Norm-based convergence bounds are established for nonsymmetric algebraic V-cycle multigrid methods using B-orthogonal projections, extending McCormick's V-cycle result.
Acta Numer.26, 591–721 (2017)
4 Pith papers cite this work. Polarity classification is still indexing.
citation-role summary
citation-polarity summary
fields
math.NA 4verdicts
UNVERDICTED 4roles
background 2polarities
background 2representative citing papers
Develops two-level convergence theory for LS-AMG-DD showing coarse-space weak approximation property bounded by spectral cutoff threshold, yielding factored bounds for multiplicative cycles with block-Jacobi and overlapping Schwarz smoothers on Gram-representable SPD matrices.
New convergence framework and optimal interpolation/restriction operators for nonsymmetric two-grid AMG methods under general B-norms.
Matching-based AMG preconditioners deliver robust and scalable performance for solving large ill-conditioned systems from IgA discretizations in parallel HPC settings.
citing papers explorer
-
Norm-based convergence bounds for nonsymmetric algebraic V-cycle multigrid methods
Norm-based convergence bounds are established for nonsymmetric algebraic V-cycle multigrid methods using B-orthogonal projections, extending McCormick's V-cycle result.
-
Optimal transfer operators for nonsymmetric two-grid methods
New convergence framework and optimal interpolation/restriction operators for nonsymmetric two-grid AMG methods under general B-norms.