On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods (I) least square formulations and conjugate gradient solution of the continuous problems

作者: M.O. Bristeau , O. Pironneau , R. Glowinski , J. Periaux , P. Perrier

DOI: 10.1016/0045-7825(79)90048-3

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摘要: … In this paper we only discuss the treatment of continuous problems. The solution of the corresponding discrete problems (by finite element approximations) will be discussed in [ IO], [ …

参考文章(39)
M R Osborne, G A Watson, Nonlinear approximation problems in vector norms Springer Berlin Heidelberg. pp. 117- 132 ,(1978) , 10.1007/BFB0067701
P. Lelong, Jacques Louis Lions, Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles Gauthier-Villars : Dunod. ,(1968)
Roger Temam, On the theory and numerical analysis of the Navier-Stokes equations Dept. of Mathematics, University of Maryland. ,(1973)
Antony Jameson, NUMERICAL SOLUTION OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF MIXED TYPE Numerical Solution of Partial Differential Equations–III#R##N#Proceedings of the Third Symposium on the Numerical Solution of Partial Differential Equations, SYNSPADE 1975, Held at the University of Maryland, College Park, Maryland, May 19–24, 1975: SYNSPADE 1975. pp. 275- 320 ,(1976) , 10.1016/B978-0-12-358503-5.50014-2
Richard Courant, K. O. Friedrichs, Supersonic flow and shock waves ,(1948)
Charles S Beightler, Douglass J Wilde, Foundations of Optimization. ,(1967)
Jacques Louis Lions, Enrico Magenes, Non-homogeneous boundary value problems and applications ,(1972)