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Multigrid With Overlapping Patches  (Make Corrections)  
Markus Berndt, Kristian Witsch
Seventh Copper Mountain Conference on Multigrid Methods



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Abstract: INTRODUCTION The Schwarz algorithm is a useful tool when it comes to adaptive refinement. The implementation of these complex algorithms can be kept simple by using regular grid structures for the discretization. However, any sophisticated refinement strategy will yield highly irregular refinement regions. In [6] and [11] an implementation of the AFACx algorithm is presented that is based on block structured refinement grids, that consist of non-overlapping regular cartesian grids. There are... (Update)

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BibTeX entry:   (Update)

@inproceedings{ berndt96multigrid,
    author = "M. Berndt and K. Witsch",
    title = "Multigrid with overlapping patches",
    booktitle = "Seventh Copper Mountain Conference on Multigrid Methods",
    volume = "CP 3339",
    publisher = "NASA",
    address = "Hampton, VA",
    editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick and C. C. Douglas",
    pages = "31--40",
    year = "1996",
    url = "citeseer.ist.psu.edu/40620.html" }
Citations (may not include all citations):
28   array classes for architecture independent finite difference.. (context) - Quinlan, Parsons - 1994
23   Composite overlapping meshes for the solution of partial dif.. (context) - Chesshire, Henshaw - 1990
23   Some Schwarz methods for symmetric and nonsymmetric elliptic.. - Widlund - 1992
12   Gesammelte Mathematische Abhandlungen (context) - Schwarz - 1980
10   for partial differential equations: ideas and software (context) - Brandt, techniques - 1977
10   Asynchronous multilevel adaptive methods for solving partial.. (context) - McCormick, Quinlan - 1989
6   An object--oriented approach for parallel self adaptive mesh.. (context) - Lemke, Witsch et al. - 1993
3   MGNet Bibliography - Douglas, Douglas - 1995
3   volume 3 of Frontiers in Applied Mathematics (context) - McCormick - 1987
3   Multilevel Verfahren mit selbst--adaptiven Gitterverfeinerun.. (context) - Lemke - 1993
1   User Manual (context) - Corporation, OR - 1991
1   Mehrgitterverfahren fur die Poisson--Gleichung in Kreis und .. (context) - Linden - 1981
1   Parallel Asynchronous Fast Adaptive Composite Grid Methods (context) - Quinlan - 1993
1   Multi-Level-Verfahren und Adaptive Verfeinerungen (context) - Berndt - 1994

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