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Economic Cascadic Tensor Multigrid Method Based on Finite Element Discretization for 3D Partial Differential Equations
School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
- 1 School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
- 2 School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
American Journal of Computational Mathematics·Volume 16 (2026)·Pages 143–150·Published 2 June 2026·DOI10.4236/ajcm.2026.162008
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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.
KeywordsPartial Differential EquationsEconomic Cascadic Tensor Multigrid MethodTucker ProductFinite Element Method
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