petsc-3.7.1 2016-05-15
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# PCEXOTIC

Two level overlapping Schwarz preconditioner with exotic (non-standard) coarse grid spaces This uses the PCMG infrastructure restricted to two levels and the face and wirebasket based coarse Many brgrid spaces. Many br

Notes: By default this uses GMRES on the fine grid smoother so this should be used with KSPFGMRES or the smoother changed to not use GMRES Many br

### References

| 1. | - These coarse grid spaces originate in the work of Bramble, Pasciak and Schatz, "The Construction Many brof Preconditioners for Elliptic Problems by Substructing IV", Mathematics of Computation, volume 53, 1989. Many br
| 2. | - They were generalized slightly in "Domain Decomposition Method for Linear Elasticity", Ph. D. thesis, Barry Smith, Many brNew York University, 1990. Many br
| 3. | - They were then explored in great detail in Dryja, Smith, Widlund, "Schwarz Analysis Many brof Iterative Substructuring Methods for Elliptic Problems in Three Dimensions, SIAM Journal on Numerical Many brAnalysis, volume 31. 1994. These were developed in the context of iterative substructuring preconditioners. Many br
| 4. | - They were then ingeniously applied as coarse grid spaces for overlapping Schwarz methods by Dohrmann and Widlund. Many brThey refer to them as GDSW (generalized Dryja, Smith, Widlund preconditioners). See, for example, Many brClark R. Dohrmann, Axel Klawonn, and Olof B. Widlund. Extending theory for domain decomposition algorithms to irregular subdomains. In Ulrich Langer, Marco Many brDiscacciati, David Keyes, Olof Widlund, and Walter Zulehner, editors, Proceedings Many brof the 17th International Conference on Domain Decomposition Methods in Many brScience and Engineering, held in Strobl, Austria, 2006, number 60 in Many brSpringer Verlag, Lecture Notes in Computational Science and Engineering, 2007. Many br
| 5. | - Clark R. Dohrmann, Axel Klawonn, and Olof B. Widlund. A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. In Ulrich Langer, Many brMarco Discacciati, David Keyes, Olof Widlund, and Walter Zulehner, editors, Proceedings Many brof the 17th International Conference on Domain Decomposition Methods Many brin Science and Engineering, held in Strobl, Austria, 2006, number 60 in Many brSpringer Verlag, Lecture Notes in Computational Science and Engineering, 2007 Many br
| 6. | - Clark R. Dohrmann, Axel Klawonn, and Olof B. Widlund. Domain decomposition Many brfor less regular subdomains: Overlapping Schwarz in two dimensions. SIAM J. Many brNumer. Anal., 46(4), 2008. Many br
| 7. | - Clark R. Dohrmann and Olof B. Widlund. An overlapping Schwarz Many bralgorithm for almost incompressible elasticity. Technical Report Many brTR2008 912, Department of Computer Science, Courant Institute Many brof Mathematical Sciences, New York University, May 2008. URL: Many br

Options Database: The usual PCMG options are supported, such as -mg_levels_pc_type <type> -mg_coarse_pc_type <type> Many br-pc_mg_type <type> Many br

Many br

### See Also

PCMG, PCSetDM(), PCExoticType, PCExoticSetType()

Level:advanced
Location:src/ksp/pc/impls/wb/wb.c
Index of all PC routines
Table of Contents for all manual pages
Index of all manual pages