A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem

DOI10.1186/s13660-017-1399-7zbMath1364.65230OpenAlexW2618133601WikidataQ33845183 ScholiaQ33845183MaRDI QIDQ530241

Hong Xia, Zhen-Dong Luo

Publication date: 9 June 2017

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

Full work available at URL: https://doi.org/10.1186/s13660-017-1399-7

zbMATH Keywords

proper orthogonal decomposition techniquestabilized mixed finite element reduced-order extrapolation modelthe existence and uniqueness and the stability as well as the convergenceunsteady conduction-convection problem

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (8)

A reduced-order extrapolated Crank-Nicolson finite spectral element method based on POD for the 2D non-stationary Boussinesq equations ⋮ A reduced-order characteristic finite element method based on POD for optimal control problem governed by convection-diffusion equation ⋮ Reduced-order finite element approximation based on POD for the parabolic optimal control problem ⋮ A reduced-order Schwarz domain decomposition method based on POD for the convection-diffusion equation ⋮ A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions ⋮ A reduced-order finite element method based on POD for the incompressible miscible displacement problem ⋮ Numerical simulation for a incompressible miscible displacement problem using a reduced-order finite element method based on POD technique ⋮ A reduced-order Weak Galerkin finite element algorithm based on POD technique for parabolic problem on polytopal mesh

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