Brief Multigrid Bibliography (see also MGNet & CFD Resources)

General References

A. Brandt. "Multi-level adaptive solutions to boundary-value problems." Math. Comp., 31, 333-390, (1977)

W. Hackbusch and U. Trottenberg. Lecture Notes in Mathematics , 960, (Multigrid Methods), (1982)

A. Brandt. "Guide to multigrid development.", ibid., 220-312, (1982)

W. Hackbusch. "Multi-grid convergence theory.", ibid., 177-219, (1982)

S. F. McCormick. Frontiers in Applied Mathematics , 3, (Multigrid Methods), (1987)

P. Wesseling. An Introduction to Multigrid Methods , (1992)

U. Rude. "Fully adaptive multigrid methods." SIAM J. Numer. Anal. , 30, 230-248, (1993)

Parallel References

T. F. Chan and R. S. Tuminaro. "Design and implementation of parallel multigrid algorithms." In Proceedings of the Third Copper Mountain Conference on Multigrid Methods, S. F. McCormick, ed., 101-115, (1987)

C. C. Douglas and J. Douglas. "A greatly simplified theory for parallel multigrid or projection methods." In Proceedings of the Fifth SIAM Conference on Parallel Processing for Scientific Computing, D. Sorensen et al eds., 105-110, (1992)

P. O. Frederickson and O. A. McBryan. "Parallel superconvergent multigrid", Lecture Notes in Pure and Applied Mathematics, 110, ( Multigrid Methods: Theory, Applications, and Supercomputing), S. F. McCormick, ed., 195-210, (1988)