Free Access
Volume 34, Number 6, November/December 2000
Page(s) 1165 - 1188
Published online 15 April 2002
  1. L. Angermann, Error Estimate for the Finite-Element Solution of an Elliptic Singularly Perturbed Problem. IMA J. Numer. Anal. 15 (1995) 161-196. [CrossRef] [MathSciNet] [Google Scholar]
  2. R.E. Bank, J.F. Bürgler, W. Fichtner and R.K. Smith, Some Upwinding Techniques for Finite Element Approximations of Convection-Diffusion Equations. Numer. Math. 58 (1990) 185-202. [CrossRef] [MathSciNet] [Google Scholar]
  3. R.E. Bank, W.M. Jr. Coughran and L.C. Cowsar, The Finite Volume Scharfetter-Gummel Method for Steady Convection Diffusion Equations. Comput. Visual Sci. 1 (1998) 123-136. [CrossRef] [Google Scholar]
  4. J. Baranger, J.-F. Maitre and F. Oudin, Connection between Finite Volume and Mixed Finite Element Methods. RAIRO Modél. Math. Anal. Numér. 30 (1996) 445-465. [Google Scholar]
  5. D. Braess, Finite Elemente. Springer, Berlin (1992). [Google Scholar]
  6. P.G. Ciarlet, Basic Error Estimates for Elliptic Problems, in Handbook of Numerical Analysis, Vol. II, Part 1, P.G. Ciarlet and J.L. Lions Eds., Elsevier, Amsterdam (1991) 17-351. [Google Scholar]
  7. R. Eymard, T. Gallouet and R. Herbin, Convergence of Finite Volume Schemes for Semilinear Convection Diffusion Equations. Numer. Math. 1 (1999) 1-26. [Google Scholar]
  8. E. Gatti, S. Micheletti and R. Sacco, A New Galerkin Framework for the Drift-Diffusion Equation in Semiconductors. East-West J. Numer. Math. 6 (1998) 101-135. [MathSciNet] [Google Scholar]
  9. B. Heinrich, Finite Difference Methods on Irregular Networks. A Generalized Approach to Second Order Problems. Akademie, Berlin (1987). [Google Scholar]
  10. R. Herbin, An Error Estimate for a Finite Volume Scheme for a Diffusion-Convection Problem on a Triangular Mesh. Numer. Methods Partial Differential Equations 11 (1995) 165-173. [Google Scholar]
  11. R.D. Lazarov and I.D. Mishev, Finite Volume Methods for Reaction-Diffusion Problems, in Finite Volumes for Complex Applications, F. Benkhaldoun and R. Vilsmeier Eds., Hermes, Paris (1996) 231-240. [Google Scholar]
  12. J.J.H. Miller and S. Wang, A New Non-Conforming Petrov-Galerkin Finite Element Method with Triangular Elements for an Advection-Diffusion Problem. IMA J. Numer. Anal. 14 (1994) 257-276. [CrossRef] [MathSciNet] [Google Scholar]
  13. I.D. Mishev, Finite Volume and Finite Volume Element Methods for Nonsymmetric Problems. Ph.D. thesis, Texas A&M University (1996). [Google Scholar]
  14. K.W. Morton, Numerical Solution of Convection-Diffusion Problems. Chapman and Hall, London (1996). [Google Scholar]
  15. K.W. Morton, M. Stynes and E. Süli, Analysis of a Cell-Vertex Finite Volume Method for Convection-Diffusion Problems. Math. Comp. 66 (1997) 1369-1406. [Google Scholar]
  16. H.G. Roos, M. Stynes and L. Tobiska, Numerical Methods for Singularly Perturbed Differential Equations. Springer, London (1996). [Google Scholar]
  17. R. Sacco and M. Stynes, Finite Element Methods for Convection-Diffusion Problems Using Exponential Splines on Triangles. Comput. Math. Appl. 35 (1998) 35-45. [CrossRef] [MathSciNet] [Google Scholar]
  18. R. Sacco, E. Gatti and L. Gotusso, A Nonconforming Exponentially Fitted Finite Element Method for Two-Dimensional Drift-Diffusion Models in Semiconductors. Numer. Methods Partial Differential Equations 15 (1999) 133-150. [CrossRef] [MathSciNet] [Google Scholar]
  19. H.-P. Scheffler and R. Vanselow, Convergence Analysis of a Cell-Centered FVM, in Finite Volumes for Complex Applications II, R. Vilsmeier, F. Benkhaldoun and D. Hänel Eds., Hermes, Paris (1999) 181-188. [Google Scholar]
  20. L.L. Schumaker, Spline Functions: Basic Theory. Wiley, New York (1981). [Google Scholar]
  21. S. Selberherr, Analysis and Simulation of Semiconductor Devices. Springer, Wien (1984). [Google Scholar]
  22. G. Strang, Variational Crimes in the Finite Element Method, in The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, A.K. Aziz Ed., Academic Press (1972) 689-710. [Google Scholar]
  23. R. Vanselow and H.-P. Scheffler, Convergence Analysis of a Finite Volume Method via a New Nonconforming Finite Element Method. Numer. Methods Partial Differential Equations 14 (1998) 213-231. [CrossRef] [MathSciNet] [Google Scholar]
  24. R. Vanselow, Convergence Analysis for an Exponentially Fitted FVM. Preprint MATH-NM-09-99, TU Dresden (1999). [Google Scholar]
  25. J. Xu and L. Zikatanov, A Monotone Finite Element Scheme for Convection-Diffusion Equations. Math. Comp. 68 (1999) 1429-1446. [CrossRef] [MathSciNet] [Google Scholar]

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