A reduced second-order time accurate finite element formulation based on POD for parabolic equations

DOI10.1360/012010-614zbMath1488.65445OpenAlexW2331095577MaRDI QIDQ5017668

Ping Sun, Jing An, Zheng-hui Xie, Jing Chen, Zhen-Dong Luo

Publication date: 17 December 2021

Published in: SCIENTIA SINICA Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1360/012010-614

zbMATH Keywords

proper orthogonal decompositionerror analysisparabolic equationsCrank-Nicolson finite element formulation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

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A POD-based reduced-order FD extrapolating algorithm for traffic flow ⋮ Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations ⋮ Reduced-order proper orthogonal decomposition extrapolating finite volume element format for two-dimensional hyperbolic equations ⋮ A reduced-order extrapolation central difference scheme based on POD for two-dimensional fourth-order hyperbolic equations ⋮ A POD reduced-order finite difference time-domain extrapolating scheme for the 2D Maxwell equations in a lossy medium ⋮ A POD-based reduced-order TSCFE extrapolation iterative format for two-dimensional heat equations

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