Error analysis for finite element methods for steady natural convection problems
暂无分享,去创建一个
[1] G. D. Davis. Natural convection of air in a square cavity: A bench mark numerical solution , 1983 .
[2] S. Smale,et al. An Infinite Dimensional Version of Sard's Theorem , 1965 .
[3] P. Rabinowitz,et al. Existence and nonuniqueness of rectangular solutions of the Bénard problem , 1968 .
[4] S. Fučík,et al. Solvability of Nonlinear Equations and Boundary Value Problems , 1981 .
[5] R. Temam. Infinite Dimensional Dynamical Systems in Mechanics and Physics Springer Verlag , 1993 .
[6] Vivette Girault,et al. Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms , 1986, Springer Series in Computational Mathematics.
[7] Max Gunzburger,et al. Finite Element Methods for Viscous Incompressible Flows: A Guide to Theory, Practice, and Algorithms , 1989 .
[8] S. Chandrasekhar. Hydrodynamic and Hydromagnetic Stability , 1961 .
[9] J. Aubin. Applied Functional Analysis , 1979 .
[10] J. Peterson. On the finite element approximation of incompressible flows of an electrically conducting fluid , 1988 .
[11] Jack K. Hale,et al. Infinite dimensional dynamical systems , 1983 .
[12] Timothy Nigel Phillips,et al. Natural convection in an enclosed cavity , 1984 .
[13] William Layton,et al. An analysis of the finite element method for natural convection problems , 1990 .
[14] R. Temam,et al. Navier-Stokes equations: theory and numerical analysis: R. Teman North-Holland, Amsterdam and New York. 1977. 454 pp. US $45.00 , 1978 .
[15] Roger Temam,et al. Attractors for the Be´nard problem: existence and physical bounds on their fractal dimension , 1987 .
[16] P. Raviart. Finite element methods and Navier-Stokes equations , 1979 .
[17] R. Temam. Navier-Stokes Equations and Nonlinear Functional Analysis , 1987 .
[18] W. Rheinboldt,et al. Solution manifolds and submanifolds of parametrized equations and their discretization errors , 1984 .
[19] R. Temam,et al. Structure of the set of stationary solutions of the navier-stokes equations , 1977 .
[20] Multiple solutions for a problem in buoyancy induced flow , 1985 .
[21] W. Rheinboldt,et al. LOCAL ERROR ESTIMATES FOR PARAMETRIZED NONLINEAR EQUATIONS , 1985 .
[22] R. Viskanta,et al. Study of the effects of wall conductance on natural convection in differently oriented square cavities , 1984, Journal of Fluid Mechanics.
[23] P. Grisvard,et al. BEHAVIOR OF THE SOLUTIONS OF AN ELLIPTIC BOUNDARY VALUE PROBLEM IN A POLYGONAL OR POLYHEDRAL DOMAIN , 1976 .
[24] G. Mallinson,et al. Three-dimensional natural convection in a box: a numerical study , 1977, Journal of Fluid Mechanics.
[25] R. L. Sani,et al. Solution of the time-dependent incompressible Navier-Stokes and Boussinesq equations using the Galerkin finite element method , 1980 .