zbMATH — the first resource for mathematics

An ’upwind’ finite element scheme for two-dimensional convective transport equation. (English) Zbl 0353.65065

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
76R99 Diffusion and convection
Full Text: DOI
[1] and , ’On the solution of non-linear hyperbolic differential equations by finite differences’, Comm. Pure and Appl. Math. V, 243-243 (1952). · Zbl 0047.11704
[2] ’Survey of difference methods for non-steady fluid dynamics’, NCAR Technical Note 63-63, Boulder, Colorado, (1963).
[3] Lilly, U.S. Weather Bureau Monthly Weather Rev. 93 pp 1– (1964)
[4] Runchal, J. Mech. Eng. Sci 11 pp 445– (1969)
[5] Spalding, Int. J. num. Meth. Engng 4 pp 551– (1972)
[6] Gupta, Int. J. num. Meth. Engng 4 pp 560– (1973)
[7] Computational Fluid Dynamics, Hermosa Press, Albuquerque, U.S.A. 1972. · Zbl 0251.76002
[8] and , ’Numerical techniques in convection/diffusion problems’, 2nd Conf. Mathematics of Finite Elements and Applications, Brunel University, 1975.
[9] et al. Heat and Mass Transfer of Circulating Flows, Academic Press, London, 1969.
[10] and , ’ Viscous incompressible flow with special reference to non-Newtonian (plastic) fluids’, Chap. 2, Finite Elements in Fluid Mechanics, Wiley, London, 1975.
[11] Taylor, Computers and Fluids 1 pp 73– (1973)
[12] and , ’Newtonian and non-Newtonian viscous incompressible flow. Temperature induced flows. Finite element solutions’, 2nd Conf. Mathematics of Finite Elements and Applications, Brunel University, 1975.
[13] Christie, Int. J. num. Meth. Engng 10 pp 1389– (1976)
[14] Barrett, Quart. J. Mech. and Appl. Math. 27 pp 57– (1974)
[15] The Finite Element Method, McGraw-Hill, London, 1971.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.