Nguyen, H.; Reynen, J. A space-time least-square finite element scheme for advection-diffusion equations. (English) Zbl 0517.76089 Comput. Methods Appl. Mech. Eng. 42, 331-342 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 37 Documents MSC: 76R99 Diffusion and convection 76M99 Basic methods in fluid mechanics 65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs Keywords:space-time least-square finite element scheme; advection-diffusion problems; moderate to high Peclet numbers; eliminate spurious oscillations; steady-state solution as asymptotic transient solution; linear elements; bilinear elements; accuracy; stability PDFBibTeX XMLCite \textit{H. Nguyen} and \textit{J. Reynen}, Comput. Methods Appl. Mech. Eng. 42, 331--342 (1984; Zbl 0517.76089) Full Text: DOI References: [1] Adam, Y., Finite difference methods for convective-diffusive equations, (Introduction to Computational Fluid Dynamics. 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Engrg., 12, 1764-1771 (1978) · Zbl 0391.65034 [16] Nguyen, H.; Reynen, J., A space-time finite element approach to Burgers’ equation, (Presentation at 2nd Internat. Conf. Numerical Methods for Nonlinear Problems. Presentation at 2nd Internat. Conf. Numerical Methods for Nonlinear Problems, Barcelon (April 1984)) · Zbl 0574.76053 [17] Raithby, G. D., Skew upstream differencing schemes for problems involving fluid flow, Comput. Meths. Appl. Mech. Engrg., 9, 153-164 (1976) · Zbl 0347.76066 [18] Griffiths, D. F.; Mitchell, A. R., On generating upwind finite element methods, (Hughes, T. J.R., Finite Element Methods for Convection Dominated Flows, AMD-Vol. 34 (1979), ASME: ASME New York) · Zbl 0423.76069 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.