The POD-based reduced-dimension study on the two-grid finite element method for the nonlinear time-fractional wave equation

The POD-based reduced-dimension study on the two-grid finite element method for the nonlinear time-fractional wave equation

The main purpose of this paper was to study the reduced-dimension of unknown classical two-grid finite element (CTGFE) solution coefficient vectors for the nonlinear time-fractional wave (NTFW) equation by using proper orthogonal decomposition (POD). For this purpose, a CTGFE method with uncondition...

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Bibliographic Details
Main Authors: Liang He, Yihui Sun, Zhenglong Chen, Fei Teng, Chao Shen, Zhendong Luo
Format: Article
Language:English
Published: AIMS Press 2025-02-01
Series:AIMS Mathematics
Subjects:
nonlinear time-fractional wave equation
proper orthogonal decomposition
two-grid finite element method
reduced-dimension two-grid finite element method
existence
stability
error estimate
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025158
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