multigrid method to solve PDE [duplicate]

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multigrid method to solve PDE

I need explanation of the Multigrid Method or some literature.

I am familiar with iterational methods including BiCGStab,CG,GS,Jacobi and preconditioning, but I am a beginner with multigrid method.

Can someone explain this in detail or at least provide clearly pseudocode or source code, even with good literature for very beginners? Thanks!

@NurlanKenzhebekov: We strongly discourage cross posting the same question on multiple SE sites. Since you already received an answer on scicomp, you should delete your post on the math SE website.
@ChristianClason Yup, exact duplicate, and I see my answer here is startlingly similar to yours. Should we merge them?
@JedBrown - I agree. I'd be very helpful to have your comments in the list. Should I mark my answer community wiki?
@ChristianClason If you like, but either of us can edit as is.

Jed Brown · Answer 1 · 2013-01-23 02:03:07Z

The following are good references:

Brandt, Multigrid Techniques, revised edition, 2011, (or download the pdf). This is a great development of multigrid philosophy and multiscale modeling and stands a good chance of profoundly changing your way of thinking about implicit solvers. Achi Brandt's website contains many more references, including his 2000 Review of Multiscale Scientific Computation.
Trottenberg, Oosterlee, and Schueller, Multigrid has more worked examples and provides more experiments and details on MG methods, especially in the context of CFD.
Briggs, Multigrid Tutorial, 2000 (slides: part 1 and part 2) is a more casual source and provides a gentle introduction to multigrid principles.

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