DOI10.1088/0951-7715/4/3/001zbMath0734.65080OpenAlexW2012501207MaRDI QIDQ3361842
Ciprian Foias, Edriss S. Titi, Ioannis G. Kevrekidis, Michael S. Jolly
Publication date: 1991
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: http://purl.umn.edu/2375
Reduced-order models for parameter dependent geometries based on shape sensitivity analysis,
Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations,
Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations,
Higher-order incremental unknowns, hiearchical basis, and nonlinear dissipative evolutionary equations,
A new nonlinear Galerkin finite element method for the computation of reaction diffusion equations,
Approximation of stationary statistical properties of the three dimensional autonomous planetary geostrophic equations of large-scale ocean circulation,
A nonlinear Galerkin mixed element method and a posteriori error estimator for the stationary Navier-Stokes equations,
On the stability and extension of reduced-order Galerkin models in incompressible flows. A numerical study of vortex shedding,
Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction,
On the Rate of Convergence of the Nonlinear Galerkin Methods,
An efficient second order in time scheme for approximating long time statistical properties of the two-dimensional Navier-Stokes equations,
On the behavior of attractors under finite difference approximation,
On some dissipative fully discrete nonlinear Galerkin schemes for the Kuramoto-Sivashinsky equation,
A spectral viscosity method for correcting the long-term behavior of POD models.,
Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations,
Determining finite volume elements for the 2D Navier-Stokes equations,
Shape sensitivity analysis in flow models using a finite-difference approach,
Approximation of stationary statistical properties of dissipative dynamical systems: Time discretization,
Holistic discretization ensures fidelity to Burgers' equation,
Equation-free/Galerkin-free POD-assisted computation of incompressible flows,
APPROXIMATION OF THE STATIONARY STATISTICAL PROPERTIES OF THE DYNAMICAL SYSTEM GENERATED BY THE TWO-DIMENSIONAL RAYLEIGH–BÉNARD CONVECTION PROBLEM,
Long Time Stability of High Order MultiStep Numerical Schemes for Two-Dimensional Incompressible Navier--Stokes Equations,
Nonlinear Galerkin mixed element methods for stationary incompressible magnetohydrodynamics,
Approximation of stationary statistical properties of the three-dimensional primitive equations of large-scale ocean and atmosphere dynamics,
Approximating stationary statistical properties,
Bifurcations of finite difference schemes and their approximate inertial forms,
A nonlinear Galerkin/Petrov-least squares mixed element method for the stationary Navier-Stokes equations.,
Numerical algorithms for stationary statistical properties of dissipative dynamical systems
