EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues Volume 38 / No 5 (September-October 2004) ESAIM: M2AN, 38 5 (2004) 765-780 References
Free Access
Issue
ESAIM: M2AN
Volume 38, Number 5, September-October 2004
Page(s) 765 - 780
DOI https://doi.org/10.1051/m2an:2004038
Published online 15 October 2004
  1. M. Brezina, Robust iterative method on unstructured meshes. Ph.D. Thesis, University of Colorado at Denver (1997). [Google Scholar]
  2. M. Brezina and P. Vaněk, A black–box iterative solver based on a two–level Schwarz method. Computing 63 (1999) 233–263. [CrossRef] [MathSciNet] [Google Scholar]
  3. O. Broeker, M.J. Grote, C. Mayer and A. Reusken, Robust parallel smoothing for multigrid via sparse approximate inverses. SIAM J. Sci. Comput. 23 (2001) 1396–1417. [CrossRef] [MathSciNet] [Google Scholar]
  4. M. Dryja and O.B. Widlund, Domain decomposition algorithms with small overlap. SIAM J. Sci. Comput. 15 (1994) 604–620. [CrossRef] [MathSciNet] [Google Scholar]
  5. M. Dryja and O.B. Widlund, Schwarz methods of Neumann-Neumann type for three-dimensional elliptic finite element problems. Comm. Pure Appl. Math. 48 (1995) 121–155. [CrossRef] [MathSciNet] [Google Scholar]
  6. L. Formaggia, A. Scheinine and A. Quarteroni, A numerical investigation of Schwarz domain decomposition techniques for elliptic problems on unstructured grids. Math. Comput. Simulations 44 (1994) 313–330. [CrossRef] [Google Scholar]
  7. G.H. Golub and C.F. van Loan, Matrix Computations. The Johns Hopkins University Press, Baltimore, Maryland (1983). [Google Scholar]
  8. L. Jenkins, T. Kelley, C.T. Miller and C.E. Kees, An aggregation-based domain decomposition preconditioner for groundwater flow. Technical Report TR00–13, Department of Mathematics, North Carolina State University (2000). [Google Scholar]
  9. C.E. Kees, C.T. Miller, E.W. Jenkins and C.T. Kelley, Versatile multilevel Schwarz preconditioners for multiphase flow. Technical Report CRSC-TR01-32, Center for Research in Scientific Computation, North Carolina State University (2001). [Google Scholar]
  10. C. Lasser and A. Toselli, An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems. Technical Report 810, Dept. of Computer Science, Courant Institute (2000). Math. Comput. 72 (2003) 1215–1238. [CrossRef] [Google Scholar]
  11. C. Lasser and A. Toselli, Convergence of some two-level overlapping domain decomposition preconditioners with smoothed aggregation coarse spaces. Technical Report TUM-M0109, Technische Universität München (2001). [Google Scholar]
  12. W. Leontief, The structure of the American Economy. Oxford University Press, New York (1951). [Google Scholar]
  13. J. Mandel and B. Sekerka, A local convergence proof for the iterative aggregation method. Linear Algebra Appl. 51 (1983) 163–172. [CrossRef] [MathSciNet] [Google Scholar]
  14. L. Paglieri, A. Scheinine, L. Formaggia and A. Quarteroni, Parallel conjugate gradient with Schwarz preconditioner applied to fluid dynamics problems, in Parallel Computational Fluid Dynamics, Algorithms and Results using Advanced Computer, Proceedings of Parallel CFD'96, P. Schiano et al., Eds. (1997) 21–30. [Google Scholar]
  15. A. Quarteroni and A. Valli, Numerical Approximation of Partial Differential Equations. Springer-Verlag, Berlin (1994). [Google Scholar]
  16. A. Quarteroni and A. Valli, Domain Decomposition Methods for Partial Differential Equations. Oxford University Press, Oxford (1999). [Google Scholar]
  17. M. Sala and L. Formaggia, Parallel Schur and Schwarz based preconditioners and agglomeration coarse corrections for CFD problems. Technical Report 15, DMA-EPFL (2001). [Google Scholar]
  18. M. Sala and L. Formaggia, Algebraic coarse grid operators for domain decomposition based preconditioners, in Parallel Computational Fluid Dynamics – Practice and Theory, P. Wilders, A. Ecer, J. Periaux, N. Satofuka and P. Fox, Eds., Elsevier Science, The Netherlands (2002) 119–126. [Google Scholar]
  19. B.F. Smith, P. Bjorstad and W.D. Gropp, Parallel Multilevel Methods for Elliptic Partial Differential Equations. Cambridge University Press, Cambrige (1996). [Google Scholar]
  20. P. Le Tallec, Domain decomposition methods in computational mechanics, in Computational Mechanics Advances, J.T. Oden, Ed., North-Holland 1 (1994) 121–220. [Google Scholar]
  21. R.S. Tuminaro and C. Tong, Parallel smoothed aggregation multigrid: Aggregation strategies on massively parallel machines, in SuperComputing 2000 Proceedings, J. Donnelley, Ed. (2000). [Google Scholar]
  22. P. Vanek, M. Brezina and R. Tezaur, Two-grid method for linear elasticity on unstructured meshes. SIAM J. Sci. Comput. 21 (1999) 900–923. [CrossRef] [MathSciNet] [Google Scholar]
  23. P. Vanek, M. Brezina and J. Mandel, Convergence of algebraic multigrid based on smoothed aggregation. Numer. Math. 88 (2001) 559–579. [CrossRef] [MathSciNet] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you