RAIRO. Anal. numér.
Volume 15, Number 1, 1981
|Page(s)||3 - 25|
|Published online||31 January 2017|
- 1. K. BABA and S. YOSHII, An upwind scheme for convective diffusion equation by finite element method, Proceedings of VIIIth International Congress on Application of Mathematics in Engineering, Weimar/DDR, 1978. [Zbl: 0386.76067]
- 2. J. H. BRAMBLE and S. R. HILBERT, Bounds for a class of linear functionals with applications to Hermite interpolation, Numer. Math., 16 (1971), 362-369. [EuDML: 132041] [MR: 290524] [Zbl: 0214.41405]
- 3. P. G. CIARLET and P. A. RAVIART, General Lagrange and Hermite interpolationin Rn with applications to finite element methods, Arch. Rational Mech. AnaL,46 (1971), 177-199. [MR: 336957] [Zbl: 0243.41004]
- 4. P. G. CIARLET and P. A. RAVIART, Maximum principle and uniform convergence for the finite element method, Computer Methods in Applied Mechanics and Engineering, 2 (1973), 17-31. [MR: 375802] [Zbl: 0251.65069]
- 5. H. FUJII, Some remarks on finite element analysis of time-dependent field problems,Theory and practice in finite element structural analysis, ed. by Yamada, Y. and Gallagher, R. H., 91-106, Univ. of Tokyo Press, Tokyo, 1973. [Zbl: 0373.65047]
- 6. R. GORENFLO, Energy conserving discretizations of diffusion equations, Paper submitted for publication in the Proceedings of the Conference on Numerical Methods in Keszthely/Hungary, 1977. [Zbl: 0466.76086]
- 7. F. C. HEINRICH, P. S. HUYAKORN, O. C. ZIENKIEWICZ and A. R. MITCHELL, An " upwind "finite element scheme for two dimensional convective-transport equation,Int. J. Num. Meth. Engng., 11 (1977), 131-143. [Zbl: 0353.65065]
- 8. F. C. HEINRICH and O. C. ZIENKIEWICZ, The finite element method and " upwinding " techniques in the numerical solution of confection dominated flow problems, Preprint for the ASME winter annual meeting on fini te element methods for convection dominated flows, 1979. [Zbl: 0436.76062]
- 9. T. IKEDA, Artificial viscosity infinite element approximations to the diffusion equation with drift terms, to appear in Lecture Notes in Num. Appl. Anal., 2. [Zbl: 0468.76087]
- 10. H. KANAYAMA, Discrete models for salinity distribution in a bay-Conservation law and maximum principle, to appear in Theoretical and Applied Mechanics, 28.
- 11. F. KIKUCHI, The discrete maximum principle and artificial viscosity in finite element approximations to convective diffusion equations, Institute of Space and Aeronautical Science, University of Tokyo, Report n° 550 (1977).
- 12. M. TABATA, A finite element approximation corresponding to the upwind finite differencing, Memoirs of Numerical Mathematics, 4 (1977), 47-63. [MR: 448957] [Zbl: 0358.65102]
- 13. M. TABATA, Uniform convergence of the upwind finite element approximation for semilinear parabolic problems, J. Math. Kyoto Univ., 18 (1978), 327-351. [MR: 495024] [Zbl: 0391.65038]
- 14. M. TABATA, $L^\infty $-analysis of the finite element method, Lecture Notes in Num. Appl. Anal, 1 (1979) 25-62, Kinokuniya, Tokyo. [MR: 690436] [Zbl: 0458.65096]
- 15. M. TABATA, Some applications of the upwind finite element method, Theoretical and Applied Mechanics, 27 (1979), 277-282, Univ. of Tokyo Press, Tokyo.
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