The Reduced-Order Extrapolating Method about the Crank-Nicolson Finite Element Solution Coefficient Vectors for Parabolic Type Equation
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- Luo, Zhendong & Teng, Fei & Chen, Jing, 2018. "A POD-based reduced-order Crank–Nicolson finite volume element extrapolating algorithm for 2D Sobolev equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 146(C), pages 118-133.
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Cited by:
- Yuejie Li & Zhendong Luo & Changan Liu, 2023. "The Mixed Finite Element Reduced-Dimension Technique with Unchanged Basis Functions for Hydrodynamic Equation," Mathematics, MDPI, vol. 11(4), pages 1-17, February.
- Xiaoyong Yang & Zhendong Luo, 2022. "An Unchanged Basis Function and Preserving Accuracy Crank–Nicolson Finite Element Reduced-Dimension Method for Symmetric Tempered Fractional Diffusion Equation," Mathematics, MDPI, vol. 10(19), pages 1-13, October.
- Zhendong Luo & Yuejie Li, 2022. "A Preserving Precision Mixed Finite Element Dimensionality Reduction Method for Unsaturated Flow Problem," Mathematics, MDPI, vol. 10(22), pages 1-17, November.
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Keywords
reduced-order extrapolating Crank-Nicolson finite element method; parabolic type partial differential equation; existence and stability as well as error estimates;All these keywords.
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