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    This is a repository for information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods. These methods are used primarily by scientists and engineers to solve partial differential equations on serial or parallel computers.

    Multigrid has the property of using linear time and space to solve a collection of interesting problems, thus making it a very fast, robust solver. Domain decomposition methods are extremely useful for solving problems on oddly shaped domains or for parallelizing standard iterative methods.

    MGNet is large.  There are about 2,000 files in it.  You may want to look at the index to get a general idea what is here.  MGNet started out as an anonymous ftp site in 1991, but changed a few years later into a mirrored web site once the world wide web was invented.

    While MGNet tries to be the first and last place anyone interested in multigrid or domain decomposition methods needs to look, this is obviously not always possible. I keep a page of hyperlinks to some other sources of interest for these communities. Please send suggestions for other links.

    You may retrieve any file in MGNet that has read permission. If you have problems determining what file types are (and how to unpack them) in MGNet, you might want to review my explanation file.

    You may also add files to the archive through a submission process.   MGNet always needs more.  There is no professional staff producing this site.  I rely solely on volunteers providing information on a very regular basis (monthly to be exact).

    Warning: Unless stated otherwise, everything in this repository is use at your own risk. There are no warranties implied or expressed, not even that anything does what it claims to do or will even install.


    At the beginning of each month, a newsletter is sent out to the entire MGNet mailing list. To post a message to the MGNet newsletter, send electronic mail to

The newsletter always needs more content. Items that are sought after include technical discussions (but not tirades), meeting and course information relevant to multigrid, and abstracts for codes, papers, and books.  Of particular interest are citations to published papers.

    You can receive a free subscription to the newsletter by sending a message to

with your name and electronic mail address in the message. You will also receive more information about MGNet when your request is processed.  Note:  By free, I mean that I do not charge you for the newsletters.  Check with your Internet provider for its charges, if any, for receiving an e-mail message.


    MGNet contains a large number of papers on many topics, not just multigrid. However, most papers have a partial differential equation or two in them and are aimed at an audience of scientists and engineers.

Out of Print Books

    MGNet contains one out of print book (so far).  It is Pieter Wesseling's An Introduction to Multigrid Methods (1992).  Hopefully, more will be put here.


    MGNet's bibliography grows whenever new entries come to the attention of its authors. (Please send yours.) This is a large BibTeX database which you are free to use. The bibliography is available as a citable document, too.


    If you are new to the multigrid, adaptive grid refinement, or domain decomposition fields, or just wonder what MGNet is all about, look here. There are pointers to some rather nice tutorials on the subjects.

Free Software

    A number of software packages are stored on MGNet. Some are public domain, some are copyrighted, and some may someday be copyrighted. If you have a multigrid, domain decomposition, or parallel code or package, you can place a copy in MGNet, too.

Virtual Proceedings

    Several multigrid conferences have a habit of publishing pre-proceedings or electronic proceedings. The Copper Mountain multigrid conferences (held on odd numbered years in April when the snow is still good for skiing) and the GAMM workshops on parallel multigrid (held in Germany and Austria from time to time at rather nice places) are examples of this.

    Find out why multigrid and domain decomposition are such nice fields to work in.

Conference Announcements

    Numerous conferences are announced months in advance. Here are a some that would interest MGNet's audience. This area of MGNet changes often.

Mystery Link

    This changes from time to time.  The goal is for it to change once a week, but monthly seems to be the frequency at the moment.

The Sponsors

    MGNet is supported in part by

University of Kentucky, Center for Computational Sciences, Lexington, Kentucky, USA.

Yale University, Department of Computer Science, New Haven, Connecticut, USA.

CERFACS, Parallel Algorithms Group, Toulouse, France.

National Center for High-Performance Computing (NCHC), Hsinchu, Taiwan.

University of Tokyo, Tokyo, Japan.

Universität Tübingen, Tübingen, Germany.

The National Science Foundation through grant awards DMS-9707040 and ACR-9721388.

Each of these institutions puts up real resources to support MGNet:  in the form of computer access, mirroring facilities, or grant support to projects that are related to MGNet.  However, none of these institutions takes any responsibility for any of the contents or opinions expressed within and might even disagree with them.

    IBM's Research Division was a sponsor from 1991-1996. In addition, many people have contributed suggestions and their own time to make MGNet a success. If you have a suggestion, please send me a note.

Craig C. Douglas

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