A reduced-order extrapolation algorithm based on CNLSMFE formulation and POD technique for two-dimensional Sobolev equations

DOI10.1007/s11766-014-3059-8zbMath1313.65307OpenAlexW2145519104MaRDI QIDQ2514960

Fei Teng, Qun Liu, Zhen-Dong Luo

Publication date: 11 February 2015

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-014-3059-8

zbMATH Keywords

numerical exampleSobolev equationsproper orthogonal decomposition techniqueCrank-Nicolson least-squares mixed finite element formulationreduced-order extrapolation algorithm

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (10)

The reduced-dimension technique for the unknown solution coefficient vectors in the Crank-Nicolson finite element method for the Sobolev equation ⋮ An optimized finite element extrapolating method for 2D viscoelastic wave equation ⋮ 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 ⋮ An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation ⋮ A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem ⋮ 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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