Smoothers, mesh dependent norms, interpolation and multigrid

Applied Numerical Mathematics

Volumn 43, Issue 1-2, 2002, Pages 45-56

  Brenner, Susanne C ^a  

^a UNIVERSITY OF SOUTH CAROLINA   (United States)

Author keywords

Damped Jacobi; Finite element; Interpolation estimates; Mesh dependent norms; Multigrid; Richardson; Symmetric Gauss Seidel

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; FINITE ELEMENT METHOD; INTERPOLATION; MATHEMATICAL OPERATORS;

MULTIGRID ALGORITHMS;

CONVERGENCE OF NUMERICAL METHODS;

EID: 0036776426     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(02)00117-4     Document Type: Conference Paper

References (21)

1. Convergence of the multigrid V-cycle algorithm for second order boundary value problems without full elliptic regularity
2. Multilevel Schwarz methods
3. New estimates for multigrid algorithms including the V-cycle
4. Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity
5. Multigrid convergence theory
6. A new convergence proof for the multigrid method including the V-cycle
7. New convergence estimates for multigrid algorithms
8. Convergence of nonconforming V-cycle and F-cycle multigrid algorithms for second order elliptic boundary value problem
9. Elliptic boundary value problems on corner domains
10. Variational multigrid theory
11. The Analysis of multigrid methods
12. Sharp estimates for multigrid rates of convergence with general smoothing and acceleration
13. An optimal order process for solving finite element equations
14. 2 projection
15. Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities
16. The analysis of smoothers for multigrid algorithms