Two-grid dimension reduction method of Crank-Nicolson mixed finite element solution coefficient vectors for the fourth-order extended Fisher-Kolmogorov equation
DOI10.1016/j.jmaa.2024.128168OpenAlexW4391424678WikidataQ128893501 ScholiaQ128893501MaRDI QIDQ6130369
Yihui Zeng, Zhen-Dong Luo, Yuejie Li, Fei Teng
Publication date: 2 April 2024
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.2024.128168
proper orthogonal decomposition methodfourth order extended Fisher-Kolmogorov equationtwo-grid reduced-dimension extrapolated Crank-Nicolson mixed finite element methodunconditional stability and error estimate
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Variational methods applied to PDEs (35A15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Extrapolation to the limit, deferred corrections (65B05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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