Proper orthogonal decomposition-based reduced-order stabilized mixed finite volume element extrapolating model for the nonstationary incompressible Boussinesq equations

DOI10.1016/j.jmaa.2014.12.011zbMath1311.76083OpenAlexW1983624519MaRDI QIDQ486556

Zhen-Dong Luo

Publication date: 16 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.12.011

zbMATH Keywords

error estimateproper orthogonal decomposition methodnonstationary incompressible Boussinesq equationsreduced-order stabilized mixed finite volume element extrapolating model

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Cites Work

• Unnamed Item
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• A reduced-order extrapolation algorithm based on SFVE method and POD technique for non-stationary Stokes equations
• A POD-based reduced-order FD extrapolating algorithm for traffic flow
• A POD-based reduced-order finite difference extrapolating model for the non-stationary incompressible Boussinesq equations
• Model order reduction for linear and nonlinear systems: a system-theoretic perspective
• A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations
• The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
• A reduced MFE formulation based on POD for the non-stationary conduction-convection problems
• A fully discrete stabilized mixed finite volume element formulation for the non-stationary conduction-convection problem
• A finite volume element formulation and error analysis for the non-stationary conduction-convection problem
• A penalty finite volume method for the transient Navier-Stokes equations
• A postprocessing finite volume element method for time-dependent Stokes equations
• Principal component analysis.
• A new reduced-order FVE algorithm based on POD method for viscoelastic equations
• Finite difference scheme based on proper orthogonal decomposition for the nonstationary Navier-Stokes equations
• On the relationship between finite volume and finite element methods applied to the Stokes equations
• A reduced stabilized mixed finite element formulation based on proper orthogonal decomposition for the non-stationary Navier-Stokes equations
• On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
• Numerical solution of parametrized Navier–Stokes equations by reduced basis methods
• An optimizing reduced PLSMFE formulation for non-stationary conduction-convection problems
• Some Error Estimates for the Box Method
• Convergence of Finite Volume Schemes for Poisson’s Equation on Nonuniform Meshes
• Mixed and Hybrid Finite Element Methods
• Finite element methods for nonlinear parabolic equations
• Turbulence, Coherent Structures, Dynamical Systems and Symmetry
• A Covolume Method Based on Rotated Bilinears for the Generalized Stokes Problem
• An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes
• Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
• Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
• Computational predictability of time‐dependent natural convection flows in enclosures (including a benchmark solution)
• Analysis of the cell-centred finite volume method for the diffusion equation