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.