A POD-based reduced-order TSCFE extrapolation iterative format for two-dimensional heat equations

DOI10.1186/s13661-015-0320-xzbMath1411.74060OpenAlexW2026295830WikidataQ59435459 ScholiaQ59435459MaRDI QIDQ2342484

Zhen-Dong Luo

Publication date: 28 April 2015

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0320-x

zbMATH Keywords

error estimateproper orthogonal decomposition techniquereduced-order time-space finite element extrapolation iterative formattwo-dimensional heat equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Finite volume methods applied to problems in solid mechanics (74S10)

Related Items (7)

The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows ⋮ An optimized finite difference Crank-Nicolson iterative scheme for the 2D Sobolev equation ⋮ Proper orthogonal decomposition reduced-order extrapolation continuous space-time finite element method for the two-dimensional unsteady Stokes equation ⋮ A reduced‐order extrapolating space–time continuous finite element method for the 2D Sobolev equation ⋮ A reduced-order extrapolated finite difference iterative scheme based on POD method for 2D Sobolev equation ⋮ A REDUCED-ORDER EXTRAPOLATION SPECTRAL-FINITE DIFFERENCE SCHEME BASED ON THE POD METHOD FOR 2D SECOND-ORDER HYPERBOLIC EQUATIONS ⋮ A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations

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