jyvaskyla, Finland, 24-28 July, 2004.
  108. ``Developing multiscale functions for unsteady reaction-diffusion problems,''
    with J.V.A. Ramalho and F. Valentin,
    Proceedings of CILAMCE 2004, Recife, Brazil.
  109. ``Stabilized finite element methods,'' with G. Hauke and A. Masud.
    In pp. 127-139 Finite Element Methods: 1970's and Beyond (L.P. Franca, T.E. Tezduyar and A. Masud, eds.)
    CIMNE, Barcelona, Spain. ISBN 84-95999-49-8, 2004
  110. ``Revisiting stabilized finite element methods for the advective-diffusive equation,''
    with G. Hauke and A. Masud.
    Computer Methods in Applied Mechanics and Engineering,
    Vol. 195, pp. 1560-1572 (2006).
  111. ``A note on dynamic data driven wildfire modeling,"
    with J. Mandel, M. Chen, C. Johns, A. Puhalskii, J.L. Coen, C.C. Douglas, R. Kremens, A. Vodacek and W. Zhao.
    Lecture Notes in Computer Science 3038, Springer,
    pp. 725-731 (2004).
  112. ``Dynamic data driven wilfire modeling,"
    with J. Mandel, M. Chen, J.L. Coen, C.C. Douglas, C. Johns, R. Kremens,, A. Puhalskii, A. Vodacek and W. Zhao.
    Preprint
    (2004).
  113. ``Continuous Q1-Q1 Stokes elements stabilized with non-conforming null edge average velocity functions,"
    with S. Oliveira and M. Sarkis.
    Mathematical Models and Methods in Applied Sciences,
    Vol. 17, 439-459 (2007).
  114. ``Towards a dynamic data driven application system for wilfire simulation,"
    with J. Mandel, L.S. Bennethum, M.S. Chen, M.S. Chen, J.L. Coen, C.C. Douglas, C. Johns, M. Kim, A. Knyazev, R. Kremens,, V. Kulkarni, G. Qin, A. Vodacek, J. Wu, W. Zhao and A. Zornes.
    Lecture Notes in Computer Science 3515, Springer,
    pp. 632-639 (2005).

Last updated: February 17, 2006

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