Inertial Manifolds and Multigrid Methods
From MaRDI portal
Publication:3202549
DOI10.1137/0521009zbMath0715.35039OpenAlexW2071805662MaRDI QIDQ3202549
Publication date: 1990
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0521009
Related Items (61)
Nonlinear Galerkin method in the finite difference case and wavelet-like incremental unknowns ⋮ Multilevel finite volume methods and boundary conditions for geophysical flows ⋮ Finite-dimensional behavior in dissipative partial differential equations ⋮ The post-processed Galerkin method applied to non-linear shell vibrations ⋮ Nonlinear galerkin methods using hierarchical almost-orthogonal finite elements bases ⋮ Implementation of finite element nonlinear Galerkin methods using hierarchical bases ⋮ Implementation and numerical analysis of the nonlinear Galerkin methods with finite elements discretization ⋮ A parallel spectral Fourier-Nonlinear Galerkin algorithm for simulation of turbulence ⋮ A finite difference scheme for computing inertial manifolds ⋮ Equation-based interpolation and incremental unknowns for solving the three-dimensional Helmholtz equation ⋮ Dynamical multilevel schemes for the solution of evolution equations by hierarchical finite element discretization ⋮ On the effectiveness of the approximate inertial manifold -- a computational study ⋮ The nonlinear Galerkin method: A multiscale method applied to the simulation of homogeneous turbulent flows ⋮ The matricial framework for the incremental unknowns method ⋮ Finite element multilevel approximation of a function and applications ⋮ Stability Analysis of the Nonlinear Galerkin Method ⋮ Higher-order incremental unknowns, hiearchical basis, and nonlinear dissipative evolutionary equations ⋮ Solution of generalized Stokes problems using hierarchical methods and incremental unknowns ⋮ Preconditioned Newton methods using incremental unknowns methods for the resolution of a steady-state Navier-Stokes-like problem ⋮ \(\theta\) scheme with two dimensional wavelet-like incremental unknowns for a class of porous medium diffusion-type equations ⋮ Unnamed Item ⋮ The Navier-Stokes equations in the vorticity-velocity formulation: The two-dimensional case ⋮ A nonlinear adaptative multiresolution method in finite differences with incremental unknowns ⋮ Unnamed Item ⋮ Finite volume discretization and multilevel methods in flow problems ⋮ A priori analysis of multilevel finite volume approximation of 1D convective Cahn-Hilliard equation ⋮ Validated numerical approximation of stable manifolds for parabolic partial differential equations ⋮ Finite volume multilevel approximation of the shallow water equations ⋮ On the Rate of Convergence of the Nonlinear Galerkin Methods ⋮ Nonlinear Galerkin method for low-dimensional modeling of fluid dynamic system using POD modes ⋮ The nonlinear Galerkin method in computational fluid dynamics ⋮ Chaos in the lid-driven square cavity ⋮ A two-grid finite difference method for the primitive equations of the ocean ⋮ Incremental unknowns in three-dimensional stationary problem ⋮ Nonlinear Galerkin methods for a system of PDEs with Turing instabilities ⋮ Numerical solutions of the Navier-Stokes equations using wavelet-like incremental unknowns ⋮ Determining finite volume elements for the 2D Navier-Stokes equations ⋮ An approximate inertial manifold for computing Burgers' equation ⋮ Incremental unknowns method and compact schemes ⋮ Incremental unknowns for convection-diffusion equations ⋮ Aperiodic, chaotic lid-driven square cavity flows ⋮ Preconditioning analysis of nonuniform incremental unknowns method for two dimensional elliptic problems ⋮ Algebraic conditioning analysis of the incremental unknowns preconditioner ⋮ Preconditioning analysis of the one dimensional incremental unknowns method on nonuniform meshes ⋮ Separation of variables in the Stokes problem application to its finite element multiscale approximation ⋮ Implementation of a modified Marder-Weitzner method for solving nonlinear eigenvalue problems ⋮ A triple level finite element method for large eddy simulations ⋮ Incremental unknowns method based on the \(\theta \)-scheme for time-dependent convection-diffusion equations ⋮ Incremental unknowns for solving partial differential equations ⋮ A nonlinear Galerkin method for the Navier-Stokes equations ⋮ Incremental unknowns, multilevel methods and the numerical simulation of turbulence ⋮ Nonlinear hybrid procedures and fixed point iterations ⋮ Incremental unknowns on nonuniform meshes ⋮ Unnamed Item ⋮ A second-order scheme for the Navier-Stokes equations: Application to the driven-cavity problem ⋮ The incremental unknown method. I ⋮ The incremental unknown method. II ⋮ Stability of Galerkin and inertial algorithms with variable time step size ⋮ Incremental unknowns and graph techniques in three space dimensions ⋮ Block incremental unknowns for anisotropic elliptic equations ⋮ Computational efficiency and approximate inertial manifolds for a Bénard convection system
This page was built for publication: Inertial Manifolds and Multigrid Methods