Model reduction on approximate inertial manifolds for NS equations through multilevel finite element method and hierarchical basis
type: Item
instance of: scholarly article
title: Model reduction on approximate inertial manifolds for NS equations through multilevel finite element method and hierarchical basis
DOI: 10.1007/978-3-030-94301-1_11
author: Muhammad Nauman Aslam
author: Nannan Dang
author: Riaz Ahmad
author: Jiazhong Zhang
publication date: 2022-10-06T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76B10
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 35R01
zbMATH DE Number: 7597336
zbMATH Keywords: approximate inertial manifolds
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: multilevel finite element method
zbMATH Keywords: fluid dynamics
zbMATH Keywords: numerical analysis
MaRDI profile type: Publication
full work available at URL: 978-3-030-94301-1 11
OpenAlex ID: W4300642376
cites work: Dimension reduction of dynamical systems: methods, models, applications
cites work: Methods for dimension reduction and their application in nonlinear dynamics
cites work: Error estimate for influence of model reduction of nonlinear dissipative autonomous dynamical system on long-term behaviours
cites work: Nonlinear order reduction of structural dynamic aircraft models.
cites work: Model reduction tools for nonlinear structural dynamics
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
cites work: On approximate inertial manifolds to the Navier-Stokes equations
cites work: A nonlinear Galerkin method for the Navier-Stokes equations
cites work: On a construction of approximate inertial manifolds for second order in time evolution equations
cites work: Spectral properties of dynamical systems, model reduction and decompositions
cites work: Inertial manifolds for retarded second order in time evolution equations
cites work: Model reduction on inertial manifolds for N-S equations approached by multilevel finite element method
cites work: Invariant manifolds for flows in Banach spaces
cites work: Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations
cites work: Modelling of the interaction of small and large eddies in two dimensional turbulent flows
cites work: Exact model reduction by a slow-fast decomposition of nonlinear mechanical systems
cites work: Modelling of the interaction of lower and higher modes in two-dimensional MHD-equations
cites work: Nonlinear Galerkin method for low-dimensional modeling of fluid dynamic system using POD modes
cites work: The post-processed Galerkin method applied to non-linear shell vibrations
cites work: A stabilized finite element method for the incompressible Navier-Stokes equations using a hierarchical basis
cites work: Natural hierarchical refinement for finite element methods
cites work: The hierarchical basis multigrid method
description: scientific article; zbMATH DE number 7597336