Convergence of the multigrid V-cycle algorithm for second-order boundary value problems without full elliptic regularity

Mathematics of Computation

Volumn 71, Issue 238, 2002, Pages 507-525

  Brenner, Susanne C ^a  

^a UNIVERSITY OF SOUTH CAROLINA   (United States)

Author keywords

Second order boundary value problems without full elliptic regularity; V cycle multigrid algorithm

Indexed keywords

EID: 0036013521     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-01-01361-8     Document Type: Article

References (33)

1. Sharp estimates for multigrid rates of convergence with general smoothing and acceleration
2. An optimal order process for solving finite element equations
3. A new convergence proof for the multigrid method including the V-cycle
4. Multigrid methods
5. Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation
6. New convergence estimates for multigrid algorithms
7. New estimates for multigrid algorithms including the V-cycle
8. Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity
9. The analysis of multigrid methods
10. Uniform convergence of the multigrid V-cycle for an anisotropic problem
11. Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities
12. A nonstandard finite element interpolation estimate
13. Multigrid methods for the computation of singular solutions and stress intensity factors II: Crack singularities
14. Approximation by finite element functions using local regularization
15. Elliptic boundary value problems on corner domains
16. Polynomial approximation of functions in Sobolev spaces
17. On the abstract theory of additive and multiplicative Schwarz algorithms
18. Multigrid convergence theory
19. Variational multigrid theory
20. Multigrid methods for variational problems: Further results
21. Elliptic problems in domains with piecewise smooth boundaries
22. V-cycle convergence with unsymmetric smoothers and applications to an anisotropic model problem
23. Finite element interpolation of nonsmooth functions satisfying boundary conditions
24. Iterative methods by space decomposition and subspace correction
25. Old and new convergence proofs for multigrid methods
26. Multilevel Schwarz methods