A dimension reduction method of two‐grid finite element solution coefficient vectors for the Allen–Cahn equation: A dimension reduction method of two-grid finite element solution coefficient vectors for the Allen-Cahn equation

Authors: Yuejie Li, Fei Teng, Yihui Zeng, Zhendong Luo

Source: Mathematical Methods in the Applied Sciences. 48:678-698

Subject Terms: Error bounds for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, two-grid Crank-Nicolson finite element method, unconditional stability and errors, Spectral, collocation and related methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, 0101 mathematics, nonlinear Allen-Cahn equation, 01 natural sciences, reduced-dimension extrapolated two-grid Crank-Nicolson finite element method

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