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<p>This work investigates multigrid methods on triangular grids with aggressive coarsening and incomplete factorization smoothers. Two-grid local Fourier analysis is employed to optimize smoothing parameters and ensure rapid convergence under aggressive coarsening. A two-dimensional diffusion problem serves as a test case, demonstrating that aggressive coarsening is a viable alternative to standard coarsening. The results highlight substantial computational and memory savings, making aggressive coarsening an efficient choice for multigrid method.</p>

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Local Fourier analysis of multigrid methods with ILU smoother for triangular grids using aggressive coarsening

  • 期刊论文

  • 发表日期：

    2025年3月13日

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  • Grazielli Vassoler-Rutz,
  • Michely L. Oliveira,
  • Marcio A. V. Pinto

摘要

This work investigates multigrid methods on triangular grids with aggressive coarsening and incomplete factorization smoothers. Two-grid local Fourier analysis is employed to optimize smoothing parameters and ensure rapid convergence under aggressive coarsening. A two-dimensional diffusion problem serves as a test case, demonstrating that aggressive coarsening is a viable alternative to standard coarsening. The results highlight substantial computational and memory savings, making aggressive coarsening an efficient choice for multigrid method.