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Revue Européenne des Éléments Finis Volume 1, 1992 - Issue 3
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Original Articles

On the Finite Element Modeling of the Scalar Transport Equation

Robert L. Sani Department of Chemical Engineering, University of Colorado, Boulder, Colorado
&
Philip M. Gresho Lawrence Livermore National Lab, Livermore, California, USA
Pages 253-277 | Published online: 31 May 2012

References

  • Finlayson , B. and Scriven , L. E. 1966 . “The Method of Weighted Residuals—A Review,” . Appl Mech. Reviews , 10 No. 9, 735
  • Gresho , P. M. , Chan , S. , Upson , C. and Lee , R. 1984 . “A Modified Finite Element Method for Solving the Time-dependent Incompressible Navier-Stokes Equations,” . Int'l. J. Num. Meth. in Fluids , 4 : 557 – 598 . Part 1: Theory, Part 2: Applications, 4, 619
  • Gresho , P. M. , Lee , R. L. , Chan , S. and Sani , R. L. 1980 . “A Comparison of Several Conservation Forms for the Finite Element Formulations of the Incompressible Navier-Stokes or Boussinesq Equations,” Proceedings of Third Int'l. Conf. on Finite Element Flow Problems, Banff, Canada ” .
  • Gresho , P. M. and Sani , R. L. 1987 . “On Pressure Boundary Conditions for the Incompressible Navier-Stokes Equations,” . Int'l. J. Num. Meth. Fluids , 7 : 1111 – 1145 .
  • Hughes , T. J. R. and Brooks , A. 1983 . “A Theoretical Framework for Petrov-Galerkin Methods with Discontinuous Weighting Functions: Application to the Streamline Upwind Procedure,” . In Finite Elements in Fluids Edited by: Gallagher , R. 4 Wiley
  • Hughes , T. J. R. , Franca , L. P. and Balestra , M. 1986 . “A New Finite Element Formulation for Computational Fluid Dynamics: V.,” . Comp. Meth. in Appl Mech. and Engng. , 59 : 85 – 99 .
  • Jiang , B. 1991 . “The Li Finite Element Method for Pure Convection Problems,” . NASA Tech. Memor. , 103773
  • Jiang , B. 1992 . “A Least Squares Finite Element Method for Incompressible Navier-Stokes Problems,” . Int'l. J. Num. Meth. in Fluids , 14 : 843 – 859 .
  • Mitchell , A. R. and Wait , R. 1977 . The Finite Element Method in Partial Differential Equations London : John Wiley .
  • Mizukami , A. 1983 . “A Stream Function-Vorticity Finite Element Formulation for Navier-Stokes Equations in Multi-Connected Domains,” . Int'l. J. Num. Meth. Eng. , 19 : 1403 – 9 .
  • Swartz , B. and Wendroff , B. 1969 . “Generalized Finite-Difference Schemes,” . Math, of Comp. , 23 : 37 – 49 . No. 105
  • Tezduyar , T. E. 1992 . “Stabilized Finite Element Formulations for Incompressible Flow Computations,” . Adv. Appl. Mech. , 28 : 1 – 43 .

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