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Nie, Q.H., Song, X.D., Liu, S., et al. (2025) Advances in Application of Finite Element Numerical Simulations to Electrocatalytic Reduction Systems of Energy-Related Small Molecules. Clean Coal Technology, 31, 1-13. (In Chinese)

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• TITLE: Economic Cascadic Tensor Multigrid Method Based on Finite Element Discretization for 3D Partial Differential Equations

  AUTHORS: Jingyu Huang, Chenliang Li

  KEYWORDS: Partial Differential Equations, Economic Cascadic Tensor Multigrid Method, Tucker Product, Finite Element Method

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.16 No.2, June 29, 2026

  ABSTRACT: In this paper, based on Tucker product tensor form, we present an economic cascadic tensor multigrid method(ECTMG) for the 3D partial differential equations discretized by the finite element method. Meanwhile, we provide the convergence analysis of the new method. Finally, we verify the effectiveness of the new method through some numerical examples.