Engelman, M. S.; Sani, R. L.; Gresho, P. M.; Bercovier, M. Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements. (English) Zbl 0483.76013 Int. J. Numer. Methods Fluids 2, 25-42 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 42 Documents MSC: 76M99 Basic methods in fluid mechanics 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs Keywords:consistent vs. reduced integration penalty methods; quadrilateral and hexahedral elements; biquadratic; triquadratic velocity; linear pressure × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Gartling, Int. J. num. Meth. Engng 1 pp 73– (1973) [2] Hughes, J. Comp. Phys. 30 pp 1– (1979) [3] Sani, Int. j. numer. methods fluids 1 pp 17– (1981) [4] Sani, Int. j. numer. methods fluids 1 pp 171– (1981) [5] Bercovier, RAIRO Analyse Numerique 12 pp 211– (1978) [6] Malkus, Comp. Meth. Appl. Mech. Eng. 15 pp 63– (1978) [7] Bercovier, J. Comp. Phys. 30 pp 181– (1979) [8] ’RIP-methods for Stokesian flows’, TICOM Report 80-11, Texas Institute for Computational Mechanics, University of Texas at Austin, August (1980.). [9] and , ’Discrete LBB conditions for RIP-finite element methods’, TICOM Report 80-7, Texas Institute for Computational Mechanics, University of Texas at Austin, August (1980.). [10] Malkus, Int. J. Solids Structures 12 pp 731– (1976) [11] and , ’Analysis of some mixed finite element methods related to reduced integration’, Report 80.02 R (1980)., Dept. of Computer Science, Chambers University of Technology, Sweden. [12] , and , ’On a finite element procedure for nonlinear incompressible elasticity’, Symp. Hybrid and Mixed Finite Elements, Georgia Institute of Technology, April (1981.). [13] Leone, Int. J. num. Meth. Engng 14 pp 769– (1979) [14] ’Divergence free finite elements for incompressible fluid flows’, in preparation. [15] ’On the existence, uniqueness and approximation of saddle point problems arising from Lagrange multipliers’, RAIRO, R.2 Aout, 129 (1974.). [16] The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1978. 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.