An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations
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[1] Edriss S. Titi,et al. A remark on quasi-stationary approximate inertial manifolds for the Navier-Stokes equations , 1994 .
[2] Edriss S. Titi,et al. Preserving dissipation in approximate inertial forms for the Kuramoto-Sivashinsky equation , 1991 .
[3] Julia Novo Martín. Postproceso de métodos espectrales , 1998 .
[4] Roger Temam,et al. A nonlinear Galerkin method for the Navier-Stokes equations , 1990 .
[5] Richard E. Mortensen,et al. Infinite-Dimensional Dynamical Systems in Mechanics and Physics (Roger Temam) , 1991, SIAM Rev..
[6] Edriss S. Titi,et al. Postprocessing the Galerkin Method: a Novel Approach to Approximate Inertial Manifolds , 1998 .
[7] J. Hale. Asymptotic Behavior of Dissipative Systems , 1988 .
[8] M. Marion,et al. Nonlinear Galerkin methods and mixed finite elements: two-grid algorithms for the Navier-Stokes equations , 1994 .
[9] R. Temam,et al. Nonlinear Galerkin methods: The finite elements case , 1990 .
[10] Jinchao Xu. Two-grid Discretization Techniques for Linear and Nonlinear PDEs , 1996 .
[11] Edriss S. Titi,et al. C1Approximations of Inertial Manifolds for Dissipative Nonlinear Equations , 1996 .
[12] G. Sell,et al. On the computation of inertial manifolds , 1988 .
[13] R. Temam,et al. Nonlinear Galerkin methods , 1989 .
[14] Jinchao Xu,et al. Error estimates on a new nonlinear Galerkin method based on two-grid finite elements , 1995 .
[15] R. Temam. Navier-Stokes Equations , 1977 .
[16] D. Rose,et al. Analysis of a multilevel iterative method for nonlinear finite element equations , 1982 .
[17] I. Kevrekidis,et al. Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: analysis and computations , 1990 .
[18] Daniel B. Henry. Geometric Theory of Semilinear Parabolic Equations , 1989 .
[19] Linda M. Holt. Singularities produced in conormal wave interactions , 1995 .
[20] G. Sell,et al. Inertial manifolds for nonlinear evolutionary equations , 1988 .
[21] R. Temam,et al. Modelling of the interaction of small and large eddies in two dimensional turbulent flows , 1988 .
[22] Roger Temam,et al. The algebraic approximation of attractors: the finite dimensional case , 1988 .
[23] J. Douglas,et al. A Galerkin method for a nonlinear Dirichlet problem , 1975 .
[24] W. D. Evans,et al. PARTIAL DIFFERENTIAL EQUATIONS , 1941 .
[25] Bosco García-Archilla. Some Practical Experience with the Time Integration of Dissipative Equations , 1995 .
[26] Lois Mansfield,et al. On the Solution of Nonlinear Finite Element Systems , 1980 .
[27] M. Marion,et al. A class of numerical algorithms for large time integration: the nonlinear Galerkin methods , 1992 .
[28] George R. Sell,et al. Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations , 1989 .
[29] Roger Temam,et al. Subgrid modelling and the interaction of small and large wavelengths in turbulent flows , 1991 .
[30] Mary F. Wheeler,et al. Two-grid methods for mixed finite element approxi-mations of nonlinear parabolic equations , 1994 .
[31] Donald A. Jones,et al. On the effectiveness of the approximate inertial manifold—a computational study , 1995 .
[32] Edriss S. Titi,et al. On the rate of convergence of the nonlinear Galerkin methods , 1993 .
[33] Javier de Frutos,et al. Time integration of the non-linear Galerkin method , 1995 .
[34] Jie Shen. Long time stability and convergence for fully discrete nonlinear galerkin methods , 1990 .
[35] Javier de Frutos,et al. A postprocessed Galerkin method with Chebyshev or Legendre polynomials , 2000, Numerische Mathematik.
[36] R. Temam,et al. Attractors for the Navier-Stokes equations: Iocalization and approximation , 1989 .
[37] R. Rautmann. On the convergence rate of nonstationary Navier-Stokes approximations , 1980 .
[38] Hantaek Bae. Navier-Stokes equations , 1992 .
[39] Roger Temam,et al. Dynamical systems, turbulence and the numerical solution of the Navier-Stokes equations , 1989 .
[40] Shirley Dex,et al. JR 旅客販売総合システム(マルス)における運用及び管理について , 1991 .
[41] G. Karniadakis,et al. Generalized Stokes eigenfunctions: a new trial basis for the solution of incompressible Navier-Stokes equations , 1994 .
[42] David M. Sloan,et al. Numerical Solution of a Nonlinear Dissipative System Using a Pseudospectral Method and Inertial Manifolds , 1995, SIAM J. Sci. Comput..
[43] S. Agmon. Lectures on Elliptic Boundary Value Problems , 1965 .
[44] 王碧祥. APPROXIMATE INERTIAL MANIFOLDS TO THE NAVIER-STOKES EQUATIONS , 1994 .
[45] Jinchao Xu,et al. A Novel Two-Grid Method for Semilinear Elliptic Equations , 1994, SIAM J. Sci. Comput..
[46] Thierry Gallouët,et al. Nonlinear Schrödinger evolution equations , 1980 .
[47] L. E. Fraenkel,et al. NAVIER-STOKES EQUATIONS (Chicago Lectures in Mathematics) , 1990 .
[48] M. Marion,et al. On the construction of families of approximate inertial manifolds , 1992 .